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Electromagnetic Induction Test - 47

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Electromagnetic Induction Test - 47
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  • Question 1
    4 / -1
    A coil of wire having finite inductance and resistance has a conducting ring placed coaxially within it. The coil is connected to a battery at time t = 0, so that a time-dependent current I1 (t) starts flowing through the coil. If I2(t) is the current induced in the ring and B(t) is the magnetic field at the axis of the coil due to I1 (t), then as a function of time (t > 0), the product I2(t) B(t)
    Solution

  • Question 2
    4 / -1
    Two circular coils can be arranged in any of the three situations shown in the figure. Their mutual inductance will be

  • Question 3
    4 / -1
    A metallic square loop ABCD is moving in its own plane with velocity v in a uniform magnetic field perpendicular to its plane as shown in the figure. An electric field is induced

  • Question 4
    4 / -1

    Solution

  • Question 5
    4 / -1
    As shown in the figure, P and Q are two coaxial conducting loops separated by some distance. When the switch S is closed, a clockwise current Ip flows in P (as seen by E) and an induced current IQ1 flows in Q.
    The switch remains closed for a long time. When S is opened, a current IQ2 flows in Q. Then the directions of IQ1 and IQ2 (as seen by E) are

    Solution

  • Question 6
    4 / -1
    A short-circuited coil is placed in a time-varying magnetic field. Electrical power is dissipated due to the current induced in the coil. If the number of turns were to be quadrupled and the wire radius halved, the electrical power dissipated would be
    Solution

  • Question 7
    4 / -1
    A physicist works in a laboratory where the magnetic field is 2T. She wears a necklace enclosing area 0.01 m2 in such a way that the plane of the necklace is normal to the field and is having a resistance R = 0.01 Ω. Because of power failure, the field decays to 1T in time 10–3 seconds. Then what is the total heat produced in her necklace? (T = tesla)
    Solution

  • Question 8
    4 / -1
    A coil of inductance 8.4 mH and resistance 6 Ω is connected to a 12 V battery. The current in the coil is 1.0 A in the time (approx.)
    Solution

  • Question 9
    4 / -1
    As shown in the figure a metal rod makes contact and completes the circuit. The circuit is perpendicular to the magnetic field with B = 0.15 tesla. If the resistance is 3 Ω force needed to move the rod as indicated with a constant speed of 2m / sec is

    Solution

  • Question 10
    4 / -1
    Two identical coaxial circular loops carry current i each circulating in the clockwise direction. If the loops are approaching each other, then
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