TS EAMCET · Physics · Electromagnetic Induction
Two circular coils of radii \(r_1\) and \(r_2\left(r_1 \ll r_2\right)\) are placed coaxially with their centers coinciding. The mutual inductance of the arrangement is
- A \(\frac{\mu_0 \pi r_2^2}{2 r_1}\)
- B \(\frac{\mu_0 \pi r_1 r_2}{2\left(r_1+r_2\right)}\)
- C \(\frac{\mu_0 \pi r_1^2}{2 r_2}\)
- D \(\frac{\mu_0 \pi\left(r_1+r_2\right)}{2 r_1 r_2}\)
Answer & Solution
Correct Answer
(C) \(\frac{\mu_0 \pi r_1^2}{2 r_2}\)
Step-by-step Solution
Detailed explanation
Mutual inductance of two concentric circular coils of radii \(r_1\) and \(r_2\left(r_1 \ll r_2\right)=M=\frac{\mu_0 \pi r_1^2}{2 r_2}\)
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