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# The dimensions of $\large\frac{B^2C^2R^2}{2\mu_0}$ where $B$ is magnetic field,$R$ is resistance and $C$ is capacitance are

$\begin {array} {1 1} (a)\;[ML^{-1}] & \quad (b)\;[ML^{-1}T^{-1}] \\ (c)\;[ML^{-2}T^{-2}] & \quad (d)\;[ML^{-1}T^{2}] \end {array}$

Can you answer this question?

$\bigg[ \large\frac{B^2}{2\mu_0} \bigg]$ $=\bigg[\large\frac{Energy}{Volume} \bigg]$ = energy density =$[ ML^{-1}T^{-2}]$
$[R^2 C^ 2 ] = [time^2 ] = [T^2 ]$
Ans : (a)
answered Feb 23, 2014