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19 June, 12:50

A pair of 10μF capacitors in a high-power laser are charged to 1.7 kV.

a. What charge is stored in each capacitor?

b. How much energy is stored in each capacitor?

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Answers (1)
  1. 19 June, 13:19
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    a. 17 μC b. 14.45 J

    Explanation:

    Here is the complete question

    A pair of 10μF capacitors in a high-power laser are charged to 1.7 kV.

    a. What charge is stored in each capacitor?

    b. How much energy is stored in each capacitor?

    a. The charge Q stored in a capacitor is Q = CV where C = capacitance and V = voltage. Here, C = 10μF = 10 * 10⁻⁶ F and V = 1.7 kV = 1.7 * 10³ V.

    So, Q = CV = 10 * 10⁻⁶ * 1.7 * 10³ = 1.7 * 10⁻² C = 17 * 10⁻³ C = 17 μC

    b. The energy stored in a capacitor is given by W = 1/2CV² = 1/2 * 10 * 10⁻⁶ F * (1.7 * 10³ V) ² = 1/2 * 10 * 10⁻⁶ F * 2.89 * 10⁶ V² = 1/2 * 10 * 2.89 * 10⁶ * 10⁻⁶ J = 14.45 J
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