Question

Reactance of a capacitor of capacitance $C \mu F$ for ac frequency $\frac { 400 } { \pi }$ Hz is $25 \Omega$. The value C is

• A. $50 \mu F$
• B. $25 \mu F$
• C. $100 \mu F$
• D. $75 \mu F$

Answer 1

Answer: (A)

$50 \mu F$

Answer 2

$X _ { C } = \frac { 1 } { 2 \pi \nu C } \Rightarrow C = \frac { 1 } { 2 \pi v X _ { C } } = \frac { 1 } { 2 \times \pi \times \frac { 400 } { \pi } \times 25 } = 50 \mu F$