Circuits: phase angles and its effects on maxium current

In summary, the circuit has an AC voltage source supplying an rms voltage of 147 V at frequency f. The impedance of the circuit is 152 Ω, the rms current is 0.967 A, and the phase angle between the current and voltage is 44.2 degrees. At the instant the voltage across the generator is at its maximum value, the magnitude of the current in the circuit is the same as the rms current.
  • #1
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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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  • #2
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.
 

Related to Circuits: phase angles and its effects on maxium current

1. What is a phase angle in a circuit?

A phase angle in a circuit is the measurement of the difference in time between two alternating currents or voltages. It is typically measured in degrees and is used to describe the relationship between the two waveforms in a circuit.

2. How does the phase angle affect maximum current in a circuit?

The phase angle can affect the maximum current in a circuit by changing the overall impedance of the circuit. When the phase angle is zero, the impedance is at its minimum and maximum current can flow. However, as the phase angle increases, the impedance also increases, resulting in a decrease in maximum current.

3. What is the difference between leading and lagging phase angles?

A leading phase angle occurs when the current waveform leads the voltage waveform in a circuit, while a lagging phase angle occurs when the current waveform lags behind the voltage waveform. This difference can affect the power factor and overall efficiency of a circuit.

4. How can phase angles be adjusted in a circuit?

Phase angles can be adjusted in a circuit by using components such as capacitors and inductors. These components can alter the phase relationship between voltage and current and therefore change the phase angle.

5. What are some practical applications of understanding phase angles in circuits?

Understanding phase angles in circuits is important for designing and maintaining efficient electrical systems. It is commonly used in power factor correction, where the phase angle is adjusted to improve the efficiency of the system. It is also important in AC motor control and power transmission systems.

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