MHT CET · Physics · Electromagnetic Induction
A coil of \(n\) turns and resistance \(R \Omega\) is connected in series with resistance \(\mathrm{R} / 4\). The combination is moved for time t second through magnetic flux \(\phi_1\) to \(\phi_2\). The induced current in the circuit is
- A \(\frac{2 \mathrm{n}\left(\phi_1-\phi_2\right)}{5 \mathrm{Rt}}\)
- B \(\frac{4 \mathrm{n}\left(\phi_1-\phi_2\right)}{5 \mathrm{Rt}}\)
- C \(\frac{3 n\left(\phi_1-\phi_2\right)}{4 R t}\)
- D \(\frac{5 \mathrm{n}\left(\phi_1-\phi_2\right)}{3 R \mathrm{t}}\)
Answer & Solution
Correct Answer
(B) \(\frac{4 \mathrm{n}\left(\phi_1-\phi_2\right)}{5 \mathrm{Rt}}\)
Step-by-step Solution
Detailed explanation
\(R_{total} = R + R/4 = 5R/4\) \(I = \frac{n(\phi_1 - \phi_2)/t}{R_{total}} = \frac{n(\phi_1 - \phi_2)/t}{5R/4} = \frac{4n(\phi_1 - \phi_2)}{5Rt}\)
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