Use the following figure for the next problem.
An AC power supply, V = 20 V sin where = 200 rad/s is connect to an inductor L = 180 mH and a capacitor C = 25 XL = 36 ohms, XC = 200 ohms, Z = 43.9 ohms
-What is the impedance of the circuit?
A)36 $\Omega$
B)43.9 $\Omega$
C)200 $\Omega$
D)236 $\Omega$
E)None of these is correct.

Question

Use the following figure for the next problem. 
An AC power supply, V = 20 V sin  where  = 200 rad/s is connect to an inductor L = 180 mH and a capacitor C = 25  XL = 36 ohms, XC = 200 ohms, Z = 43.9 ohms
-What is the impedance of the circuit?
A)36 $\Omega$ 
B)43.9 $\Omega$ 
C)200 $\Omega$ 
D)236 $\Omega$ 
E)None of these is correct.

Quizplus · Accepted Answer

The overall impedance of the circuit is given by Z = sqrt((XL - XC)^2 + R^2) where R = 0 (since it is an ideal AC power supply). Plugging in the given values for XL and XC, we get Z = sqrt((36 - 200)^2) = 43.9 ohms.

Use the Following Figure for the Next Problem Ω\OmegaΩ B)439 Ω\OmegaΩ C)200 Ω\OmegaΩ

Use the Following Figure for the Next Problem $\Omega$ B)439 $\Omega$ C)200 $\Omega$