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NEET
Exam
NEET
Subject
Physics
Chapter
Electromagnetic Induction

NEET · Physics · Electromagnetic Induction

A rectangular loop of wire ABCD is kept close to an infinitely long...

A rectangular loop of wire ABCD is kept close to an infinitely long wire carrying a current I(t ) = Io(1– t/ T ) for 0 ≤t ≤ T and I (0) = 0 for t > T (Fig). Find the total charge passing through a given point in the loop, in time T. The resistance of the loop is R.
A rectangular loop of wire ABCD is kept close to an infinitely long wire carrying a current I(t ) = I o (1– t/ T ) for

Options

  1. AμoL1I12πlnL2+xx\frac{{{\mu }_{o}}{{L}_{1}}{{I}_{1}}}{2\pi }ln\frac{{{L}_{2}}+x}{x}
  2. BμoL1I13πlnL1+xx\frac{{{\mu }_{o}}{{L}_{1}}{{I}_{1}}}{3\pi }ln\frac{{{L}_{1}}+x}{x}
  3. CμoL1I12πlnL1+xx\frac{{{\mu }_{o}}{{L}_{1}}{{I}_{1}}}{2\pi }ln\frac{{{L}_{1}}+x}{x}
  4. DμoL1I13πlnL2+xx\frac{{{\mu }_{o}}{{L}_{1}}{{I}_{1}}}{3\pi }ln\frac{{{L}_{2}}+x}{x}

Correct answer

A. μoL1I12πlnL2+xx\frac{{{\mu }_{o}}{{L}_{1}}{{I}_{1}}}{2\pi }ln\frac{{{L}_{2}}+x}{x}

Step-by-step solution

Correct Option is : (A)
μoL1I12πlnL2+xx\frac{{{\mu }_{o}}{{L}_{1}}{{I}_{1}}}{2\pi }ln\frac{{{L}_{2}}+x}{x}
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