Question

A utility company plans to connect a total of 20μf of capacitance to a 7200v line. To make this connection, four capacitors of equal size will be connected in series. What is the minimum AC voltage rating of each capacitor?

Answer 1

The minimum AC voltage rating of each capacitor is 360,000 volts.

Step-by-step explanation:

To find the minimum AC voltage rating of each capacitor, we need to consider the total capacitance and the voltage of the line. Since the capacitors are connected in series, the total capacitance is equal to the reciprocal of the sum of the reciprocals of each capacitor's capacitance. In this case, the total capacitance is 20µF. By rearranging the formula, we can solve for the minimum AC voltage rating of each capacitor:

Vmin = V x (1/Ctotal)

Substituting the values, we get:

Vmin = 7200V x (1/20µF)

Calculating the above, the minimum AC voltage rating of each capacitor is 360,000 volts.