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MHT CET · Physics · Electromagnetic Induction

A coil of ' \(n\) ' turns and resistance \(R \Omega\) is connected in series with a resistance \(\frac{R}{2}\). The combination is moved for time 't' second through magnetic flux \(\Phi_1\) to \(\Phi_2\). The induced current in the circuit is

  1. A \(\frac{\mathrm{n}\left(\Phi_1-\Phi_2\right)}{3 \mathrm{Rt}}\)
  2. B \(\frac{2 \mathrm{n}\left(\Phi_1-\Phi_2\right)}{3 \mathrm{Rt}}\)
  3. C \(\frac{2 \mathrm{n}\left(\Phi_1-\Phi_2\right)}{\mathrm{Rt}}\)
  4. D \(\frac{\mathrm{n}\left(\Phi_1-\Phi_2\right)}{\mathrm{Rt}}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{2 \mathrm{n}\left(\Phi_1-\Phi_2\right)}{3 \mathrm{Rt}}\)

Step-by-step Solution

Detailed explanation

\(R_{total} = R + \frac{R}{2} = \frac{3R}{2}\) \(\varepsilon = n \frac{(\Phi_1 - \Phi_2)}{t}\)