Answer
$\frac{dV}{dt}=7.5\times 10^5\frac{V}{s}$
Work Step by Step
We know that;
$I=\frac{dq}{dt}$
This formula can be written as:
$I=\frac{d(CV)}{dt}$ (because $q=CV$)
Therefore;
$I=C\frac{dV}{dt}$
Next, we rearrange the formula:
$\frac{dV}{dt}=\frac{C}{I}$
We plug in the known values to obtain:
$\frac{dV}{dt}=\frac{2\times 10^{-6}}{1.5}=7.5\times 10^5\frac{V}{s}$