Circuits: phase angles and its effects on maxium current

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SUMMARY

The discussion focuses on calculating the impedance, rms current, phase angle, and maximum current in an AC circuit with given parameters: R = 109 Ω, XL = 212 Ω, and XC = 106 Ω. The impedance was calculated to be 152 Ω, resulting in an rms current of 0.967 A and a phase angle of 44.2 degrees. The maximum current is less than the rms current due to the phase difference, which affects the relationship between voltage and current in the circuit.

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Homework Statement



Circuit

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In the circuit shown, the AC voltage source supplies an rms voltage of 147 V at frequency f. The circuit has R = 109 Ω, XL = 212 Ω, and XC = 106 Ω.



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(a) Find the impedance of the circuit.
Z = Ω *
1.52e2 OK



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(b) Find the rms current flowing in the circuit.
Irms = A *
9.67e-1 OK

HELP: The rms voltage is equal to the rms current times the impedance.




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(c) Find the phase angle in degrees between the current in the circuit and the voltage supplied by the AC source.
φ = degrees *
4.42e1 OK



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(d) At the instant the voltage across the generator is at its maximum value, what is the magnitude of the current in the circuit?
I = A
.683 NO

HELP: Since the voltage across the generator is not exactly in phase with the current, the current will be less than its maximum value. By what factor will it be less?


Homework Equations





The Attempt at a Solution


I couldn't figure out how phase angle effects maximun cureent
I did Irms*sqrt2 to get Imax but not sure where to go from there
 
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The answer is the same as Irms. I just did this homework and spent a lot of time only to try the same answer...and it is the right one.
 

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