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=(1)/(2)cv^2`

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

`\begin{gathered} 2* w=(1)/(2)cv^2*2 \\ 2w=cv^2 \\ (2w)/(v^2)=(cv^2)/(v^2) \\ c=(2w)/(v^2) \end{gathered}`