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JEE Main202226 Jun 2022Evening ShiftPhysicsUnits and DimensionsActual

The dimension of mutual inductance is

Options

  1. AML 2 T - 2 A - 1
  2. BML 2 T - 2 A - 2
  3. CML 2 T - 3 A - 1
  4. DML 2 T - 3 A - 2

Correct answer

B. ML 2 T - 2 A - 2

Step-by-step solution

The formula for mutual inductance is given by, ε = M d I d t   ⇒ M = ε d I d t Dimension of emf or voltage is M   L 2   T - 3   A - 1 , Dimension of current is A , Dimension of time T . Therefore, the dimension of M is M = ML 2 T - 3 A - 1 A T - 1 = ML 2 T - 2 A - 2

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