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 capacitance of each capacitor?

Answer 1

To achieve a total capacitance of 20μF, each capacitor in the series connection should have a capacitance of 5μF.

Step-by-step explanation:

In a series connection of capacitors, the total capacitance is given by the reciprocal of the sum of the reciprocals of the individual capacitances. In this case, the utility company plans to connect four capacitors of equal size in series to achieve a total capacitance of 20μF. Therefore, the capacitance of each capacitor can be found by dividing the total capacitance by the number of capacitors. C = (Total Capacitance) / (Number of Capacitors) C = 20μF / 4 = 5μF