Answer :
Final answer:
The reactance of a 20 μF capacitor connected to a 220V, 50 Hz source is calculated using the formula for capacitive reactance, resulting in approximately 159 ohms.
Explanation:
The capacitor reactance (XC) in an AC circuit is given by the formula
XC = 1 / (2πfC)
where 'f' is the frequency of the source and 'C' is the capacitance.
Plug in the values given for a 20 μF capacitor connected to a 220V, 50 Hz source. Calculating this gives:
XC = 1 / (2π(50)(20×10-6))
XC = 1 / (2π(50)(20×10-6))
= 159.155 ohms
Therefore, the capacitor reactance of the circuit is approximately 159 ohms.