What current will flow when a 10 µF capacitor is connected to a 120 V, 60 Hz power supply?

To determine the current that will flow when a capacitor is connected to an AC power supply, you can use the formula for capacitive reactance and the resulting current.

Capacitive reactance (Xc) is calculated using the formula:

[ Xc = \frac{1}{2\pi f C} ]

where:

• ( f ) is the frequency in Hz (60 Hz in this case),

• ( C ) is the capacitance in Farads (10 µF = 10 x 10^-6 F).

First, we can calculate the capacitive reactance:

1. Convert the capacitance from microfarads to farads:

( C = 10 \times 10^{-6} F ).

2. Substitute ( f ) and ( C ) into the formula:

[ Xc = \frac{1}{2\pi(60)(10 \times 10^{-6})} ]

Calculating this gives:

[ Xc = \frac{1}{2\pi(60)(10 \times 10^{-6})} \approx 265.26 , \Omega ]

Next, the current ( I ) can be calculated using Oh