Consider an AC series circuit containing a coil,capacitor and resistance.Tripling the frequency will change the capacitive reactance by what factor?
A) 1/3.0
B) 1.00
C) 1.7
D) 3.0
E) 9.0

Question

Consider an AC series circuit containing a coil,capacitor and resistance.Tripling the frequency will change the capacitive reactance by what factor?
A) 1/3.0
B) 1.00
C) 1.7
D) 3.0
E) ​9.0

Quizplus · Accepted Answer

The capacitive reactance, XC, of a capacitor is given by:

XC = 1/(2πfC)

where f is the frequency and C is the capacitance.

When the frequency is tripled, the capacitive reactance becomes:

XC' = 1/(2π(3f)C)

XC' = (1/3) * (1/(2πfC))

So, the capacitive reactance is reduced by a factor of 1/3.0. Therefore, the correct answer is A) 1/3.0.

Consider an AC Series Circuit Containing a Coil,capacitor and Resistance