First slide

AC Circuits

Question

Reactance of a capacitor of capacitance $C μF$ for ac frequency $\frac{400}{π}$ Hz is $25 Ω$ . The value C is

Moderate

A

$50 μF$
B

$25 μF$
C

$100 μF$
D

$75 μF$

Solution

$X_{C} = \frac{1}{2 πνC} \Rightarrow C = \frac{1}{2 {πνX}_{C}} = \frac{1}{2 \times π \times \frac{400}{π} \times 25} = 50 μF$

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