MHT CET · Physics · Electromagnetic Induction
The magnetic flux (in weber) in a closed circuit of resistance \(20 \Omega\) varies with time \(t\) second according to equation \(\phi=5 t^2-6 t+9\). The magnitude of induced current at \(t=0.2\) second is
- A 0.08 A
- B 1 A
- C 0.2 A
- D 0.4 A
Answer & Solution
Correct Answer
(C) 0.2 A
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \phi=5 \mathrm{t}^2-6 \mathrm{t}+9 \\ & \mathrm{e}=-\frac{\mathrm{d} \phi}{\mathrm{dt}}=-(10 \mathrm{t}-6) \\ & \mathrm{At} \mathrm{t}=0.2 \mathrm{~s},|\mathrm{e}|=4 \mathrm{~V} \\ & \mathrm{i}=\frac{|\mathrm{e}|}{\mathrm{R}}=\frac{4}{20}=0.2 \mathrm{~A}\end{aligned}\)
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