Question

W-Cv2 The equation above describes the amount of energy stored in a capacitor in joules, W, in terms C, the capacitance of the capacitor in farads, andV, the voltage in volts. Which of the following correctly gives C in terms of W and V?

Answer 1

$w=\frac{1}{2}cv^2$

for c in terms of w and v, we clear c in the given equation:

$\begin{gathered} 2\times w=\frac{1}{2}cv^2\times2 \\ 2w=cv^2 \\ \frac{2w}{v^2}=\frac{cv^2}{v^2} \\ c=\frac{2w}{v^2} \end{gathered}$