Demo: Solenoid and Magnet. Topics. Chapter 22 Electromagnetic Induction. EMF Induced in a Moving Conductor


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1 Topics Chapter 22 Electromagnetic Induction EMF Induced in a Moving Conductor Magnetic Flux EMF Induced in a Moving Conductor Demo: Solenoid and Magnet v 1
2 EMF Induced in a Moving Conductor q Work done by force EMF L F W FL qvb L W qvbl Work ε Charge v qblv q Force on charge F qvb vbl Motional Emf Induced Voltages and Inductance The two ends of a wire are connected to a galvanometer, forming a complete electric circuit. The wire is then moved through a magnetic field, as shown in the diagram. The galvanometer is being used to measure (A) current (B) potential difference (C) temperature change (D) resistance What is Φ B Φ B is just the amount of magnetic field enclosed by an area. Φ B =BA At t = 0 F o = BA = BLx After Dt F = F o + DF F = BLx + BLDx DF = BLDx DF = BL(vDt) (proof of) B x Dt v Dx ΔΦ BLv Δt ε ΔΦ Δt L 2
3 Magnetic Flux Magnetic Flux F F B B BA cos B A Φ BAcosθ Magnetic flux Weber (Wb) 1 Wb 1 T m 2 Magnetic flux will change if the area of the loop changes: Magnetic flux will change if the angle between the loop and the field changes: 3
4 Induced emf Faraday s Law DF N Dt B Change in Flux Magnetic flux in the loop increases Lenz s Law Number of Turns Time for Change Counterclockwise Magnetic flux in the loop increases Magnetic flux in the loop decreases Clockwise Clockwise 4
5 Magnetic flux in the loop decreases Counterclockwise Induction Stoves A transformer consists of two coils, either interwoven or linked by an iron core. A changing emf in one induces an emf in the other. Primary ΔΦ NP Δt NP NS VS Secondary ΔΦ VS NS Δt ΔΦ V P Δt NP V S NP NS VS N S NP ΔΦ V S Δt NS 5
6 IP NP NS I S VS A 9.6cmdiameter circular loop of wire is in a 1.10T magnetic field. The loop is removed from the field in 0.15 s. What is the average induced emf? Power in primary = Power in secondary A 10.2cmdiameter wire coil is initially oriented so that its plane is perpendicular to a magnetic field of 0.63 T pointing up. During the course of 0.15 s, the field is changed to one of 0.25 T pointing down. What is the average induced emf in the coil? The moving rod is 12.0 cm long and is pulled at a speed of 15.0 cm/s. If the magnetic field is T, calculate (a) the emf developed in the rod. (b) the electric field felt by electrons in the rod. 6
7 The moving rod is 13.2 cm long and generates an emf of 120 mv while moving in a 0.90T magnetic field. (a) What is its speed? A 500turn solenoid, 25 cm long, has a diameter of 2.5 cm. A 10turn coil is wound tightly around the center of the solenoid. If the current in the solenoid increases uniformly from 0 to 5.0 A in 0.60 s, what will be the induced emf in the short coil during this time? (b) What is the electric field in the rod? The rod moves with a speed of 1.6 m/s is 30.0 cm long, and has a resistance of 2.5 W. The magnetic field is 0.35 T, and the resistance of the Ushaped conductor is 25 W at a given instant. Calculate (a) the induced emf, A square loop 24.0 cm on a side has a resistance of 5.20 W. It is initially in a T magnetic field, with its plane perpendicular to B but is removed from the field in 40.0 ms. Calculate the electric energy dissipated in this process. (b) the current in the Ushaped conductor (c) the external force needed to keep the rod s velocity constant at that instant. 7
8 The rectangular loop shown is pushed into the magnetic field which points inward. In what direction is the induced current? A transformer is designed to change 120 V into 10,000 V, and there are 164 turns in the primary coil. How many turns are in the secondary coil? A stepup transformer increases 25 V to 120 V. What is the current in the secondary coil as compared to the primary coil? A transformer has 330 primary turns and 1340 secondary turns. The input voltage is 120 V and the output current is 15.0 A. What are the output voltage and input current? 8
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