Calculating Voltage Drop in an AC Circuit with a High Power Supply and Motor

In summary, the conversation discusses calculating the voltage drop across wires and the voltage at a motor with a power supply of 1200 V and a 100 W rating. The voltage drop is found to be 0.58 V using the equation V=IR, but the use of Irms instead of maximum current is questioned. It is suggested to first determine the equivalent impedance for the motor and then draw the circuit to find the voltage divider between the wire and motor impedances.
  • #1
Sarah88
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0

Homework Statement


Now suppose the power supply is 1200 V, and the motor is rated at 100 W at this higher voltage. If the wires have a resistance of 7.0 ohms, what is the voltage drop across the wires? The voltage at the motor?


Homework Equations


Power= Irms*Vrms
V=IR


The Attempt at a Solution

In terms of the voltage drop across the wires I did: V= IR, I= 100W/1200V= .083 A therefore V= .083A*7.0 ohms = .58 V. However, why is Irms instead of maximum current used to calculate the voltage drop? Also, should the voltage at the motor simply be 1200V, or should it be 1200V-IR (from the resistor)? Thank you!
 
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  • #2
Unless otherwise stated, usually the circuit voltages, currents, and ratings for components like motors assume RMS values.

The rating for a component like a motor assumes ideal conditions (no resistance in the wires from the power source). Your circuit conditions are not ideal, since the wires have resistance. I would suggest first determining an equivalent impedance for the motor from the rating information, and then drawing the circuit. The impedance of the wire and the impedance of the motor will form a voltage divider.
 
  • #3
Perfect, thanks!
 

1. What is voltage in an AC circuit?

Voltage, also known as electromotive force, is the measure of the potential energy difference between two points in an electrical circuit. In an AC (alternating current) circuit, voltage is constantly changing direction and magnitude, unlike in a DC (direct current) circuit where it remains constant.

2. How is voltage measured in an AC circuit?

Voltage in an AC circuit is measured using a voltmeter, which is connected in parallel to the component or circuit being measured. The voltage is measured in volts (V) and can be either peak voltage (the maximum value) or root-mean-square (RMS) voltage (the effective value).

3. What is the difference between peak voltage and RMS voltage?

Peak voltage is the maximum value of voltage in an AC circuit, while RMS voltage is the effective value of the voltage that produces the same amount of power as a DC voltage of the same value. RMS voltage is typically used to measure and compare the voltage levels in AC circuits, as it takes into account the constantly changing direction and magnitude of the voltage.

4. How does voltage affect the components in an AC circuit?

Voltage plays a crucial role in an AC circuit, as it determines the amount of current flowing through the circuit. Higher voltage levels can cause components to overheat and potentially fail, while lower voltage levels can result in a decrease in performance. It is important to carefully consider and regulate the voltage in an AC circuit to ensure the proper functioning of the components.

5. Can the voltage in an AC circuit be changed or controlled?

Yes, the voltage in an AC circuit can be changed or controlled using a transformer. A transformer is an electrical device that can increase or decrease the voltage levels in a circuit by utilizing the principles of electromagnetic induction. This allows for the efficient transmission of electricity over long distances and the ability to regulate voltage levels for different components and devices.

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