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. 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