JEE Mains · Physics · STD 12 -6. Electromagnetic induction
The current in a coil of self inductance \(2.0 \,H\) is increasing according to \(I =2 \sin \left( t ^{2}\right) A\). The amount of energy spent during the period when current changes from \(0\) to \(2\, A\) is......\(J.\)
- A \(4\)
- B \(8\)
- C \(40\)
- D \(6\)
Answer & Solution
Correct Answer
(A) \(4\)
Step-by-step Solution
Detailed explanation
\(I =2 \sin \left( t ^{2}\right) \Rightarrow dI =4 t \sin \left( t ^{2}\right) dt\) If \(I =0 \Rightarrow t =0\) and \(I=2 \Rightarrow 2=2 \sin t^{2}\) \(\Rightarrow t =\sqrt{\frac{\pi}{2}}\) \(E =\int LI dI\)…
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