WBJEE · Physics · Electromagnetic Induction
An amount of charge Q passes through a coil of resistance R. If the current in the coil decreases to zero at a uniform rate during time \(T\), then the amount of heat generated in the coil will be,
- A \(\frac{4 Q^2 R}{3 T}\)
- B \(\frac{2 Q^2 R}{3 T}\)
- C \(\frac{Q^2 R}{4 R}\)
- D \(Q^2 R T\)
Answer & Solution
Correct Answer
(A) \(\frac{4 Q^2 R}{3 T}\)
Step-by-step Solution
Detailed explanation
Hint : Given, \(\frac{1}{2} \mathrm{I}_0 T=Q \Rightarrow \mathrm{I}_0=\frac{2 \mathrm{Q}}{\mathrm{T}}\) Equation of \(\mathrm{I}(\mathrm{t}) \Rightarrow \frac{\mathrm{I}}{\mathrm{I}_0}+\frac{\mathrm{t}}{\mathrm{T}}=1\)…
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