Q. The dimensions of coefficient of self inductance are
A) $\left\lbrack {ML}^{2}T^{- 2}A^{- 2} \right\rbrack$
B) $\left\lbrack {ML}^{2}T^{- 2}A^{- 1} \right\rbrack$
C) $\left\lbrack MLT^{- 2}A^{- 2} \right\rbrack\$
D) $\left\lbrack MLT^{- 2}A^{- 1} \right\rbrack\$
Explanation
Energy $U = \frac{1}{2}LI^{2}$ $\Rightarrow \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ L = \frac{2U}{I^{2}}$ $\therefore\lbrack L\rbrack = \frac{\lbrack U\rbrack}{\lbrack I\rbrack^{2}} = \frac{\left\lbrack ML^{2}T^{- 2} \right\rbrack}{\lbrack A\rbrack^{2}} = \left\lbrack ML^{2}T^{- 2}A^{- 2} \right\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.