Question

A 318 μF capacitor is connected across a 230 V, 50 Hz system, the capacitive reactance is

Answer 1

Answer:

The capacitive reactance of the capacitor is 10.0057 Ω

Explanation:

Given that,

The capacitance of capacitor = 318μF

Voltage of the capacitor=230V

Frequency of the capacitor=50Hz

The capacitive reactance of thr capacitor can be found out using relation

$X _{c} = \frac{1}{2\pi \: fC}$

By substituting known values in above relation,we get

$X _{c} = \frac{1}{2\pi \: \times 50 \times 318 \times 10 {}^{ - 6} } \\ = \frac{1}{2 \times \frac{22}{7} \times 50 \times 318 \times 10 {}^{ - 6} } \\ = 10.0057 Ω$

Therefore,the capacitive reactance of the capacitor is 10.0057 Ω

#SPJ3