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QJEEM24Phccc9: JEE Main 2024 Physics - Class 12 JEEM24Phccc9 Solution: Two conducting circular loops A and B are placed in the same…

Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is:

JEE Main 2024 (Online) 5th April Morning Shift Physics - Electromagnetic Induction Question 10 English

Multiple Choice Options

  • A μo2π⋅b2a\frac{\mu_o}{2 \pi} \cdot \frac{b^2}{a}
  • B μoπa22 b\frac{\mu_{\mathrm{o}} \pi \mathrm{a}^2}{2 \mathrm{~b}}
  • C μ0πb22a\frac{\mu_0 \pi b^2}{2 a}
  • D μ02π⋅a2b\frac{\mu_0}{2 \pi} \cdot \frac{a^2}{b}

Step-by-Step Verified Solution

amp;ϕA/BIB=Mamp;⇒M=μ0IB×πa22b×IBamp;=μ0πa22b\begin{aligned}& \frac{\phi_{A / B}}{I_B}=M \\& \Rightarrow \quad M=\frac{\mu_0 I_B \times \pi a^2}{2 b \times I_B} \\& =\frac{\mu_0 \pi a^2}{2 b}\end{aligned}

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