Successful Brushless A.C. Power Extraction From The Faraday Acyclic Generator

Size: px
Start display at page:

Download "Successful Brushless A.C. Power Extraction From The Faraday Acyclic Generator"

Transcription

1 Successful Brushless A.C. Power Extraction Fro The Faraday Acyclic Generator July 11, 21 Volt = volt 1) If we now consider that the voltage is capable of producing current if the ri of the disk is connected to the axis through a suitable load resistance, then current is also a direct function of the rate of rotation, ω. by Jerry E. Bayles The A vector circulates around the B vector in the anner of the flux circulation around a current carrying wire in the standard definition for the right hand rule. I. E., If the right hand thub points in the direction of agnetic flux, then the A vector rotates or circulates in the direction of the curled fingers of the right hand. The right hand rule for the direction of agnetic flux is established as being in the direction of the curled fingers of the right hand when the current flow is in the direction of the thub. This is for the conventional current flow theory where positive charges flow fro a positive terinal to a negative potential terinal. This is the prerequisite for the following two force generations. The next order of action is to establish the right hand three vector generator rule where the thub is force of rotation action F, the index finger is the direction of agnetic flux B and finally the current I is the iddle finger where all three vectors or fingers are 9 degrees to each other. The last order of action is the right hand rule for the generation of axial force that utilizes the thub in the direction of the A vector, the index finger in the direction of force, and finally, the iddle finger in the direction of the sae current as for the agnetic rotational force above. The Faraday equation for the acyclic generator is presented below as equation 1. Let: B := 515 gauss B =.515 tesla R1 :=.125 in R2 := 1. in r:= R2 R1 RPM := 12 f := RPM 6 1 sec 1 f = 2Hz ω := 2 π f Total resistance of the current path is easured to be : R t := oh Then: R2 Volt := ω R1 Br dr Volt I := I = ap R t Note: Another way of looking at the generated current is to consider that the current flows whether a load is connected or not. This by reason that the near space to the surface of the conductive agnetic disk has a current flow fro energy space. In: R2 volt sec A := B dr A = ( ) Note that A is not dependent on the rotation rate. 2) R1 X Y Z X and Y are in the plane of agnetic disk rotation. B field is along the axis of rotation, Z. Note: B volt sec r 2 A sec dr volt r Zero frequency results in zero current as current depends on the circuit path having a source voltage which will be zero at zero Hz. Superconducting agnet surfaces ay yield very large current capability which could allow for significant force to be developed without overheating the agnet surfaces. 3)

2 ABUnits_1.MCD 2 In figure 1 below, the standard generator force vector notation for the right-hand rule (thub, index finger and iddle finger respectively) of F, B, and I for force F, agnetic flux density B, and current I respectively is used. This is for a two disk syste. Case 1: F B1 := B I ( r) F B1 = A) Case 2: F B2 := B I ( r) F B2 = B) The force of action is along the Y direction as referenced to figure 1 below. Fig. 1 Case 1 Case 2 For the A vector, the thub points in the direction of the agnetic flux and the fingers curl in the direction of the circulation of the A vector. The direction of the B flux is fixed regardless of the rotation of the disks since the disks are peranent agnets. A force ay exist as shown iediately below where the cross product of the radial current I and the A vectors produce an axial force F. The generator ode is shown with a short circuit load. Case 1: F A1 := I A F A1 = A) Case 2: F A2 := I A F A2 = B)

3 3 Fig. #2 Case 1 Case 2 +A eans clockwise as viewed fro the left to the right along the Z axis of rotation. The net vector force along the Z axis adds. Force in the AFI pictorial is action force. This is 9 degrees to the action force involving the generator ters FBI shown in Fig. 1 above. The AFI ters are derived fro the FBI action vectors which ust occur first. It is obvious that having both agnetic disks aiding in their B fields will cause a net force to the right. The A vector follows the rotation direction for this case. Equation 5, case 1 and 2 is shown in fig. 2 above pictorially. Using the right-hand generator rule, a new sequence is generated by using A, F, and I as thub, index and iddle finger respectively. The force (F) nexus occurs at the intersection of the (A) vector and the current (I) vector and is 9 degrees to to both since all of the vectors are 9 degrees to each other. The voltage appears evenly around the ri of the disk and is easured fro R2 to R1. It is obvious that the voltage increases in direct proportion to the rate of rotation ω. B and A agnitudes are independent of the rate or direction of rotation of the agnetic disk. R2 vel1 := ω dr R1 W B1 := W B1 S B1 := λ1 2 P B := F B1 ( ω r ) W B1 λ1 2 vel1 vel1 = sec -1 W B1 = S B1 = P B = watt watt Also: ω r = sec -1 vel1 λ1 := f λ1 = Wavelength reains constant with a change of rotation frequency. The Poynting vector power S B1 as well as the regular power P B are radiated radially fro the axis of rotation of the agnets as will be explained below. This is related to the B field force above. 6) 7) 8) 9) E := vel1 B E = volt E increases in direct proportion to the disk frequency. 1)

4 4 The above syste is based on a variable pereability space-tie if it is copared to free space. The above syste is not in our ordinary space-tie as a result. An increase of rotation frequency induces greater energy and thus power fro energy space. The result is propulsion which can be used in deep space and therefore releases us fro the gravitational chains of our Earth. Electroagnetic Poynting vector equations for free space radiation power per eter squared is shown below and yields results that are uch greater than the above calculation S B1. c := sec µ o 4 π henry := S rad := EB 2 µ o P c := S rad c 1 S rad = watt 2 P c = Note: E is in the X and Y plane and points radially fro the Z axis. B points along the Z axis. Any vector chosen arbitrarily in the X-Y, (E vector plane), taken as a cross- product of the B vector will produce a pressure vector outwards 9 degrees fro the Z axis and 9 degrees to the E and B vectors. 11) 12) The above suggests that a relative pereability ay be solved for to reconcile the velocity of free space c to the vel paraeter of the two disk agnetic syste of figures 1 and 2 above. Let: S B1 = EB 2 µ r µ o Then: EB µ r := S B1 2 µ o µ r = ) S := EB 2 µ r µ o S = watt Ck: (o.k.) Relative pereability decreases with an increase of rotation frequency. It can even be less than unity. 14) S above is now equal to the result in eq. 8 above for the two disk agnetic rotating syste. S B1 = watt 16) For the radial pressure discussed above: P rad := E B 1 2µ r µ o vel P rad = 17) Note that the outwards pressure is 9 degrees to the axis of rotation. It is in the XY plane of the agnetic disk rotation

5 5 The following interesting relationships exists: ( ) µ o µ r I 2 F fund := F fund = finally, 2 π 2 F fund = 1 F B1 18) The pereability of space ties current equals the A vector and the A vector ties current again is force. ( µ r ) µ o I 2 π 2 = volt sec ( µ r ) µ o I 2 2 π 2 = ) The inductance and capacitance for resonance of the above syste related to the disk circuference is: ( ) µ o L := µ r 2 π r L = H (Millihenry) 2) C := 1 C = µf (Microfarad) 21) 4 π 2 f 2 L Check: 1 f r := f r = 2 Hz (o.k.) 2 π LC 22) The current derived fro rotation ties the pereability of free space yields an A vector uch less than in equation 2 above. Let: µ o 4 π henry := Then: A µo := µ o I A µo volt sec = 23) This inor A vector is inline with the current I in deference to the ajor A vector generated around the B vector. Further, both are 9 degrees to each other. Then there is not a cross product force associated with the inor A vector. Relative pereability is: A µ Ar := µ Ar = Relative pereability increase due to I. 24) A µo Finally: µ r µ Ar 2 π 2 = 1 25)

6 6 Tests show a resonance of an aeter needle as well as a uch ore assive pair of peranent agnets ounted on a swivel arrangeent as in the below pictures in figures 3 and 4. Both ove vigorously at near the Schuan frequency and a definite force can be felt by the finger tips when attepting to stop the vibration of the swivel agnet arrangeent. Since the ain disk agnets are nearly unifor in the diaeter and thus agnetic field, there would not be expected such a powerful oscillation under noral circustances. Perhaps a field is being radiated that is free energy at near the Schuann frequency. With that in ind, the following atheatical analysis is presented. Fig. 3 Fig. 4 North Side Magnetic Balance South Side Magnetic Balance In the above figures, the brush contacts are dropped below the disk agnets and are thus out of the easureent. f Schu := 8Hz Known epirically established Schuann frequency. λ2 := 2 π R2 λ2 = (All λ's are constant.) 26) λ := λ2 λ1 λ = f Schu ( λ) = sec -1 Note: 1 λ = in 1 and 4 π = ) ( = square root of the Golden Ratio.) f Schu ( λ) λ2 = 1Hz One (1) hertz is one 1/1second and therefore the expression at the left at 8 Hz is hidden in all frequencies. Any frequency other than 8 Hz will not yield the exact one hertz or second. A resonance at 2π Hz and 8. Hz occurs during testing. At the 2π Hz resonance, the entire test bed vibrates and at 8. Hz, the balance agnets in figures 3 and 4 swing back and forth violently. The eter also vibrates and sees to follow the action of the balance agnets. Further, the static alignent of the balance agnets reain relatively still as shown if the disks are rotated slowly by hand. Due to the alignents being 9 degrees out fro one side of the disks to the other, it is postulated that there is soe sort of active standing quarter wave across the disks even when they are not being rotated. Further, it is locked into an geographical North-South alignent for this setup. The North-South alignent ay not be ore than coincidence but the standing wave is locked into the above alignent. When the disks are spun, the standing wave is force to degenerate and radiate. This radiated field power has been easured and the results are encouraging. This eans that no contacts are needed on the Faraday disk to extract power under the above setup conditions.

7 7 The hidden frequency constant above is coparable to the hidden force in y electrogravitational equation that is also a constant and since it is a constant it does not show up in the output force that is a variable. The electrogravitational equation is shown below and a full explanation is presented on y web site at Fig. 5 A cylindrical outwards slow oving field of agnetic radiation at the Schuan frequency ay be fored by the cross product of the agnetic Z axis B field and the velocity vel1 in the X and Y axis. vel S Schu := vel1 S Schu B Tesla ties velocity indicates a agnetic field in linear otion. = sec -1 tesla This resonates and induces free 28) Schuann frequency energy at 8 Hz. The units also can be expressed in volts/eter. I suggest that the two fors can alternate with distance in a longitudinal anner. In that case, the field can act not only on other agnetic fields but also electrically charged objects. Even neutral field ass ay be acted on since another unit for is per coulob which involves ass ties acceleration over charge. The two disks are aligned with fields aiding and nearly perfectly unifor in the radius of rotation. That being so, the fields can be expected to show little non-unifority around the axis of rotation for a given radius to the circuference. It is found by epirical tests however that when the disks are rotated, an electroagnetic field is radiated in proportion to speed. Thus equations 1 through 17 above are substantiated by actual easureent. The increase in current and voltage in the pickup coil(s) are close to equal regardless of whether the core is iron or air. Equation 1 above shows that the E field will increase as the disk rotation velocity increases and this is easured to be the case. This suggests that there is a current and potential in the radiated field and as a result the field changes in aplitude with distance and tie but in a longitudinal fashion? Whence the variation in the field around the disks? Perhaps a standing wave between the disks exists and also around the disks when they are standing still. Two identical sall agnets ounted on a rotor free to ove on a low friction point of balance is brought to the sides of the agnet disks and if placed on the near side, the balanced agnet indicator lines up parallel to the axis of the disks. If however the balanced indicator agnets are placed on the far opposite side, the balance agnets line up towards the axis and between the disks! Since the disks are uniforly agnetized and unifor radially fro the axis, this is ost unexpected. If the disks are slowly oved in rotation, the sae results are obtained. Is there a standing wave fixed around the agnets? Further tests reveal that free fro any contacts, the near side balance test oscillates the test agnet balance the ost at 8.3 Hz and the far side position oscillates at 6.28 Hz. Also, at 6.28 Hz, the entire support for the agnet disk rotors and drill otor is observed to shake vigorously with a sharp resonance point at 6.28 Hz. If we divide 8 Hz by 4/ π we will arrive at 2π exactly. (See eq. 28 above for relevance.)

8 Below is the pickup coil that was used to extract the field energy fro the spinning quarter wave resonant Faraday disk generator as described above. Fig. 5 8 It is interesting that 2π ultiplied by the sexagesial nuber 6 yields a nuber that in agnitude is extreely close to the free space resistance of ohs. Divide this by 2 and then divide again by the fine structure constant α and we arrive at the quantu oh. Then it is possible that the disks are acting as a quantu energy space to free space energy transforer using resonant standing waves? Results are for botto coil 12 RPM. D.C. coil resistance: Max. current: Open circuit voltage: 6.7 oh 68 A v pp.68 v rs, 2. v pp With both lower and upper coils in series, the resistance was: 19.7 oh. The current was 38 A a.c. and the voltage was.812 v rs, 2.5 v pp. It is obvious that a lower resistance aids in the current generation by alost doubling the current while the voltage drops to only 2/3 that of the double coil pickup arrangeent. A superconducting pickup coil ay deliver large quantities of current, especially if the agnet surfaces are also superconductors. Below is a preliinary setup for deterining the brush current utilizing copper braid. This is no longer needed! Fig. 6 Disk agnets are shown with brushes attached. This is an early test where the disks are ounted with opposing fields to build the output voltage in series fashion. This was prior to discovery of the standing wave phenoena around the disks as described above. The output axiu was about 3 aps d.c. at 12 RPM. The connecting shaft is coon to both disks electrically and echanically.

9 Conclusion: It ay be serendipitous that the diensions of the agnets used develop a standing wave that yield the properties of being related to the golden ratio as shown in equations 26 and 27 on page 6 above. 9 The reader ay be interested in duplicating the above siple test arrangeent. If so, the agnets can be purchased fro: These are very strong agnets and therefore great care should be exercised in the handling of the. Use wood and brass claps, etc. Help on the construction details of the above apparatus will be provided as needed or requested. Researched and tested by: Jerry E. Bayles jebayles21@yahoo.co ElectrogravityWorks July 11, 21

A NEW ELECTROSTATIC FIELD GEOMETRY. Jerry E. Bayles

A NEW ELECTROSTATIC FIELD GEOMETRY. Jerry E. Bayles INTRODUCTION A NEW ELECTROSTATIC FIELD GEOMETRY by Jerry E Bayles The purpose of this paper is to present the electrostatic field in geoetrical ters siilar to that of the electrogravitational equation

More information

Lecture #8-3 Oscillations, Simple Harmonic Motion

Lecture #8-3 Oscillations, Simple Harmonic Motion Lecture #8-3 Oscillations Siple Haronic Motion So far we have considered two basic types of otion: translation and rotation. But these are not the only two types of otion we can observe in every day life.

More information

Pearson Physics Level 30 Unit VI Forces and Fields: Chapter 12 Solutions

Pearson Physics Level 30 Unit VI Forces and Fields: Chapter 12 Solutions Concept Check (top) Pearson Physics Level 30 Unit VI Forces and Fields: Chapter 12 Solutions Student Book page 583 Concept Check (botto) The north-seeking needle of a copass is attracted to what is called

More information

Faraday's Law Warm Up

Faraday's Law Warm Up Faraday's Law-1 Faraday's Law War Up 1. Field lines of a peranent agnet For each peranent agnet in the diagra below draw several agnetic field lines (or a agnetic vector field if you prefer) corresponding

More information

Electromagnetic Waves

Electromagnetic Waves Electroagnetic Waves Physics 4 Maxwell s Equations Maxwell s equations suarize the relationships between electric and agnetic fields. A ajor consequence of these equations is that an accelerating charge

More information

Field Mass Generation and Control. Chapter 6. The famous two slit experiment proved that a particle can exist as a wave and yet

Field Mass Generation and Control. Chapter 6. The famous two slit experiment proved that a particle can exist as a wave and yet 111 Field Mass Generation and Control Chapter 6 The faous two slit experient proved that a particle can exist as a wave and yet still exhibit particle characteristics when the wavefunction is altered by

More information

= T. Oscillations and Waves. Example of an Oscillating System IB 12 IB 12

= T. Oscillations and Waves. Example of an Oscillating System IB 12 IB 12 Oscillation: the vibration of an object Oscillations and Waves Eaple of an Oscillating Syste A ass oscillates on a horizontal spring without friction as shown below. At each position, analyze its displaceent,

More information

Problem Set 14: Oscillations AP Physics C Supplementary Problems

Problem Set 14: Oscillations AP Physics C Supplementary Problems Proble Set 14: Oscillations AP Physics C Suppleentary Probles 1 An oscillator consists of a bloc of ass 050 g connected to a spring When set into oscillation with aplitude 35 c, it is observed to repeat

More information

Spinning Disk and Chladni Plates

Spinning Disk and Chladni Plates Spinning Disk and Chladni Plates Subitted By MD MARUFUR RAHMAN Msc Sustainable Energy Systes Beng(Hons) Mechanical Engineering Bsc Coputer Science and Engineering Table of Contents Spinning Disk... 3 1.0

More information

Reading from Young & Freedman: For this topic, read the introduction to chapter 25 and sections 25.1 to 25.3 & 25.6.

Reading from Young & Freedman: For this topic, read the introduction to chapter 25 and sections 25.1 to 25.3 & 25.6. PHY10 Electricity Topic 6 (Lectures 9 & 10) Electric Current and Resistance n this topic, we will cover: 1) Current in a conductor ) Resistivity 3) Resistance 4) Oh s Law 5) The Drude Model of conduction

More information

U V. r In Uniform Field the Potential Difference is V Ed

U V. r In Uniform Field the Potential Difference is V Ed SPHI/W nit 7.8 Electric Potential Page of 5 Notes Physics Tool box Electric Potential Energy the electric potential energy stored in a syste k of two charges and is E r k Coulobs Constant is N C 9 9. E

More information

Chapter 28: Alternating Current

Chapter 28: Alternating Current hapter 8: Alternating urrent Phasors and Alternating urrents Alternating current (A current) urrent which varies sinusoidally in tie is called alternating current (A) as opposed to direct current (D).

More information

MAKE SURE TA & TI STAMPS EVERY PAGE BEFORE YOU START

MAKE SURE TA & TI STAMPS EVERY PAGE BEFORE YOU START Laboratory Section: Last Revised on Deceber 15, 2014 Partners Naes: Grade: EXPERIMENT 8 Electron Beas 0. Pre-Laboratory Work [2 pts] 1. Nae the 2 forces that are equated in order to derive the charge to

More information

PHYS 102 Previous Exam Problems

PHYS 102 Previous Exam Problems PHYS 102 Previous Exa Probles CHAPTER 16 Waves Transverse waves on a string Power Interference of waves Standing waves Resonance on a string 1. The displaceent of a string carrying a traveling sinusoidal

More information

m A 1 m mgd k m v ( C) AP Physics Multiple Choice Practice Oscillations

m A 1 m mgd k m v ( C) AP Physics Multiple Choice Practice Oscillations P Physics Multiple Choice Practice Oscillations. ass, attached to a horizontal assless spring with spring constant, is set into siple haronic otion. Its axiu displaceent fro its equilibriu position is.

More information

MEASURING INSTRUMENTS

MEASURING INSTRUMENTS CLASS NOTES ON ELECTRICAL MEASUREMENTS & INSTRUMENTATION 05 MEASURING INSTRUMENTS. Definition of instruents An instruent is a device in which we can deterine the agnitude or value of the quantity to be

More information

Department of Physics Preliminary Exam January 3 6, 2006

Department of Physics Preliminary Exam January 3 6, 2006 Departent of Physics Preliinary Exa January 3 6, 2006 Day 1: Classical Mechanics Tuesday, January 3, 2006 9:00 a.. 12:00 p.. Instructions: 1. Write the answer to each question on a separate sheet of paper.

More information

XI PHYSICS M. AFFAN KHAN LECTURER PHYSICS, AKHSS, K. https://promotephysics.wordpress.com

XI PHYSICS M. AFFAN KHAN LECTURER PHYSICS, AKHSS, K. https://promotephysics.wordpress.com XI PHYSICS M. AFFAN KHAN LECTURER PHYSICS, AKHSS, K affan_414@live.co https://prootephysics.wordpress.co [MOTION] CHAPTER NO. 3 In this chapter we are going to discuss otion in one diension in which we

More information

9 HOOKE S LAW AND SIMPLE HARMONIC MOTION

9 HOOKE S LAW AND SIMPLE HARMONIC MOTION Experient 9 HOOKE S LAW AND SIMPLE HARMONIC MOTION Objectives 1. Verify Hoo s law,. Measure the force constant of a spring, and 3. Measure the period of oscillation of a spring-ass syste and copare it

More information

72. (30.2) Interaction between two parallel current carrying wires.

72. (30.2) Interaction between two parallel current carrying wires. 7. (3.) Interaction between two parallel current carrying wires. Two parallel wires carrying currents exert forces on each other. Each current produces a agnetic field in which the other current is placed.

More information

USEFUL HINTS FOR SOLVING PHYSICS OLYMPIAD PROBLEMS. By: Ian Blokland, Augustana Campus, University of Alberta

USEFUL HINTS FOR SOLVING PHYSICS OLYMPIAD PROBLEMS. By: Ian Blokland, Augustana Campus, University of Alberta 1 USEFUL HINTS FOR SOLVING PHYSICS OLYMPIAD PROBLEMS By: Ian Bloland, Augustana Capus, University of Alberta For: Physics Olypiad Weeend, April 6, 008, UofA Introduction: Physicists often attept to solve

More information

In the session you will be divided into groups and perform four separate experiments:

In the session you will be divided into groups and perform four separate experiments: Mechanics Lab (Civil Engineers) Nae (please print): Tutor (please print): Lab group: Date of lab: Experients In the session you will be divided into groups and perfor four separate experients: (1) air-track

More information

Flipping Physics Lecture Notes: Free Response Question #1 - AP Physics Exam Solutions

Flipping Physics Lecture Notes: Free Response Question #1 - AP Physics Exam Solutions 2015 FRQ #1 Free Response Question #1 - AP Physics 1-2015 Exa Solutions (a) First off, we know both blocks have a force of gravity acting downward on the. et s label the F & F. We also know there is a

More information

For a situation involving gravity near earth s surface, a = g = jg. Show. that for that case v 2 = v 0 2 g(y y 0 ).

For a situation involving gravity near earth s surface, a = g = jg. Show. that for that case v 2 = v 0 2 g(y y 0 ). Reading: Energy 1, 2. Key concepts: Scalar products, work, kinetic energy, work-energy theore; potential energy, total energy, conservation of echanical energy, equilibriu and turning points. 1.! In 1-D

More information

PH 221-2A Fall Waves - I. Lectures Chapter 16 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition)

PH 221-2A Fall Waves - I. Lectures Chapter 16 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) PH 1-A Fall 014 Waves - I Lectures 4-5 Chapter 16 (Halliday/Resnick/Walker, Fundaentals of Physics 9 th edition) 1 Chapter 16 Waves I In this chapter we will start the discussion on wave phenoena. We will

More information

Q5 We know that a mass at the end of a spring when displaced will perform simple m harmonic oscillations with a period given by T = 2!

Q5 We know that a mass at the end of a spring when displaced will perform simple m harmonic oscillations with a period given by T = 2! Chapter 4.1 Q1 n oscillation is any otion in which the displaceent of a particle fro a fixed point keeps changing direction and there is a periodicity in the otion i.e. the otion repeats in soe way. In

More information

A body of unknown mass is attached to an ideal spring with force constant 123 N/m. It is found to vibrate with a frequency of

A body of unknown mass is attached to an ideal spring with force constant 123 N/m. It is found to vibrate with a frequency of Chapter 14 [ Edit ] Overview Suary View Diagnostics View Print View with Answers Chapter 14 Due: 11:59p on Sunday, Noveber 27, 2016 To understand how points are awarded, read the Grading Policy for this

More information

Name Period. What force did your partner s exert on yours? Write your answer in the blank below:

Name Period. What force did your partner s exert on yours? Write your answer in the blank below: Nae Period Lesson 7: Newton s Third Law and Passive Forces 7.1 Experient: Newton s 3 rd Law Forces of Interaction (a) Tea up with a partner to hook two spring scales together to perfor the next experient:

More information

BALLISTIC PENDULUM. EXPERIMENT: Measuring the Projectile Speed Consider a steel ball of mass

BALLISTIC PENDULUM. EXPERIMENT: Measuring the Projectile Speed Consider a steel ball of mass BALLISTIC PENDULUM INTRODUCTION: In this experient you will use the principles of conservation of oentu and energy to deterine the speed of a horizontally projected ball and use this speed to predict the

More information

Current, Resistance Electric current and current density

Current, Resistance Electric current and current density General Physics Current, Resistance We will now look at the situation where charges are in otion - electrodynaics. The ajor difference between the static and dynaic cases is that E = 0 inside conductors

More information

Exam 3 Solutions. 1. Which of the following statements is true about the LR circuit shown?

Exam 3 Solutions. 1. Which of the following statements is true about the LR circuit shown? PHY49 Spring 5 Prof. Darin Acosta Prof. Paul Avery April 4, 5 PHY49, Spring 5 Exa Solutions. Which of the following stateents is true about the LR circuit shown? It is (): () Just after the switch is closed

More information

Energy and Momentum: The Ballistic Pendulum

Energy and Momentum: The Ballistic Pendulum Physics Departent Handout -10 Energy and Moentu: The Ballistic Pendulu The ballistic pendulu, first described in the id-eighteenth century, applies principles of echanics to the proble of easuring the

More information

Physics 207 Lecture 18. Physics 207, Lecture 18, Nov. 3 Goals: Chapter 14

Physics 207 Lecture 18. Physics 207, Lecture 18, Nov. 3 Goals: Chapter 14 Physics 07, Lecture 18, Nov. 3 Goals: Chapter 14 Interrelate the physics and atheatics of oscillations. Draw and interpret oscillatory graphs. Learn the concepts of phase and phase constant. Understand

More information

Stern-Gerlach Experiment

Stern-Gerlach Experiment Stern-Gerlach Experient HOE: The Physics of Bruce Harvey This is the experient that is said to prove that the electron has an intrinsic agnetic oent. Hydrogen like atos are projected in a bea through a

More information

Torsion Experiment. Encoder #3 ( 3 ) Third encoder/disk for Model 205a only. Figure 1: ECP Torsion Experiment

Torsion Experiment. Encoder #3 ( 3 ) Third encoder/disk for Model 205a only. Figure 1: ECP Torsion Experiment Torsion Experient Introduction For the Torsion lab, there are two required experients to perfor and one extra credit assignent at the end. In experient 1, the syste paraeters need to be identified so that

More information

In this chapter we will start the discussion on wave phenomena. We will study the following topics:

In this chapter we will start the discussion on wave phenomena. We will study the following topics: Chapter 16 Waves I In this chapter we will start the discussion on wave phenoena. We will study the following topics: Types of waves Aplitude, phase, frequency, period, propagation speed of a wave Mechanical

More information

SRI LANKAN PHYSICS OLYMPIAD MULTIPLE CHOICE TEST 30 QUESTIONS ONE HOUR AND 15 MINUTES

SRI LANKAN PHYSICS OLYMPIAD MULTIPLE CHOICE TEST 30 QUESTIONS ONE HOUR AND 15 MINUTES SRI LANKAN PHYSICS OLYMPIAD - 5 MULTIPLE CHOICE TEST QUESTIONS ONE HOUR AND 5 MINUTES INSTRUCTIONS This test contains ultiple choice questions. Your answer to each question ust be arked on the answer sheet

More information

OSCILLATIONS AND WAVES

OSCILLATIONS AND WAVES OSCILLATIONS AND WAVES OSCILLATION IS AN EXAMPLE OF PERIODIC MOTION No stories this tie, we are going to get straight to the topic. We say that an event is Periodic in nature when it repeats itself in

More information

Chapter 1: Basics of Vibrations for Simple Mechanical Systems

Chapter 1: Basics of Vibrations for Simple Mechanical Systems Chapter 1: Basics of Vibrations for Siple Mechanical Systes Introduction: The fundaentals of Sound and Vibrations are part of the broader field of echanics, with strong connections to classical echanics,

More information

NB1140: Physics 1A - Classical mechanics and Thermodynamics Problem set 2 - Forces and energy Week 2: November 2016

NB1140: Physics 1A - Classical mechanics and Thermodynamics Problem set 2 - Forces and energy Week 2: November 2016 NB1140: Physics 1A - Classical echanics and Therodynaics Proble set 2 - Forces and energy Week 2: 21-25 Noveber 2016 Proble 1. Why force is transitted uniforly through a assless string, a assless spring,

More information

2009 Academic Challenge

2009 Academic Challenge 009 Acadeic Challenge PHYSICS TEST - REGIONAL This Test Consists of 5 Questions Physics Test Production Tea Len Stor, Eastern Illinois University Author/Tea Leader Doug Brandt, Eastern Illinois University

More information

Now multiply the left-hand-side by ω and the right-hand side by dδ/dt (recall ω= dδ/dt) to get:

Now multiply the left-hand-side by ω and the right-hand side by dδ/dt (recall ω= dδ/dt) to get: Equal Area Criterion.0 Developent of equal area criterion As in previous notes, all powers are in per-unit. I want to show you the equal area criterion a little differently than the book does it. Let s

More information

This is a repository copy of Analytical optimisation of electromagnetic design of a linear (tubular) switched reluctance motor.

This is a repository copy of Analytical optimisation of electromagnetic design of a linear (tubular) switched reluctance motor. This is a repository copy of Analytical optiisation of electroagnetic design of a linear (tubular) switched reluctance otor. White Rose Research Online URL for this paper: http://eprints.whiterose.ac.uk/907/

More information

Pearson Education Limited Edinburgh Gate Harlow Essex CM20 2JE England and Associated Companies throughout the world

Pearson Education Limited Edinburgh Gate Harlow Essex CM20 2JE England and Associated Companies throughout the world Pearson Education Liited Edinburgh Gate Harlow Esse CM0 JE England and Associated Copanies throughout the world Visit us on the World Wide Web at: www.pearsoned.co.uk Pearson Education Liited 04 All rights

More information

Axis. Axis. Axis. Solid cylinder (or disk) about. Hoop about. Annular cylinder (or ring) about central axis. central axis.

Axis. Axis. Axis. Solid cylinder (or disk) about. Hoop about. Annular cylinder (or ring) about central axis. central axis. Instructor(s): Acosta, inzler PHYSICS DEPATMENT PHY 048, Spring 04 Final Exa March 4, 04 Nae (print, last first): Signature: On y honor, I have neither given nor received unauthorized aid on this exaination.

More information

Question 1. [14 Marks]

Question 1. [14 Marks] 6 Question 1. [14 Marks] R r T! A string is attached to the dru (radius r) of a spool (radius R) as shown in side and end views here. (A spool is device for storing string, thread etc.) A tension T is

More information

Question number 1 to 8 carries 2 marks each, 9 to 16 carries 4 marks each and 17 to 18 carries 6 marks each.

Question number 1 to 8 carries 2 marks each, 9 to 16 carries 4 marks each and 17 to 18 carries 6 marks each. IIT-JEE5-PH-1 FIITJEE Solutions to IITJEE 5 Mains Paper Tie: hours Physics Note: Question nuber 1 to 8 carries arks each, 9 to 16 carries 4 arks each and 17 to 18 carries 6 arks each. Q1. whistling train

More information

Periodic Motion is everywhere

Periodic Motion is everywhere Lecture 19 Goals: Chapter 14 Interrelate the physics and atheatics of oscillations. Draw and interpret oscillatory graphs. Learn the concepts of phase and phase constant. Understand and use energy conservation

More information

Mutual capacitor and its applications

Mutual capacitor and its applications Mutual capacitor and its applications Chun Li, Jason Li, Jieing Li CALSON Technologies, Toronto, Canada E-ail: calandli@yahoo.ca Published in The Journal of Engineering; Received on 27th October 2013;

More information

PH 221-1D Spring Oscillations. Lectures Chapter 15 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition)

PH 221-1D Spring Oscillations. Lectures Chapter 15 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) PH 1-1D Spring 013 Oscillations Lectures 35-37 Chapter 15 (Halliday/Resnick/Walker, Fundaentals of Physics 9 th edition) 1 Chapter 15 Oscillations In this chapter we will cover the following topics: Displaceent,

More information

VIBRATING SYSTEMS. example. Springs obey Hooke s Law. Terminology. L 21 Vibration and Waves [ 2 ]

VIBRATING SYSTEMS. example. Springs obey Hooke s Law. Terminology. L 21 Vibration and Waves [ 2 ] L 1 Vibration and Waves [ ] Vibrations (oscillations) resonance pendulu springs haronic otion Waves echanical waves sound waves usical instruents VIBRATING SYSTEMS Mass and spring on air trac Mass hanging

More information

1 k. 1 m. m A. AP Physics Multiple Choice Practice Work-Energy

1 k. 1 m. m A. AP Physics Multiple Choice Practice Work-Energy AP Physics Multiple Choice Practice Wor-Energy 1. A ass attached to a horizontal assless spring with spring constant, is set into siple haronic otion. Its axiu displaceent fro its equilibriu position is

More information

Physics 2107 Oscillations using Springs Experiment 2

Physics 2107 Oscillations using Springs Experiment 2 PY07 Oscillations using Springs Experient Physics 07 Oscillations using Springs Experient Prelab Read the following bacground/setup and ensure you are failiar with the concepts and theory required for

More information

13 Harmonic oscillator revisited: Dirac s approach and introduction to Second Quantization

13 Harmonic oscillator revisited: Dirac s approach and introduction to Second Quantization 3 Haronic oscillator revisited: Dirac s approach and introduction to Second Quantization. Dirac cae up with a ore elegant way to solve the haronic oscillator proble. We will now study this approach. The

More information

Simple Harmonic Motion

Simple Harmonic Motion Siple Haronic Motion Physics Enhanceent Prograe for Gifted Students The Hong Kong Acadey for Gifted Education and Departent of Physics, HKBU Departent of Physics Siple haronic otion In echanical physics,

More information

Research and Experiments on Electromagnetic Field Induced by Two. Coaxial Solenoid Coils of Axially Mag-lev Driving Needle

Research and Experiments on Electromagnetic Field Induced by Two. Coaxial Solenoid Coils of Axially Mag-lev Driving Needle 3rd International Conference on Mechatronics and Inforation Technology (ICMIT 16) Research and Experients on Electroagnetic Field Induced by Two Coaxial Solenoid Coils of Axially Mag-lev Driving Needle

More information

2.141 Modeling and Simulation of Dynamic Systems Assignment #2

2.141 Modeling and Simulation of Dynamic Systems Assignment #2 2.141 Modeling and Siulation of Dynaic Systes Assignent #2 Out: Wednesday Septeber 20, 2006 Due: Wednesday October 4, 2006 Proble 1 The sketch shows a highly siplified diagra of a dry-dock used in ship

More information

PH 222-2C Fall Electromagnetic Oscillations and Alternating Current. Lectures 18-19

PH 222-2C Fall Electromagnetic Oscillations and Alternating Current. Lectures 18-19 H - Fall 0 Electroagnetic Oscillations and Alternating urrent ectures 8-9 hapter 3 (Halliday/esnick/Walker, Fundaentals of hysics 8 th edition) hapter 3 Electroagnetic Oscillations and Alternating urrent

More information

Newton's Laws. Lecture 2 Key Concepts. Newtonian mechanics and relation to Kepler's laws The Virial Theorem Tidal forces Collision physics

Newton's Laws. Lecture 2 Key Concepts. Newtonian mechanics and relation to Kepler's laws The Virial Theorem Tidal forces Collision physics Lecture 2 Key Concepts Newtonian echanics and relation to Kepler's laws The Virial Theore Tidal forces Collision physics Newton's Laws 1) An object at rest will reain at rest and an object in otion will

More information

CHECKLIST. r r. Newton s Second Law. natural frequency ω o (rad.s -1 ) (Eq ) a03/p1/waves/waves doc 9:19 AM 29/03/05 1

CHECKLIST. r r. Newton s Second Law. natural frequency ω o (rad.s -1 ) (Eq ) a03/p1/waves/waves doc 9:19 AM 29/03/05 1 PHYS12 Physics 1 FUNDAMENTALS Module 3 OSCILLATIONS & WAVES Text Physics by Hecht Chapter 1 OSCILLATIONS Sections: 1.5 1.6 Exaples: 1.6 1.7 1.8 1.9 CHECKLIST Haronic otion, periodic otion, siple haronic

More information

CHAPTER 1: INTRODUCTION

CHAPTER 1: INTRODUCTION CHAPTER 1: INTRODUCTION 1.1 SCOPE AND CONTENT Counications and sensing systes are ubiquitous. They are found in ilitary, industrial, edical, consuer, and scientific applications eploying radio frequency,

More information

Chapter 11 Simple Harmonic Motion

Chapter 11 Simple Harmonic Motion Chapter 11 Siple Haronic Motion "We are to adit no ore causes of natural things than such as are both true and sufficient to explain their appearances." Isaac Newton 11.1 Introduction to Periodic Motion

More information

8.1 Force Laws Hooke s Law

8.1 Force Laws Hooke s Law 8.1 Force Laws There are forces that don't change appreciably fro one instant to another, which we refer to as constant in tie, and forces that don't change appreciably fro one point to another, which

More information

OBJECTIVES INTRODUCTION

OBJECTIVES INTRODUCTION M7 Chapter 3 Section 1 OBJECTIVES Suarize data using easures of central tendency, such as the ean, edian, ode, and idrange. Describe data using the easures of variation, such as the range, variance, and

More information

22 - ELECTRON AND PHOTONS Page 1 ( Answers at the end of all questions )

22 - ELECTRON AND PHOTONS Page 1 ( Answers at the end of all questions ) 22 - ELECTRON AND PHOTONS Page 1 1 ) A photocell is illuinated by a sall source placed 1 away. When the sae source of light is placed 1 / 2 away, the nuber of electrons eitted by photocathode would ( a

More information

Simple Harmonic Motion

Simple Harmonic Motion Reading: Chapter 15 Siple Haronic Motion Siple Haronic Motion Frequency f Period T T 1. f Siple haronic otion x ( t) x cos( t ). Aplitude x Phase Angular frequency Since the otion returns to its initial

More information

This exam is formed of three exercises in three pages numbered from 1 to 3 The use of non-programmable calculators is recommended.

This exam is formed of three exercises in three pages numbered from 1 to 3 The use of non-programmable calculators is recommended. 009 وزارة التربية والتعلين العالي الوديرية العاهة للتربية دائرة االهتحانات اهتحانات الشهادة الثانىية العاهة الفرع : علىم الحياة مسابقة في مادة الفيزياء المدة ساعتان االسن: الرقن: الدورة العادية للعام This

More information

27 Oscillations: Introduction, Mass on a Spring

27 Oscillations: Introduction, Mass on a Spring Chapter 7 Oscillations: Introduction, Mass on a Spring 7 Oscillations: Introduction, Mass on a Spring If a siple haronic oscillation proble does not involve the tie, you should probably be using conservation

More information

Monitoring and system identification of suspension bridges: An alternative approach

Monitoring and system identification of suspension bridges: An alternative approach Monitoring and syste identification of suspension bridges: An alternative approach Erdal Şafak Boğaziçi University, Kandilli Observatory and Earthquake Reseach Institute, Istanbul, Turkey Abstract This

More information

TUTORIAL 1 SIMPLE HARMONIC MOTION. Instructor: Kazumi Tolich

TUTORIAL 1 SIMPLE HARMONIC MOTION. Instructor: Kazumi Tolich TUTORIAL 1 SIMPLE HARMONIC MOTION Instructor: Kazui Tolich About tutorials 2 Tutorials are conceptual exercises that should be worked on in groups. Each slide will consist of a series of questions that

More information

Pearson Physics Level 20 Unit IV Oscillatory Motion and Mechanical Waves: Unit IV Review Solutions

Pearson Physics Level 20 Unit IV Oscillatory Motion and Mechanical Waves: Unit IV Review Solutions Pearson Physics Level 0 Unit IV Oscillatory Motion and Mechanical Waves: Unit IV Review Solutions Student Book pages 440 443 Vocabulary. aplitude: axiu displaceent of an oscillation antinodes: points of

More information

At the end of this lesson, the students should be able to understand

At the end of this lesson, the students should be able to understand Instructional Objectives At the end of this lesson, the students should be able to understand Power screw echanis. The thread fors used in power screws. Torque required to raise and lower a load in a power

More information

CHAPTER 15: Vibratory Motion

CHAPTER 15: Vibratory Motion CHAPTER 15: Vibratory Motion courtesy of Richard White courtesy of Richard White 2.) 1.) Two glaring observations can be ade fro the graphic on the previous slide: 1.) The PROJECTION of a point on a circle

More information

2. Electric Current. E.M.F. of a cell is defined as the maximum potential difference between the two electrodes of the

2. Electric Current. E.M.F. of a cell is defined as the maximum potential difference between the two electrodes of the 2. Electric Current The net flow of charges through a etallic wire constitutes an electric current. Do you know who carries current? Current carriers In solid - the electrons in outerost orbit carries

More information

Tutorial Exercises: Incorporating constraints

Tutorial Exercises: Incorporating constraints Tutorial Exercises: Incorporating constraints 1. A siple pendulu of length l ass is suspended fro a pivot of ass M that is free to slide on a frictionless wire frae in the shape of a parabola y = ax. The

More information

Rationality Problems of the Principles of Equivalence and General Relativity

Rationality Problems of the Principles of Equivalence and General Relativity Rationality Probles of the Principles of Equivalence and General Relativity Mei Xiaochun (Departent of Physics, Fuzhou University, E-ail: xc1@163.co Tel:86-591-8761414) (N.7-B, South Building, Zhongfu

More information

5/09/06 PHYSICS 213 Exam #1 NAME FEYNMAN Please write down your name also on the back side of the last page

5/09/06 PHYSICS 213 Exam #1 NAME FEYNMAN Please write down your name also on the back side of the last page 5/09/06 PHYSICS 13 Exa #1 NAME FEYNMAN Please write down your nae also on the back side of the last page 1 he figure shows a horizontal planks of length =50 c, and ass M= 1 Kg, pivoted at one end. he planks

More information

Chapter 10 Objectives

Chapter 10 Objectives Chapter 10 Engr8 Circuit Analysis Dr Curtis Nelson Chapter 10 Objectives Understand the following AC power concepts: Instantaneous power; Average power; Root Mean Squared (RMS) value; Reactive power; Coplex

More information

Important Formulae & Basic concepts. Unit 3: CHAPTER 4 - MAGNETIC EFFECTS OF CURRENT AND MAGNETISM CHAPTER 5 MAGNETISM AND MATTER

Important Formulae & Basic concepts. Unit 3: CHAPTER 4 - MAGNETIC EFFECTS OF CURRENT AND MAGNETISM CHAPTER 5 MAGNETISM AND MATTER Iportant Forulae & Basic concepts Unit 3: CHAPTER 4 - MAGNETIC EFFECTS OF CURRENT AND MAGNETISM CHAPTER 5 MAGNETISM AND MATTER S. No. Forula Description 1. Magnetic field induction at a point due to current

More information

Actuators & Mechanisms Actuator sizing

Actuators & Mechanisms Actuator sizing Course Code: MDP 454, Course Nae:, Second Seester 2014 Actuators & Mechaniss Actuator sizing Contents - Modelling of Mechanical Syste - Mechaniss and Drives The study of Mechatronics systes can be divided

More information

Physics 4A Solutions to Chapter 15 Homework

Physics 4A Solutions to Chapter 15 Homework Physics 4A Solutions to Chapter 15 Hoework Chapter 15 Questions:, 8, 1 Exercises & Probles 6, 5, 31, 41, 59, 7, 73, 88, 90 Answers to Questions: Q 15- (a) toward -x (b) toward +x (c) between -x and 0 (d)

More information

Particle Kinetics Homework

Particle Kinetics Homework Chapter 4: article Kinetics Hoework Chapter 4 article Kinetics Hoework Freefor c 2018 4-1 Chapter 4: article Kinetics Hoework 4-2 Freefor c 2018 Chapter 4: article Kinetics Hoework Hoework H.4. Given:

More information

L 2. AP Physics Free Response Practice Oscillations ANSWERS 1975B7. (a) F T2. (b) F NET(Y) = 0

L 2. AP Physics Free Response Practice Oscillations ANSWERS 1975B7. (a) F T2. (b) F NET(Y) = 0 AP Physics Free Response Practice Oscillations ANSWERS 1975B7. (a) 60 F 1 F g (b) F NE(Y) = 0 F1 F1 = g / cos(60) = g (c) When the string is cut it swings fro top to botto, siilar to the diagra for 1974B1

More information

TAP 413-2: Measuring the charge to mass ratio for an electron

TAP 413-2: Measuring the charge to mass ratio for an electron TAP 413-: Measuring the charge to ass ratio for an electron Using circular otion Using a agnetic field to drive an electron round in a circle can give inforation about the acceleration. The agnetic force

More information

PY241 Solutions Set 9 (Dated: November 7, 2002)

PY241 Solutions Set 9 (Dated: November 7, 2002) PY241 Solutions Set 9 (Dated: Noveber 7, 2002) 9-9 At what displaceent of an object undergoing siple haronic otion is the agnitude greatest for the... (a) velocity? The velocity is greatest at x = 0, the

More information

which proves the motion is simple harmonic. Now A = a 2 + b 2 = =

which proves the motion is simple harmonic. Now A = a 2 + b 2 = = Worked out Exaples. The potential energy function for the force between two atos in a diatoic olecules can be expressed as follows: a U(x) = b x / x6 where a and b are positive constants and x is the distance

More information

Simple Harmonic Motion of Spring

Simple Harmonic Motion of Spring Nae P Physics Date iple Haronic Motion and prings Hooean pring W x U ( x iple Haronic Motion of pring. What are the two criteria for siple haronic otion? - Only restoring forces cause siple haronic otion.

More information

16 - MAGNETIC EFFECTS OF CURRENTS Page 1 ( Answers at the end of all questions )

16 - MAGNETIC EFFECTS OF CURRENTS Page 1 ( Answers at the end of all questions ) 16 - MAGNETIC EFFECTS OF CURRENTS Page 1 1 ) One conducting U tue can slide inside another as shown in the figure, aintaining electrical contacts etween the tues. The agnetic field B is perpendicular to

More information

Systems of Masses. 1. Ignoring friction, calculate the acceleration of the system below and the tension in the rope. and (4.0)(9.80) 39.

Systems of Masses. 1. Ignoring friction, calculate the acceleration of the system below and the tension in the rope. and (4.0)(9.80) 39. Systes of Masses. Ignoring friction, calculate the acceleration of the syste below and the tension in the rope. Drawing individual free body diagras we get 4.0kg 7.0kg g 9.80 / s a?? g and g (4.0)(9.80)

More information

CHAPTER 21 MAGNETIC FORCES AND MAGNETIC FIELDS

CHAPTER 21 MAGNETIC FORCES AND MAGNETIC FIELDS CHAPTER 21 MAGNETIC FORCES AND MAGNETIC FIELDS PROBLEMS 5. SSM REASONING According to Equation 21.1, the agnitude of the agnetic force on a oving charge is F q 0 vb sinθ. Since the agnetic field points

More information

9. h = R. 10. h = 3 R

9. h = R. 10. h = 3 R Version PREVIEW Torque Chap. 8 sizeore (13756) 1 This print-out should have 3 questions. ultiple-choice questions ay continue on the next colun or page find all choices before answering. Note in the dropped

More information

UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics

UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics UNIVERSITY OF SASKATCHEWAN Departent of Physics and Engineering Physics Physics 115.3 MIDTERM TEST October 22, 2008 Tie: 90 inutes NAME: (Last) Please Print (Given) STUDENT NO.: LECTURE SECTION (please

More information

26 Impulse and Momentum

26 Impulse and Momentum 6 Ipulse and Moentu First, a Few More Words on Work and Energy, for Coparison Purposes Iagine a gigantic air hockey table with a whole bunch of pucks of various asses, none of which experiences any friction

More information

Four-vector, Dirac spinor representation and Lorentz Transformations

Four-vector, Dirac spinor representation and Lorentz Transformations Available online at www.pelagiaresearchlibrary.co Advances in Applied Science Research, 2012, 3 (2):749-756 Four-vector, Dirac spinor representation and Lorentz Transforations S. B. Khasare 1, J. N. Rateke

More information

AIPMT / NEET (Physics, Chemistry and Biology) Code A/P/W. Time: 3 hrs Total Marks: 720

AIPMT / NEET (Physics, Chemistry and Biology) Code A/P/W. Time: 3 hrs Total Marks: 720 AIPMT / NEET - 06 (Physics, Cheistry and Biology) Code A/P/W Tie: hrs Total Marks: 70 General Instructions:. The Answer sheet is inside this Text booklet. When you are directed to open the text booklet,

More information

Experiment 2: Hooke s Law

Experiment 2: Hooke s Law COMSATS Institute of Inforation Technology, Islaabad Capus PHYS-108 Experient 2: Hooke s Law Hooke s Law is a physical principle that states that a spring stretched (extended) or copressed by soe distance

More information

Definition of Work, The basics

Definition of Work, The basics Physics 07 Lecture 16 Lecture 16 Chapter 11 (Work) v Eploy conservative and non-conservative forces v Relate force to potential energy v Use the concept of power (i.e., energy per tie) Chapter 1 v Define

More information

Ocean 420 Physical Processes in the Ocean Project 1: Hydrostatic Balance, Advection and Diffusion Answers

Ocean 420 Physical Processes in the Ocean Project 1: Hydrostatic Balance, Advection and Diffusion Answers Ocean 40 Physical Processes in the Ocean Project 1: Hydrostatic Balance, Advection and Diffusion Answers 1. Hydrostatic Balance a) Set all of the levels on one of the coluns to the lowest possible density.

More information

Physics 120 Final Examination

Physics 120 Final Examination Physics 120 Final Exaination 12 August, 1998 Nae Tie: 3 hours Signature Calculator and one forula sheet allowed Student nuber Show coplete solutions to questions 3 to 8. This exaination has 8 questions.

More information

Electrical Engineering 3BB3: Cellular Bioelectricity (2008) Solutions to Midterm Quiz #1

Electrical Engineering 3BB3: Cellular Bioelectricity (2008) Solutions to Midterm Quiz #1 Electrical Engineering 3BB3: Cellular Bioelectricity (2008) Solutions to Midter Quiz #1 1. In typical excitable cells there will be a net influx of K + through potassiu ion channels if: a. V Vrest >, b.

More information