MHT CET · Physics · Electromagnetic Induction
A coil having ' N ' turns and resistance ' R ' \(\Omega\) is connected to a galvanometer of resistance '6R' \(\Omega\). The magnetic flux linked with this coil changes from \(\phi_1\) weber to \(\phi_2\) weber in time ' \(t\) ' second. The induced current in the circuit is
- A \(\frac{\mathrm{N}\left(\phi_2-\phi_1\right)}{\mathrm{t}}\)
- B \(\frac{\mathrm{N}\left(\phi_2-\phi_1\right)}{7 \mathrm{Rt}}\)
- C \(\frac{\mathrm{N}\left(\phi_2-\phi_1\right)}{\mathrm{Rt}}\)
- D \(\frac{N\left(\phi_2-\phi_1\right)}{6 R t}\)
Answer & Solution
Correct Answer
(B) \(\frac{\mathrm{N}\left(\phi_2-\phi_1\right)}{7 \mathrm{Rt}}\)
Step-by-step Solution
Detailed explanation
Induced EMF: \( \varepsilon = N \frac{\Delta \Phi}{\Delta t} = N \frac{(\phi_2 - \phi_1)}{t} \) Total resistance: \( R_{total} = R + 6R = 7R \)
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