A capacitor of capacitance 25µF is connected to an a.c power source of frequency 200/πHz. Calculate the reactance of the capacitor
Answer Details
The reactance of a capacitor can be calculated using the formula X = 1/(2πfC), where X is the reactance, f is the frequency, and C is the capacitance.
Given that the capacitance of the capacitor is 25µF and the frequency of the a.c power source is 200/πHz, we can substitute these values into the formula:
X = 1/(2πfC)
X = 1/(2π*(200/π)*25 x 10^-6)
X = 1/(2*(200)*25 x 10^-6)
X = 1/(10 x 10^-3)
X = 100Ω
Therefore, the reactance of the capacitor is 100Ω.
Answer: 100Ω.