Find the reactance of a 5.0 microFarad capacitor at a frequency of 7.0 kilohertz

Answer 1

To find the reactance of a capacitor at a certain frequency, you can use the formula:

Xc = 1 / (2 * π * f * C)

where:
Xc = capacitive reactance (ohms)
f = frequency (Hertz)
C = capacitance (Farads)

Given that C = 5.0 microFarads = 5.0 * 10^-6 Farads and f = 7.0 kilohertz = 7.0 * 10^3 Hertz, plug these values into the formula:

Xc = 1 / (2 * π * 7.0 * 10^3 * 5.0 * 10^-6)
Xc = 1 / (2 * π * 35 * 10^-3)
Xc = 1 / (0.22)
Xc = 4.55 ohms

Therefore, the reactance of a 5.0 microFarad capacitor at a frequency of 7.0 kilohertz is 4.55 ohms.