MCQ
The dimensions of self-inductance are:
- A$\left[ ML ^2 T^{-2} A^{-2}\right]$
- B$\left[ ML ^2 T^{-2} A^{-1}\right]$
- C$\left[ MLT ^{-2} A^{-2}\right]$
- D$\left[ ML ^2 T^{-1} A^{-2}\right]$
✓
Answer
A. $\left[ ML ^2 T^{-2} A^{-2}\right]$
Explanation:
$\begin{array}{l}\text { Induced emf }| e |=L \frac{d I}{d t} \\ \therefore[L]=\frac{[e]}{[d I / d t]}=\frac{[W / q]}{[d I / d t]}=\frac{\left[ ML ^2 T^{-2} / AT \right]}{\left[ AT ^{-1}\right]} \\ =\left[ ML ^2 T^{-2} A^{-2}\right] .\end{array}$
Explanation:
$\begin{array}{l}\text { Induced emf }| e |=L \frac{d I}{d t} \\ \therefore[L]=\frac{[e]}{[d I / d t]}=\frac{[W / q]}{[d I / d t]}=\frac{\left[ ML ^2 T^{-2} / AT \right]}{\left[ AT ^{-1}\right]} \\ =\left[ ML ^2 T^{-2} A^{-2}\right] .\end{array}$
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