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a) If the rms voltage across the generator is 159 V, calculate the average power

ID: 2141035 • Letter: A

Question

a) If the rms voltage across the generator is 159 V, calculate the average power P(at 446 Hz) being used by the circuit.

P(at 446 Hz) =


b)If the rms voltage across the generator is 159 V when at resonance, calculate the average power Pres being used by the circuit.

Pres =

If the rms voltage across the generator is 159 V, calculate the average power P(at 446 Hz) being used by the circuit. P(at 446 Hz) = If the rms voltage across the generator is 159 V when at resonance, calculate the average power Pres being used by the circuit. Pres =

Explanation / Answer

power at 446 HZ is


P = V^2 / Z


where Z = sqrt ( R^2 + ( XL-Xc) )


where XL = 2*pi * 446 * inductor value


Xc = 1 / (2*pi*446* capcitor value)


b)

at resonance XL =Xc


Z = R ...........from above relation


hence power is p = V^2 / R