1.

    Two coaxial solenoids of radii r1r_1 and r2r_2 (r2>r1r_2 > r_1) have the same length ll and the same number of turns NN. If the current in the outer solenoid changes at a rate of dIdt\frac{dI}{dt}, what is the induced emf in the inner solenoid?

    A

    0

    B

    μ0N2πr12dIdt1l\mu_0 N^2 \pi r_1^2 \frac{dI}{dt} \frac{1}{l}

    C

    μ0N2πr22dIdt1l\mu_0 N^2 \pi r_2^2 \frac{dI}{dt} \frac{1}{l}

    D

    μ0N2π(r22r12)dIdt1l\mu_0 N^2 \pi (r_2^2 - r_1^2) \frac{dI}{dt} \frac{1}{l}

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    4.

    What is the self inductance of an air core solenoid 1 m long, diameter 0.05m, if it has 500 turns? Take π2=10.{\pi ^2} = 10.

    A

    3.15  imes104H3.15\; imes {10^{ - 4}}H

    B

    4.8  imes104H4.8\; imes {10^{ - 4}}H

    C

    5  imes104H5\; imes {10^{ - 4}}H

    D

    6.25  imes104H6.25\; imes {10^{ - 4}}H

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    6.

    A circular coil of radius 5cm5\,\,cm has 500{\rm{500}} turns of a wire. The approximate value of the coefficient of self induction of the coil will be

    A

    25millihenry25\,\,millihenry

    B

    25imes103millihenry25\,\, imes {10^{ - 3}}\,\,millihenry

    C

    50imes103millihenry50\,\, imes {10^{ - 3}}\,\,millihenry

    D

    50imes103millihenry50\,\, imes {10^{ - 3}}\,\,millihenry

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