A circular conducting loop of radius r 0 and having resistance per unit length λ as shown…

Physics · JEE Advanced · NTA Exams — Electromagnetic Induction and Alternating Currents

A circular conducting loop of radius r0 and having resistance per unit length λ as shown in the figure is placed in a magnetic field B which is constant in space and time. The ends of the loop are crossed and pulled in opposite directions with a velocity V such that the loop always remains circular and the radius of the loop goes on decreasing, then -
  1. radius of the loop changes with r = r0 – vt/π
  2. EMF induced in the loop as a function of time is
    |e| = 2Bv(r0 – vt/π)
  3. Current induced in the loop is I = \(\frac{B}{2 \hat{\pi}}\)
  4. Current induced in the loop is I = \(\frac{\mathrm{B}}{\hat{\pi}}\)

Answer

(A) radius of the loop changes with r = r 0 – vt/ π, (B) EMF induced in the loop as a function of time is |e| = 2Bv(r 0 – vt/ π ), (D) Current induced in the loop is I = B

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