A series RC circuit contains two resistors and two capacitors. The resistors are 82 Ω and 47 Ω . The capacitors have capacitive reactances of 80 Ω and 50 Ω . What is the total impedance?
A) 14.56 Ω
B) 68.62 Ω
C) 84.75 Ω
D) 183.14 Ω

Question

Quizplus · Accepted Answer

The total impedance in a series RC circuit is found by first summing the resistances and the capacitive reactances separately and then combining them using the Pythagorean theorem. The total resistance is $82 \Omega + 47 \Omega = 129 \Omega$, and the total capacitive reactance is $80 \Omega + 50 \Omega = 130 \Omega$. The total impedance $Z$ is then $\sqrt{129^2 + 130^2} = \sqrt{16641 + 16900} = \sqrt{33541} \approx 183.14 \Omega$.

A Series RC Circuit Contains Two Resistors and Two Capacitors