RMS voltage, phase angle, AC circuits

In summary, an AC power supply with a peak voltage output of 200 volts, operating at 60 Hz, is connected to a 53 microFarad capacitor. The difference in phase angle between the applied voltage and current can be calculated using the basic relationship between voltage and charge. The rms current in the circuit can be found by dividing the peak voltage by √2. The rate of energy dissipated to heat in the capacitor can be determined using various equations. More information and resources about phase angle and its definition can be found in the provided link.
  • #1
kevinlikesphysics
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0

Homework Statement




An AC power supply with a peak volatge output of 200 volts, operating at 60 Hz, is connected to a 53 microFurad capacitor

A) what is the difference in phase angle between the applied voltage and the current

B) what is the rms current in the circuit

C) what is the rate of energy dissipated to heat in the capacitor



Homework Equations



Several,



The Attempt at a Solution



I really just need an explanation of phase angle and what RMS is. The other stuff I have equations for and seems pretty straight forward.

Any information or links about phase angle and its use/purpose/definition would be greatly appreciated.
 
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  • #2
hi kevinlikesphysics! :smile:
kevinlikesphysics said:
I really just need an explanation of phase angle and what RMS is. The other stuff I have equations for and seems pretty straight forward.

rms voltage is peak voltage divided by √2 :smile:

phase angle is the difference in phase between the https://www.physicsforums.com/library.php?do=view_item&itemid=301" in AC circuits) …

in this case, you should be able to get it from the basic https://www.physicsforums.com/library.php?do=view_item&itemid=112" equation relating voltage and charge (remember, current = charge per time :wink:)
 
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Related to RMS voltage, phase angle, AC circuits

1. What is RMS voltage?

RMS (Root Mean Square) voltage is a measure of the average voltage in an alternating current (AC) circuit. It represents the equivalent direct current (DC) voltage that would produce the same amount of power in a resistive circuit.

2. How is RMS voltage calculated?

RMS voltage is calculated by taking the square root of the average of the squared values of the voltage over one cycle in an AC circuit. This value is then multiplied by 0.707 to get the RMS voltage.

3. What is the significance of phase angle in AC circuits?

Phase angle is the measurement of the difference in time between two waveforms in an AC circuit. It is important because it determines the relationship between the voltage and current in the circuit, which affects the power and efficiency of the system.

4. How is phase angle measured in AC circuits?

Phase angle is measured in degrees or radians and can be calculated using the inverse tangent function of the ratio of the voltage and current in the circuit. It can also be measured using an oscilloscope.

5. How are AC circuits different from DC circuits?

AC (alternating current) circuits have a constantly changing voltage and current, while DC (direct current) circuits have a constant voltage and current. AC circuits also have the ability to change the voltage and current through the use of transformers, while DC circuits cannot.

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