Calculating Apparent Power, Average Power, and Power Factor in AC Circuits

In summary, the conversation is about finding the AC impedance and power values in a circuit with L and C components. The quantities to be found are apparent power (S), average power (P), and power factor (p). The formula for S is S=1/2 Vm Im and for P=1/2 Vm I am Cos(phi). The expected answers are 676VA at an angle of 58.16 degrees, with a power factor of 52% and power of 357 watts. The speaker is seeking assistance in finding the correct answer and is asked to show what they have tried so far.
  • #1
mohamen
8
0
ac impedance ...find power

this is the circuit...attached...i have to find appartent power ( S) , Average Power (P) and power factor (p)...i have tried this question a lot times but every time i get incorrect result ...please solve this question...

Thanks
 

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  • #2
please reply...
 
  • #3
Please show us what you have tried.

What are the definitions of the quantities you need to find?
 
  • #4
u just have 2 find the apparent power and average power ...u have been given a circuit having L & C...first u have to find its impedances then find the S and P...the formula for S is S=1/2 Vm Im...and for P=1/2 Vm I am Cos (phi)...thats it...i have tried by this but i didnt get the correct answer...
 
  • #5
You need to show us what you have tried, that way we can help you find your errors.
 
  • #6
Your naswers should be 676VA at an angle of 58.16 degrees. PF=52%, Power = 357 watts. Now, what have you done so far?

Hope this helps.
 

FAQ: Calculating Apparent Power, Average Power, and Power Factor in AC Circuits

What is ac impedance?

Ac impedance, or alternating current impedance, is a measure of the opposition to the flow of current in an alternating current (AC) circuit. It is a complex quantity that takes into account both the resistance and reactance of the circuit.

How is ac impedance different from dc impedance?

The main difference between ac and dc impedance is that ac impedance takes into account the frequency of the alternating current, while dc impedance only considers the resistance of the circuit. This is because in an ac circuit, the current and voltage are constantly changing, while in a dc circuit they remain constant.

Why is ac impedance important?

Ac impedance is important because it affects the performance and efficiency of electrical circuits in devices such as motors, generators, and electronic equipment. It is also used in the design and analysis of power systems, as well as in the measurement of electrical properties of materials.

How do you calculate ac impedance?

Ac impedance can be calculated using Ohm's Law, where impedance (Z) is equal to the ratio of voltage (V) to current (I): Z = V / I. However, since ac impedance is a complex quantity, it is often represented as a vector in the complex plane, where the real part is the resistance and the imaginary part is the reactance.

What is the relationship between ac impedance and power?

The relationship between ac impedance and power is given by the equation P = V² / Z, where P is power, V is voltage, and Z is impedance. This means that as impedance increases, power decreases, and vice versa. This relationship is important in the design and optimization of electrical circuits and systems.

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