In an RLC circuit (see figure below), the resistance is 300 Ohm, the inductance

Question

In an RLC circuit (see figure below), the resistance is 300 Ohm, the inductance is 112 mH, and the capacitance is 12.2 mu F (12.2 times 10^-6 F). The angular frequency is 377 rad/s and epsilon_max = 18.8 v. (a) What is the impedance? Ohm (b) What is the maximum current? A (c) What is the phase constant phi of the power supply's emf with respect to the current? degree The figure below shows a series RLC circuit with a 21.0-Ohm resistor, a 420.0-mH inductor, and a 19.0-mu F capacitor connected to an AC source with v_max = 60.0V operating at 60.0 Hz. What is the maximum voltage across the following in the circuit?

Explanation / Answer

R = 300 ohms

L = 112 mH , C = 12.2 uF, w = 377 rad/s

(a) Z = (R^2 +(XL - XC)^2)^0.5

XL =wL, XC =1/wc

Z = (300^2 +((377*0.112) -(1/(377*12.2*10^-6)))^2)^0.5

Z = 347 ohms

(b) I = V/Z

I = 18.8/347

I = 0.054 A

(c) cos(phi) = R/Z

phi = arccos(300/347)

phi = 30.2 degrees

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