Answer all parts In the simple AC circuit shown on the right, C = 0.069 F, L = 1

Question

Answer all parts

In the simple AC circuit shown on the right, C = 0.069 F, L = 1.4 H, R = 36 ohm, delta V = delta V_max sin(omega t), where delta V_max = 66 V and omega = 55 rad/s. Express the capacitive reactance, X_c, in terms of C and omega. Calculate the value of X_c, in ohms. Express the inductive reactance, X_L, in terms of L, and omega. Calculate the value of X_L, in ohms Express the impedance, Z, in terms of R, X_L, and X_c. Calculate the value of Z, in ohms. Express the maximum current,/max, in terms of delta V_max and Z. Calculate the value of I_max, in amperes. Calculate the value of rms current, I_rms, in amperes. Express the average power delivered to the circuit, P_avg, in terms of I_rms and R. Calculate the value of P_avg, in watts.

Explanation / Answer

here,

C = 0.069 F

L = 1.4 H

R = 36 ohm

w = 55 rad/s

(a)

capacitive reactance , Xc = 1/(w*C)

(b)

capacitative reactance , Xc = 1/( 55 * 0.069)

Xc = 0.26 ohm

(c)

inductive reactance , Xl = w*L

(d)

inductive reactance , Xl = 1.4 * 55

Xl = 77 ohm

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