A question on alternating current

In summary, the peak value of an alternating current in a 1500W device is 5.4A, and the rms voltage (root-mean-square voltage) across it is 392.84V. The correct method to solve this problem is to use the equation Irms=P/Vrms, where Irms is the root-mean-square current and P is the power in watts. This method may seem simple, but it is indeed the correct approach.
  • #1
Kudo Shinichi
109
1

Homework Statement


The peak value of an alternating current in a 1500W device is 5.4A. What is the rms voltage (root-mean-square voltage)across it?

The Attempt at a Solution


Peak current=sqrt(2)*Irms
5.4A=sqrt(2)*Irms
Irms=3.82A
Irms=P/Vrms
3.82=1500/Vrms
Vrms=392.84V

I am not sure whether this is the correct way to do the question or not, because it seems to simple...Any comment/help would be great. Thank you very much.
 
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  • #2
This is, in fact, the correct way to do it, easy though it may seem.
 
  • #3
jdougherty said:
This is, in fact, the correct way to do it, easy though it may seem.

thank you very much^^
 

1. What is alternating current (AC)?

Alternating current is a type of electrical current that constantly changes direction. It is the type of electricity used in most homes and buildings, and is produced by generators and power plants.

2. What is the difference between alternating current and direct current?

The main difference between alternating current and direct current is the direction of flow. In AC, the direction of the current changes constantly, while in DC, the direction remains constant. AC is also able to travel longer distances without losing energy, making it more efficient for powering homes and buildings.

3. How is alternating current generated?

Alternating current is generated using a device called an alternator, which converts mechanical energy into electrical energy. This is typically done using a rotating magnet inside a stationary coil of wire.

4. What are the advantages of using alternating current?

One of the main advantages of using alternating current is that it can easily be converted to different voltages, making it suitable for a wide range of applications. It is also more efficient for long distance power transmission and is safer for household use compared to direct current.

5. What are some common uses of alternating current?

Alternating current is used in a variety of everyday applications, including powering household appliances, lighting, and electronic devices. It is also used in industrial settings for machinery, motors, and other equipment.

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