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There are two stationary loops with mut...

There are two stationary loops with mutual inductance `L_(12)`. The current is one of the loops starts to be varied as `I_(1) = alpha t` where `alpha` is a current, `t` is time. Find the time dependence `I_(2) (t)` of the current in the other loop whose inductance is `L_(2)` and resistance `R`.

Answer

Step by step text solution for There are two stationary loops with mutual inductance L_(12). The current is one of the loops starts to be varied as I_(1) = alpha t where alpha is a current, t is time. Find the time dependence I_(2) (t) of the current in the other loop whose inductance is L_(2) and resistance R. by PHYSICS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Knowledge Check

  • In Fig, the mutual inductance of a coil and a very long straight wire is M , coil has resistance R and self-inductance L . The current in the wire varies according to the law I = at , where a is a constant and t is the time, the time dependence of current in the coil is

    A
    `(M)/(aR)`
    B
    `maR e^(-Rt//L)`
    C
    `(M)/(R ) e^(-tR//L)`
    D
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  • In the adjacent figure, the mutual inducatance of the infinite straight wire and the coil is M, while the self inductance of the coil is L. The current in infinite wire is varying according to the realtion l_(1) = alphat , where alpha is a constant and t is the time. The time dependence of current in the coil is

    A
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    B
    `(MalphaL)/(R )e^(-Rt//L)`
    C
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    D
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  • The current in an L - R circuit in a time t = 2L / R reduces to-

    A
    `336.5%` of maximum
    B
    `13.5%` of maximum
    C
    `0.50%` of maximum
    D
    `63.2%` of maximum

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