The webpage title could be: Solving for Power Factor in a Complex Circuit

AI Thread Summary
The discussion focuses on solving a circuit problem involving a 100Ω resistor, a 2 uF capacitor, and a 20 mH inductor connected in series with a complex voltage source. Participants emphasize the importance of understanding phasors and calculating the impedances of each circuit component to determine effective (rms) voltage, effective (rms) current, true power, and power factor. A key equation for calculating power factor is highlighted as PF = R/Z. The challenge of starting the problem is acknowledged, especially for those studying in a non-native language. Overall, the conversation aims to clarify the approach to solving the circuit's properties.
agata78
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Homework Statement



Could you please help me to start this question?

Calculate the properties of complex periodic waves.

A 100Ω resistor is connected in series with a 2 uF capacitor and a 20 mH inductor. The voltage
1 sin 5000t+0.5 sin 1000t V is applied across the circuit.

Determine:
1. the effective ( rms) voltage
2. the effective (rms) current
3. the true power
4. the power factor

Thank you!

Homework Equations





The Attempt at a Solution

 
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Agata 78 said:

Homework Statement



Could you please help me to start this question?

Calculate the properties of complex periodic waves.

A 100Ω resistor is connected in series with a 2 uF capacitor and a 20 mH inductor. The voltage
1 sin 5000t+0.5 sin 1000t V is applied across the circuit.

Determine:
1. the effective ( rms) voltage
2. the effective (rms) current
3. the true power
4. the power factor

Thank you!

Homework Equations





The Attempt at a Solution


How do you think you should approach this problem? Have you been studying phasors in this class? Or are you supposed to use differential equations to do the calculations?

If you have been studing phasors, what are the impedances of each of the 3 components?

What is the equation that defines the power factor of a circuit?
 
I have been studying away from college cause I am working. Its hard subject, specially if english is not your first language.
Its always difficult to start the question, cause you need to know what they are asking you to do.

The simple equation for power factor: PF= R/ Z
 

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