Consider an AC series circuit containing a coil,capacitor,and resistance.Doubling the frequency will change the capacitive reactance by what factor? A)1/2 B)1 D)2 E)2²

Question

Quizplus · Accepted Answer

The capacitive reactance, XC, is inversely proportional to frequency, f, and is given by XC=1/(2πfC). Doubling the frequency will result in XC=1/(2π(2f)C), which simplifies to XC=1/(4πfC). Thus, the capacitive reactance will be halved, resulting in a factor of 1/2.

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