# Induction_P1. 1. [1 mark]

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1 Induction_P1 1. [1 mark] Two identical circular coils are placed one below the other so that their planes are both horizontal. The top coil is connected to a cell and a switch. The switch is closed and then opened. What is the force between the coils when the switch is closing and when the switch is opening? 1

2 2. [1 mark] The graph shows the variation with time t of the current I in the primary coil of an ideal transformer. The number of turns in the primary coil is 100 and the number of turns in the secondary coil is 200. Which graph shows the variation with time of the current in the secondary coil? 2

3 3. [1 mark] The diagram shows a diode bridge rectification circuit and a load resistor. The input is a sinusoidal signal. Which of the following circuits will produce the most smoothed output signal? 3

4 4. [1 mark] A parallel plate capacitor is connected to a cell of negligible internal resistance. The energy stored in the capacitor is 4 J and the electric field in between the plates is 100 N C 1. The distance between the plates of the capacitor is doubled. What are the energy stored and the electric field strength? 4

5 5. [1 mark] The current I flowing in loop A in a clockwise direction is increasing so as to induce a current both in loops B and C. All three loops are on the same plane. What is the direction of the induced currents in loop B and loop C? 5

6 6. [1 mark] A rectangular flat coil moves at constant speed through a uniform magnetic field. The direction of the field is into the plane of the paper. Which graph shows the variation with time t, of the induced emf ε in the coil as it moves from P to Q? 6

7 7. [1 mark] The graph shows the power dissipated in a resistor of 100 Ω when connected to an alternating current (ac) power supply of root mean square voltage (V rms) 60 V. What are the frequency of the ac power supply and the average power dissipated in the resistor? 7

8 8. [1 mark] Three capacitors, each one with a capacitance C, are connected such that their combined capacitance is 1.5C. How are they connected? 9. [1 mark] The plane of a coil is positioned at right angles to a magnetic field of flux density B. The coil has N turns, each of area A. The coil is rotated through 180 in time t. What is the magnitude of the induced emf? A. B. C. D. 8

9 10. [1 mark] The ratio for a transformer is 2.5. The primary coil of the transformer draws a current of 0.25 A from a 200 V alternating current (ac) supply. The current in the secondary coil is 0.5 A. What is the efficiency of the transformer? A. 20 % B. 50 % C. 80 % D. 100 % 11. [1 mark] An alternating current (ac) generator produces a peak emf E 0 and periodic time T. What are the peak emf and periodic time when the frequency of rotation is doubled? 9

10 12. [1 mark] Six identical capacitors, each of value C, are connected as shown. What is the total capacitance? A. B. C. D. 6C 10

11 13. [1 mark] A capacitor of capacitance C discharges through a resistor of resistance R. The graph shows the variation with time t of the voltage V across the capacitor. The capacitor is changed to one of value 2C and the resistor is changed to one of value 2R. Which graph shows the variation with t of V when the new combination is discharged? 11

12 14. [1 mark] A direct current (dc) of 5A dissipates a power P in a resistor. Which peak value of the alternating current (ac) will dissipate an average power P in the same resistor? A. 5A B. C. D. 15. [1 mark] What are the units of magnetic flux and magnetic field strength? 16. [1 mark] A battery is used to charge a capacitor fully through a resistor of resistance R. The energy supplied by the battery is E b. The energy stored by the capacitor is E c. What is the relationship between E b and E c? A. E b < E c B. E b = E c C. E b > E c D. The relationship depends on R. 12

13 17. [1 mark] A capacitor is charged by a constant current of 2.5 μa for 100 s. As a result the potential difference across the capacitor increases by 5.0 V. What is the capacitance of the capacitor? A. 20 μf B. 50 μf C. 20 mf D. 50 mf 18. [1 mark] A conducting square coil is placed in a region where there is a uniform magnetic field. The magnetic field is directed into the page. There is a clockwise current in the coil. What is a correct force that acts on a side of the coil? 13

14 19. [1 mark] The diagram shows a bar magnet near an aluminium ring. The ring is supported so that it is free to move. The ring is initially at rest. In experiment 1 the magnet is moved towards the ring. In experiment 2 the magnet is moved away from the ring. For each experiment what is the initial direction of motion of the ring? 14

15 20. [1 mark] Three conducting loops, X, Y and Z, are moving with the same speed from a region of zero magnetic field to a region of uniform non-zero magnetic field. Which loop(s) has/have the largest induced electromotive force (emf) at the instant when the loops enter the magnetic field? A. Z only B. Y only C. Y and Z only D. X and Y only 15

16 21. [1 mark] Two capacitors of different capacitance are connected in series to a source of emf of negligible internal resistance. What is correct about the potential difference across each capacitor and the charge on each capacitor? 16

17 22. [1 mark] A fully charged capacitor is connected to a resistor. When the switch is closed the capacitor will discharge through the resistor. Which graphs correctly show how the charge on the capacitor and the current in the circuit vary with time during the discharging of the capacitor? 17

18 23. [1 mark] Which of the following reduces the energy losses in a transformer? A. Using thinner wires for the windings. B. Using a solid core instead of a laminated core. C. Using a core made of steel instead of iron. D. Linking more flux from the primary to the secondary core. 24. [1 mark] The secondary coil of an alternating current (ac) transformer is connected to two diodes as shown. Which graph shows the variation with time of the potential difference V XY between X and Y? 18

19 25. [1 mark] A parallel-plate capacitor is connected to a battery. What happens when a sheet of dielectric material is inserted between the plates without disconnecting the battery? A. The capacitance is unchanged. B. The charge stored decreases. C. The energy stored increases. D. The potential difference between the plates decreases. 26. [1 mark] Three capacitors are arranged as shown. What is the total capacitance of the arrangement? A. 1.0F B. 2.5F C. 3.0F D. 4.0F 19

20 27. [1 mark] A coil of area A is placed in a region of uniform horizontal magnetic field B. At t=0, the coil starts to rotate with constant angular speed ω about a horizontal axis. What is the emf between X and Y? A. zero B. ωab sin ωt C. AB cos ωt D. ωab sin ωt 20

21 28. [1 mark] The diagram shows a conducting rod of length L being moved in a region of uniform magnetic field B. The field is directed at right angles to the plane of the paper. The rod slides on conducting rails at a constant speed v. A resistor of resistance R connects the rails. What is the power required to move the rod? A. zero B. C. D. 29. [1 mark] An alternating current (ac) power supply generates an emf with peak amplitude V 0 and delivers an average power. What is the root mean square (rms) current delivered by the supply? A. B. C. D. 21

22 30. [1 mark] A full-wave diode rectification circuit is modified with the addition of a capacitor in parallel with the load resistor. The circuit is used to rectify a sinusoidal signal of period 6.3ms. Which graph shows how the potential difference V across the load varies with time? 31. [1 mark] A parallel-plate capacitor is connected to a cell of constant emf. The capacitor plates are then moved further apart without disconnecting the cell. What are the changes in the magnitude of the electric field between the plates and in the capacitance of the capacitor? 22

23 32. [1 mark] Three identical capacitors, each of capacitance C, are connected as shown. What is the total capacitance of the combination? A. B. C C. D. 3C 33. [1 mark] Which of the following experiments provides evidence for the existence of matter waves? A. Scattering of alpha particles B. Electron diffraction C. Gamma decay D. Photoelectric effect 23

24 34. [1 mark] An aircraft with a wing span of 50 m flies horizontally at a speed of. The vertical component of the Earth s magnetic field at the plane s position is. What electromotive force (emf) is induced between points A and B on the aircraft? A. 0.1 V B. 1 V C. 10 V D. 100 V 35. [1 mark] An alternating current is sinusoidal and has a maximum value of 1.5 A. What is the approximate value of the root mean squared (rms) current? A. 2.3 A B. 1.5 A C. 1.0 A D A 24

25 36. [1 mark] Faraday s law of electromagnetic induction states that the electromotive force (emf) induced in a conductor is proportional to A. the change of magnetic flux density. B. the change of magnetic flux linkage. C. the rate of change of magnetic flux density. D. the rate of change of magnetic flux linkage. 37. [1 mark] The graph below shows the variation with time of an alternating current in a resistor of resistance 2.0 Ω. What is the average power dissipated in the resistor? A W B. 8.0 W C. 16 W D. 32 W 25

26 38. [1 mark] A magnet oscillates above a solenoid as shown. The magnet is displaced vertically and released from its highest position at time t=0. Which graph shows the variation with time t of the current I in the resistor? 26

27 39. [1 mark] Two identical resistors R are connected in series to an alternating current (ac) power supply. The power supply has a root mean squared (rms) voltage of V and an rms current of I. What is the maximum power developed in one of the resistors in the circuit? A. VI B. VI C. 2 VI D. 40. [1 mark] A flat coil with N turns has a cross-sectional area A. The coil has a flux density of B in a direction of 90º to the plane of the coil. What is the magnetic flux linkage? A. 0 B. BA C. NB D. NBA 27

28 41. [1 mark] The graph shows the variation with time of a magnetic flux passing through a loop of wire. What is the magnitude of the emf induced in the coil? A. The area between the graph and the time axis B. The area between the graph and the magnetic flux axis C. The gradient of the graph D. The inverse of the gradient of the graph 28

29 42. [1 mark] The graph shows the variation with time t of the power P produced in a coil that is rotating in a region of uniform magnetic field. Which of the following describes the average power produced and the period of rotation of the coil? 29

30 43. [1 mark] A bar magnet is close to a coil. No other magnetic fields are present. An ammeter is connected to the coil. The magnet and the coil are moved in the following ways. I. The magnet and the coil both move to the right with the same speed. II. The magnet is stationary and the coil moves to the left. III. The coil is stationary and the magnet moves to the right. In which of the following will the ammeter indicate a current? A. I and II only B. I and III only C. II and III only D. I only 30

31 44. [1 mark] The diagram shows a loop L of wire in a uniform magnetic field B. The loop encloses an area A and the field is directed at an angle θ to the normal to the plane of the loop. The strength of B is increasing at a uniform rate R. What is the emf induced in L? A. B. RA cos θ C. D. RA sin θ 45. [1 mark] The voltage output of a particular power station is stepped up by a factor of As a result the power loss in the transmission cables is reduced by a factor of A B C D

32 46. [1 mark] Capacitance of a capacitor is defined as the A. ability to store electrical charge. B. ratio of charge stored to potential difference. C. ratio of potential difference to charge stored. D. ratio of work done to charged stored. 47. [1 mark] A uniform magnetic field directed into the page occupies a region of width L. A conducting coil of width L moves at constant speed v, from left to right, through the field. From the instant that the coil enters the field until the instant that the coil leaves the field, which of the following best describes the direction of the current induced in the coil? A. Anti-clockwise B. Clockwise C. Anti-clockwise then clockwise D. Clockwise then anti-clockwise 32

33 48. [1 mark] An ideal transformer has a primary coil with N p turns and a secondary coil with N s turns. The electrical power input to the primary is P. Which of the following is the power output from the secondary? A. B. P C. D. 33

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