In an RLC series circuit the capacitive reactance is 43.6 Ω.If the AC frequency doubles,what will be the resulting capacitive reactance?
A) 30.8 Ω
B) 21.8 Ω
C) 61.7 Ω
D) 87.2 Ω
E) Additional information is need to find the value.

Question

In an RLC series circuit the capacitive reactance is 43.6 Ω.If the AC frequency doubles,what will be the resulting capacitive reactance?
A) 30.8 Ω
B) 21.8 Ω
C) 61.7 Ω
D) 87.2 Ω
E) ​Additional information is need to find the value.

Quizplus · Accepted Answer

The capacitive reactance, XC = 1/(2πfC), where f is the frequency and C is the capacitance. 
If the frequency doubles, the new capacitive reactance will be XC' = 1/(2π(2f)C) 
Substituting XC = 43.6 Ω and solving for XC', we get XC' = 21.8 Ω. Therefore, the answer is B.

In an RLC Series Circuit the Capacitive Reactance Is 43