Dimensions of Self Inductance – Rankers Physics

Dimensions: Practice Problem & Solution

Dimensional formula of self inductance is: [1989]
\(MLT^{-2}A^{-2}\)
\(ML^2T^{-1}A^{-2}\)
\(ML^2T^{-2}A^{-2}\)
\(ML^2T^2A^{-1}\)

Solution Explained:

To solve this problem, we apply the core principles of Dimensions. Understanding the underlying formula is key to arriving at the correct answer below:

The energy stored in an inductor is \(U = \frac{1}{2}LI^2\). Therefore, the dimensions of self-inductance \(L\) are \(U/I^2 = [ML^2T^{-2}]/[A^2] = [ML^2T^{-2}A^{-2}]\).

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