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A series LRC circuit is connected to a 60Hz AC source with a max voltage of 12V.

ID: 1518327 • Letter: A

Question

A series LRC circuit is connected to a 60Hz AC source with a max voltage of 12V. R= 6 ohms L= 50mH, C=150uF. Find Xl, Xc, and the impedance of this circuit. B) find the Imax, the amplitude of the current for the above circuit. What is the average power delivered to the resistor? A series LRC circuit is connected to a 60Hz AC source with a max voltage of 12V. R= 6 ohms L= 50mH, C=150uF. Find Xl, Xc, and the impedance of this circuit. B) find the Imax, the amplitude of the current for the above circuit. What is the average power delivered to the resistor?

Explanation / Answer

a) The impedance of the circuit is

Z = sqrt{ R2 + ( XC - XL )2 }

where

then

Z = sqrt{ ( 6.00 )2 + ( 17.7 - 18.8 )2 }

Z = 6.10

b) the current is

Imax = V / Z

Imax = ( 12 V ) / ( 6.10 )

Imax = 1.97 A

c) the power delivered to the resistor is

P = I V

P = 1.97 A * 12 V

P = 23.6 W

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