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The mutual inductance between the rectangular loop and the long straight wire as shown in figure is $M$.

• A
  $M =$ Zero
• B
  $M = \frac{{{\mu _0}a}}{{2\pi }}\ln \left( {1 + \frac{c}{b}} \right)$
• C
  $M =\frac{{{\mu _0}b}}{{2\pi }}\ln \left( {\frac{{a + c}}{b}} \right)$
• ✓
  $M =\frac{{{\mu _0}a}}{{2\pi }}\ln \left( {1 + \frac{b}{c}} \right)$