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CUET · PHYSICS · PYQ PAPER 2023

Two concentric circular loops of radius 5 cm and 15 cm are placed co-axially. Find e.m.f induced in the inner loop, if the current through the outer loop is changed at a rate of 10 A/ms. Assume the magnetic field on the inner loop to be uniform.

  1. A \( -5 \times 10^{-6} \text{ V} \)
  2. B \( 5 \times 10^{-6} \text{ V} \)
  3. C \( -3.29 \times 10^{-4} \text{ V} \)
  4. D \( +1.04 \times 10^4 \text{ V} \)
Verified Solution

Answer & Solution

Correct Answer

(C) \( -3.29 \times 10^{-4} \text{ V} \)

Step-by-step Solution

Detailed explanation

\( \mathcal{E} = - \frac{d\Phi}{dt} \) \( \mathcal{E} = - \frac{d}{dt} \left( B A_1 \right) \) \( \mathcal{E} = - \frac{d}{dt} \left( \frac{\mu_0 I_2}{2r_2} \cdot \pi r_1^2 \right) \) \( \mathcal{E} = - \frac{\mu_0 \pi r_1^2}{2r_2} \frac{dI_2}{dt} \)…
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