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Electromagnetic Induction and Alternating Current 2 Mark Book Back Question Paper With Answer Key

12th Standard

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Physics

Time : 00:30:00 Hrs
Total Marks : 96

    2 Marks

    48 x 2 = 96
  1. A circular antenna of area 3 m2 is installed at a place in Madurai. The plane of the area of antenna is inclined at 47o with the direction of Earth’s magnetic field. If the magnitude of Earth’s field at that place is 4.1 x 10–5 T find the magnetic flux linked with the antenna.

  2. A cylindrical bar magnet is kept along the axis of a circular solenoid. If the magnet is rotated about its axis, find out whether an electric current is induced in the coil.

  3. A closed coil of 40 turns and of area 200 cm2, is rotated in a magnetic field of flux density 2 Wb m–2. It rotates from a position where its plane makes an angle of 30o with the field to a position perpendicular to the field in a time 0.2 s. Find the magnitude of the emf induced in the coil due to its rotation.

  4. A straight conducting wire is dropped horizontally from a certain height with its length along east-west direction. Will an emf be induced in it? Justify your answer.

  5. If the current i flowing in the straight conducting wire as shown in the figure decreases, find out the direction of induced current in the metallic square loop placed near it.

  6. The magnetic flux passes perpendicular to the plane of the circuit and is directed into the paper. If the magnetic flux varies with respect to time as per the following relation \(\Phi_B\) = (2t+ 3t+ 8t + 5)mWb, what is the magnitude of the induced emf in the loop when t = 3 s? Find out the direction of current through the circuit.

  7. A copper rod of length l rotates about one of its ends with an angular velocity ω in a magnetic field B as shown in the figure. The plane of rotation is perpendicular to the field. Find the emf induced between the two ends of the rod.

  8. The self-inductance of an air-core solenoid is 4.8 mH. If its core is replaced by iron core, then its self-inductance becomes 1.8 H. Find out the relative permeability of iron.

  9. The current flowing in the first coil changes from 2 A to 10 A in 0.4 s. Find the mutual inductance between two coils if an emf of 60 mV is induced in the second coil. Also determine the magnitude of induced emf in the second coil if the current in the first coil is changed from 4 A to 16 A in 0.03 s. Consider only the magnitude of induced emf.

  10. A 400 mH coil of negligible resistance is connected to an AC circuit in which an effective current of 6 mA is flowing. Find out the voltage across the coil if the frequency is 1000 Hz.

  11. A capacitor of capacitance \(\\ \frac { { 10 }^{ 2 } }{ \pi } \mu F\\ \) is connected across a 220 V, 50 Hz A.C. mains. Calculate the capacitive reactance, RMS value of current and write down the equations of voltage and current.

  12. What is meant by electromagnetic induction?

  13. State Faraday’s laws of electromagnetic induction.

  14. State Lenz’s law.

  15. State Fleming’s right hand rule.

  16. How is Eddy current produced? How do they flow in a conductor?

  17. Mention the ways of producing induced emf.

  18. What for an inductor is used? Give some examples.

  19. What do you mean by self-induction?

  20. What is meant by mutual induction?

  21. Give the principle of AC generator.

  22. List out the advantages of stationary armature-rotating field system of AC generator.

  23. Define average value of an alternating current.

  24. How will you define RMS value of an alternating current?

  25. What are phasors?

  26. Define electric resonance.

  27. What do you mean by resonant frequency?

  28. How will you define Q-factor?

  29. What is meant by wattles current?

  30. Give any one definition of power factor.

  31. What are LC oscillations?

  32. A square coil of side 30 cm with 500 turns is kept in a uniform magnetic field of 0.4 T. The plane of the coil is inclined at an angle of 30o to the field. Calculate the magnetic flux through the coil.

  33. A straight metal wire crosses a magnetic field of flux 4 mWb in a time 0.4 s. Find the magnitude of the emf induced in the wire.

  34. The magnetic flux passing through a coil perpendicular to its plane is a function of time and is given by\(\Phi\)B=(2t3+4t2+8t+8)Wb. If the resistance of the coil is 5 Ω, determine the induced current through the coil at a time t = 3 second.

  35. A closely wound circular coil of radius 0.02 m is placed perpendicular to the magnetic field. When the magnetic field is changed from 8000 T to 2000 T in 6 s, an emf of 44 V is induced in it. Calculate the number of turns in the coil. (Take π = \(\frac { 22 }{ 7 } \) )

  36. A rectangular coil of area 6 cm2 having 3500 turns is kept in a uniform magnetic field of 0.4 T. Initially, the plane of the coil is perpendicular to the field and is then rotated through an angle of 180o . If the resistance of the coil is 35 Ω, find the amount of charge flowing through the coil.

  37. An induced current of 2.5 mA flows through a single conductor of resistance 100 Ω. Find out the rate at which the magnetic flux is cut by the conductor.

  38. A fan of metal blades of length 0.4 m rotates normal to a magnetic field of 4 x 10 -3  T. If the induced emf between the centre and edge of the blade is 0.02  V, determine the rate of rotation of the blade.

  39. A bicycle wheel with metal spokes of 1 m long rotates in Earth’s magnetic field. The plane of the wheel is perpendicular to the horizontal component of Earth’s field of 4×10−5T. If the emf induced across the spokes is 31.4 mV, calculate the rate of revolution of the wheel.

  40. Determine the self-inductance of 4000 turn air-core solenoid of length 2m and diameter 0.04 m.

  41. A coil of 200 turns carries a current of 4 A. If the magnetic flux through the coil is 6 × 10–5 Wb, find the magnetic energy stored in the medium surrounding the coil.

  42. Calculate the instantaneous value at 60o, average value and RMS value of an alternating current whose peak value is 20 A.

  43. A graph between the magnitude of the magnetic flux linked with a closed loop and time is given in the figure. Arrange the regions of the graph in ascending order of the magnitude of induced emf in the loop.

  44. Using Lenz’s law, predict the direction of induced current in conducting rings 1 and 2 when current in the wire is steadily decreasing.

  45. A flexible metallic loop abcd in the shape of a square is kept in a magnetic field with its plane perpendicular to the field. The magnetic field is directed into the paper normally. Find the direction of the induced current when the square loop is crushed into an irregular shape as shown in the figure.

  46. Predict the polarity of the capacitor in a closed circular loop when two bar magnets are moved as shown in the figure.

  47. In series LC circuit, the voltages across L and C are 180° out of phase. Is it correct? Explain.

  48. When does power factor of a series RLC circuit become maximum?

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