Question

An ac series circuit containing a capacitor, inductor, and resistance is found to have a current of amplitude 0.200 A for a source voltage of amplitude 10.0 V at an angular frequency of 200.0 rad/s. The total resistance in the circuit is 13.0 Ω. How is current related to the source voltage?

Name: an ac series circuit containing a capacitor inductor and resistance is found to have a current of amplitude 0200 a for a source voltage of amplitude 100 v at an angular frequency of 2000 rad 18086
Uploaded: 2020-06-16T18:32:46-08:00
Duration: 3 min 32 s
Channel: Yaqub Khan
Description: an ac series circuit containing a capacitor inductor and resistance is found to have a current of amplitude 0200 a for a source voltage of amplitude 100 v at an angular frequency of 2000 rad 18086

          An ac series circuit containing a capacitor, inductor, and resistance is found to have a current of amplitude 0.200 A for a source voltage of amplitude 10.0 V at an angular frequency of 200.0 rad/s. The total resistance in the circuit is 13.0 Ω.
How is current related to the source voltage?

Added by Juan Jos- R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Yaqub Khan

06/16/2020

Step 1

0 V / 0.200 A = 50 Ω. The total resistance is R = 13.0 Ω, so the net reactance must satisfy X = sqrt(Z^2 − R^2) = sqrt(50^2 − 13^2) = sqrt(2500 − 169) = sqrt(2331) ≈ 48.3 Ω. Thus X_L − X_C ≈ ±48.3 Ω (inductive if positive, capacitive if negative). Show more…

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An ac series circuit containing a capacitor, inductor, and resistance is found to have a current of amplitude 0.200 A for a source voltage of amplitude 10.0 V at an angular frequency of 200.0 rad/s. The total resistance in the circuit is 13.0 Ω. How is current related to the source voltage?