The output of an ac generator connected to an rlc series combination has a frequency of 12 khz and an amplitude of 28 v. if r = 4.0 ohms, l = 30 μh, and c = 800 nf, find a. the impedance b. the amplitude for current c. the phase difference between the current and the emf of the generator

(a) 14.88 ohm

(b) 1.88 A

(c)  -74.4°

Explanation:

Vo = 28 V

f = 12 kHz = 12000 Hz

R = 4 ohm

L = 30 micro henry = 30 x 10^-6 H

C = 800 nF = 800 x 10^-9 F

(a)

The inductive reactance,

XL = 2 π f L = 2 x 3.14 x 12000 x 30 x 10^-6 = 2.26  ohm

The capacitive reactance

Xc = 16.59 ohm

Let the impedance is Z.

Z = 14.88 ohm

(b)

The formula for the amplitude of current

Io = 1.88 A

(c)

Let the phase difference is Ф

Ф = -74.4°

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