A generator with an rms voltage of 115 V is connected in series to a 2.80-kresis

Question

Explanation / Answer

Here ,

C = 1.5 uF

R = 2.8 *10^3 Ohm

Vrms = 115 V

a)

let the frequency is f

tan(21) = (1/(2pi * f * C))/R

tan(21) = 1/(2 *pi * f * 1.5 *10^-6)/(2.8 *10^3)

solving for f

f = 98.73 Hz

the frequency is 98.73 Hz

b)

Z = (R - j * 1/(2pi * f * C))

Z = 2.8 *10^3 - j/(2pi * 98.73 *1.5 *10^-6 )

Z = 2.8 *10^3 - j * 1074.9

Z = 3 kOhm

Now, Power consumed in the circuit = (Vrms/Z)^2 * R

Power consumed in the circuit = (115/3000)^2 * 2800

Power consumed in the circuit = 4.12 W

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