Electromagnetism

Step 1: Understanding the relation for mutual inductance.
The mutual inductance is defined as the ratio of the induced emf (electromotive force) in a coil to the rate of change of current in another coil. The general relation is: Where: - is the induced emf, with the dimension of . - is the rate of change of current, which has the dimension .

Step 2: Deriving the dimension of .
Using the formula , we can rearrange to find the dimension of mutual inductance :

Step 3: Conclusion.
Therefore, the correct dimension for mutual inductance is , which corresponds to option (B).

Final Answer: (B)