question_answer

Which of the following graphs represents the correct variation of capacitive reactance \[{{X}_{C}}\] with frequency v:

A)        

B)

C)        

D)

Correct Answer: C

Solution :

(c) Capacitive reactance,             \[{{X}_{C}}=\frac{1}{\omega C}=\frac{1}{2\pi vC}\Rightarrow {{X}_{C}}\propto \frac{1}{v}\] With increase in frequency, \[{{X}_{C}}\] decreases. Hence, option (c) represents the correct graph.