Figure shows a rectangular coil near a long wire. Calculate the mutual inductance of the…

Physics · JEE Advanced · NTA ExamsElectromagnetic Induction and Alternating Currents

Figure shows a rectangular coil near a long wire. Calculate the mutual inductance of the combination is
  1. \(\frac{\mu_{0} \mathrm{a}}{2 \pi} \ln \left(1-\frac{\mathrm{b}}{\mathrm{c}}\right)\)
  2. \(\frac{\mu_{0} \mathrm{a}}{2 \pi} \ell \mathrm{n}\left(1+\frac{\mathrm{b}}{\mathrm{c}}\right)\)
  3. \(\frac{\mu_{0} \mathrm{a}}{\pi} \ell \mathrm{n}\left(1+\frac{\mathrm{b}}{\mathrm{c}}\right)\)
  4. \(\frac{\mu_{0} \mathrm{a}}{\sqrt{2} \pi} \ell \mathrm{n}\left(1+\frac{\mathrm{b}}{\mathrm{c}}\right)\)

Answer

(B) _ 0 a 2 n (1+ b c )

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