A capacitor of 50 μ F is charged to a potential difference of 200 V . What is the energy stored in the capacitor in joules? (Express your answer as an integer value, multiplying by 1 0 − 1 if necessar

Question

A capacitor of 50 μ F is charged to a potential difference of 200 V . What is the energy stored in the capacitor in joules? (Express your answer as an integer value, multiplying by 1 0 − 1 if necessary)

TestHub · Accepted Answer

The energy stored in a capacitor is given by U = 2 1 ​ C V 2 . Given C = 50 μ F = 50 × 1 0 − 6 F . Given V = 200 V . U = 2 1 ​ × ( 50 × 1 0 − 6 F ) × ( 200 V ) 2 = 2 1 ​ × 50 × 1 0 − 6 × 40000 J . U = 25 × 1 0 − 6 × 40000 J = 25 × 4 × 1 0 − 2 J = 100 × 1 0 − 2 J = 1 J .

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