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A wire loop enclosing a semi-circle of radius R is located on the boundary of a uniform magnetic field of induction B. At time t=0, the loop is set into rotation with velocity ω? about its axis 0, coinciding with a line of vector B on the boundary as shown in the figure. The emf induced in the loop is

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Important Questions on Electromagnetic Induction and Alternating Current

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A metal disc of radius a=10 cm rotates with a constant angular speed of ω=200 rad s-1 about its axis. The potential difference between the centre and the rim of the disc under a uniform magnetic field B=5 m T directed perpendicular to the disc, is
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A conducting wire bent in the shape of semicircle has length L and moves in its plane with constant velocity v. A uniform magnetic field B exists in the direction perpendicular to the plane of the wire. The velocity makes an angle 45°to the diameter joining free ends and the emf induced between the ends of the wire is Φ=α(BvL). The value of constant α is
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A long straight solenoid with a cross-sectional radius 'a' and number of turns per unit length 'n' has a current varying with time as IA s-1. The magnitude of the electric field as a function of distance 'r' from the solenoid axis is, 
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An infinitely long cylinder is kept parallel to an uniform magnetic field B directed along the positive z-axis. The direction of induced current as seen from the z-axis will be
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Two straight conducting rails form a right angle as shown below. A conducting bar in contact with the rails starts at the vertex at time t=0 and moves with constant velocity of v=5 m s-1 along them. A magnetic field with B=0.1 T is directed out of the page. The absolute value of the emf around the triangle at the time t=4 s will be?
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A coil of resistance 50 Ω is connected across a 5.0 V battery. If the current in the coil is found to be 50 mA after the time t=0.1 s battery is connected, then the inductance of the coil is
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A sinusoidal voltage with a frequency of 50 Hz is applied to a series LCR circuit with a resistance of 5 Ω, inductance of 20 mH and a capacitance of 500 μF. The magnitude of impedance of the circuit is close to
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An alternating current is given by i=2sinωt+6cosωt. The R.M.S. current in amperes is,