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The energy stored in a capacitor of capacitance... - WAEC Physics 1995 Question

The energy stored in a capacitor of capacitance 5μF is 40J. Calculate the voltage applied across its terminals?

A
4000V
B
200V
C
16V
D
6V
correct option: a

\(E = \frac{CV^{2}}{2}\)

\(V^{2} = \frac{2E}{C}\)

\(V^{2} = \frac{2\times 40}{5 \times 10^{-6}}\)

\(V^{2} = 16 \times 10^{6}\)

\(V = 4 \times 10^{3} = 4000v\)

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