An ac generator producing 10 V (rms)at 200 rad/s is connected in series with a 50- $\Omega$ resistor, a 400-mH inductor, and a 200- $\Omega$ F capacitor.The rms current is:
A)0.125 A
B)0.135 A
C)0.18 A
D)0.20 A
E)0.40 A

Question

An ac generator producing 10 V (rms)at 200 rad/s is connected in series with a 50- $\Omega$  resistor, a 400-mH inductor, and a 200- $\Omega$ F capacitor.The rms current is:
A)0.125 A
B)0.135 A
C)0.18 A
D)0.20 A
E)0.40 A

Quizplus · Accepted Answer

The impedance of the circuit is calculated using the formula for series RLC circuits: Z = sqrt(R^2 + (X_L - X_C)^2), where X_L = ωL and X_C = 1/(ωC). Substituting the given values, we find the impedance and then use Ohm's law (V = IZ) to find the rms current.

An Ac Generator Producing 10 V (Rms)at 200 Rad/s Is Ω\OmegaΩ

An Ac Generator Producing 10 V (Rms)at 200 Rad/s Is $\Omega$