Chapter Moving Charges and Magnetism

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1 100 Chapter Moving Charges and Magnetism 1. The power factor of an AC circuit having resistance (R) and inductance (L) connected in series and an angular velocity ω is [2013] 2. [2002] zero RvB vbl/r vbl 3. [2002] 3.66 H 9 H 0.66 H 1 H. 4. In a transformer, number of turns in the primary coil are 140 and that in the secondary coil are 280. If current in primary coil is 4 A, then that in the secondary coil is [2002] 4 A 2 A 6 A 10 A. 5. Two coils are placed close to each other. The mitual inductance of the pair of coils depends upon [2003] the rates at which currents are changing in the two coils relative position and orientation of the two coils the materials of the wires of the coils the currents in the two coils 6. When the current changes from +2 A to -2A in 0.05 second, an e.m.f. of 8 V is induced in a coil. The coefficient of self - induction of the coil is [2003] 0.2 H 0.4 H 0.8 H 0.1 H 7. In an oscillating LC circuit the maximum charge on the capacitor is Q. The charge on the capacitor when the energy is stored equally between the electric and magnetic field is [2003] Q/2 Q/ 3 Q/ 2 Q Ans: 8. The core of any transformer is laminated so as to [2003] reduce the energy loss due to eddy currents make it light weight make it robust and strong increase the secondary voltage 9. Alternating current can not be measured by D.C. ammeter because [2004] Average value of current for complete cycle is zero A.C. Changes direction A.C. can not pass through D.C. Ammeter D.C. Ammeter will get damaged In an LCR series a.c. circuit, the voltage across each of the components, L, C and R is 50V. The voltage across the LC combination will be [2004] 100 V 50 2V 50 V 0 V (zero) 11. A coil having n turns and resistance RΩ is connected with a galvanometer of resistance 4RΩ. This combination is moved in time t seconds from a magnetic field W1 weber to W2 weber. The induced current in the circuit is [2004]

2 In a uniform magnetic field of induction B a wire in the form of a semicircle of radius r rotates about the diameter of the circle with an angular frequency ω. The axis of rotation is perpendicular to the field. If the total resistance of the circuit is R, the mean power generated per period of rotation is [2004] 15. [2005] Blv Blv 2 Blv zero Ans: 13. In a LCR circuit capacitance is changed from C to 2 C. For the resonant frequency to remain unchanged, the inductance should be changed from L to [2004] L/2 2 L 4 L L/4 14. A metal conductor of length 1 m rotates vertically about one of its ends at angular velocity 5 radians per second. If the horizontal component of earth s magnetic field is T, then the e.m.f. developed between the two ends of the conductor is [2004] 5 mv 50 μv 5 μv 50 mv 16. The self inductance of the motor of an electric fan is 10 H. In order to impart maximum power at 50 Hz, it should be connected to a capacitance of [2005] 8μF 4μF 2μF 1μF 17. The phase difference between the alternating current and emf is π/2. Which of the following cannot be the constituent of the circuit? [2005] R, L C alone L alone L, C 18. A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The power factor of the circuit will be [2005] A coil of inductance 300 mh and resistance 2 Ω is connected to a source of voltage 2 V. The current reaches half of its steady state value in [2005] 0.1 s 0.05 s 0.3 s 0.15 s 20. Which of the following units denotes the dimension ML 2 /Q 2, where Q denotes the electric charge? [2006] Wb/m 2 Henry

3 102 H/m 2 Weber (Wb) 21. In a series resonant LCR circuit, the voltage across R is 100 volts and R = 1 kω with C = 2μF. The resonant frequency ω is 200 rad/s. At resonance the voltage across L is [2006] V 40 V 250 V V Ans: 25. [2007] 22. In an AC generator, a coil with N turns, all of the same area A and total resistance R, rotates with frequency ω in a magnetic field B. The maximum value of emf generated in the coil is [2006] N.A.B.R.ω N.A.B N.A.B.R. N.A.B.ω 23. [2006] 190 V 10 V 10 V 190 V 24. Ans: 26. An ideal coil of 10H is connected in series with a resistance of 5Ω and a battery of 5V. 2second after the connection is made, the current flowing in ampere in the circuit is [2007] (1 e 1 ) (1 e) e e Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area A = 10 cm 2 and length = 20 cm. If one of the solenoid has 300 turns and the other 400 turns, their mutual inductance is (μ0 = 4π 10 7 Tm A 1 ) [2008] 2.4π 10 5 H 4.8π 10 4 H 4.8π 10 5 H 2.4π 10 4 H [2006] 1/eA ea 0.1 A 1 A

4 [2010] [2009] Ans: 29. [2010] Ans: 31. In a series LCR circuit R = 200Ω and the voltage and the frequency of the main supply is 220V and 50 Hz respectively. On taking out the capacitance from the circuit the current lags behind the voltage by 30. On taking out the inductor from the circuit the current leads the voltage by 30. The power dissipated in the LCR circuit is [2010] 305 W 210 W Zero W 242 W 32. A boat is moving due east in a region where the earth's magnetic field is NA 1 m 1 due north and horizontal. The boat carries a vertical aerial 2 m long. If the speed of the boat is 1.50 ms 1, the magnitude of the induced emf in the wire of aerial is: [2011] 0.75 mv 0.50 mv 0.15 mv 1 mv Ans: 33. A fully charged capacitor C with initial charge q0 is connected to a coil of self inductance L at t =0. The time at which the energy is stored equally between the electric and the magnetic fields is: [2011]

5 A resistor R and 2 μf capacitor in series is connected through a switch to 200 V direct supply. Across the capacitor is a neon bulb that lights up at 120 V. Calculate the value of R to make the bulb light up 5 s after the switch has been closed. (log = 0.4) [2011] Ω Ω Ω Ω 35. Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time for needed for reducing the voltage of the fully charged series combination by half is [2011] 10 second 5 second 2.5 second 20 second Ans: 36. A horizontal straight wire 20 m long extending from east to west falling with a speed of 5.0 m/s, at right angles to the horizontal component of the earth s magnetic field Wb/m 2. The instantaneous value of the e.m.f. induced in the wire will be [2011] 3 mv 4.5 mv 1.5 mv 6.0 mv 37. A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil it starts oscillating; It is very difficult to stop. But if an aluminium plate is placed near to the coil, it stops. This is due to: [2012] developement of air current when the plate is placed induction of electrical charge on the plate shielding of magnetic lines of force as aluminium is a paramagnetic material. electromagnetic induction in the aluminium plate giving rise to electromagnetic damping. [2013] 39. A circular loop of radius 0.3 cm lies parallel to amuch bigger circular loop of radius 20 cm. The centre of the small loop is on the axis of the bigger loop. The distance between their centres is 15 cm. If a current of 2.0 A flows through the smaller loop, then the flux linked with bigger loop is [2013] weber weber weber weber 40. [2013] At t = ι, q = CV/2 At t = 2 ι, q = CV (1 e 2 )

6 105 At t = 2 ι, q = CV (1 e 1 ) Ans:

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