Question

The dimension of mutual inductance is (Denote dimension of current as A)

• A. \( \text{M L}^2 \text{ T}^{-2} \text{ A}^{-2} \)
• B. \( \text{M L}^2 \text{ T}^{-2} \text{ A}^{-2} \)
• C. \( \text{M L}^{-2} \text{ T}^2 \text{ A}^{-2} \)
• D. \( \text{M L}^2 \text{ T}^{-3} \text{ A}^{-1} \)
• E. \( \text{M L}^2 \text{ T}^{-3} \text{ A}^{-3} \)

Hint:

Dimensional analysis is often easiest using energy formulas (\( \frac{1}{2}LI^2 \) or \( \frac{1}{2}CV^2 \)) as energy units are well-known.

Answer 1

The Correct Option is A