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

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

• A. 0.0452 A
• B. 0.9 A
• C. 1.5 A
• D. 0.18 A

Answer: (A)

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

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