What Is the RMS Current of a 10V Sine Wave Through a 5 Ohm Resistor?

Click For Summary
SUMMARY

The RMS current of a 10V sine wave through a 5 Ohm resistor is calculated using the Root Mean Square (RMS) formula, which is applicable to any periodic waveform. For a 10V sine wave, the RMS value is 10V divided by the resistance of 5 Ohms, resulting in an RMS current of 2 Amperes. This calculation is crucial for understanding how AC voltage translates to current in resistive loads. Instruments typically measure RMS values, making this concept essential for accurate electrical measurements.

PREREQUISITES
  • Understanding of AC voltage and current concepts
  • Familiarity with Ohm's Law
  • Knowledge of periodic waveforms
  • Basic grasp of RMS calculations
NEXT STEPS
  • Study the mathematical derivation of RMS for different waveforms
  • Learn about the differences between RMS and average values in AC circuits
  • Explore practical applications of RMS calculations in electrical engineering
  • Investigate the use of oscilloscopes for measuring RMS values in real-time
USEFUL FOR

Electrical engineers, students studying circuit theory, and anyone involved in AC circuit analysis will benefit from this discussion.

Tesladude
Messages
168
Reaction score
1
So PWM can simulate a decrease in voltage when useing a stable amplitude.

10v50% duty cycle is 1/2 the amplitude meaning 5v. And if this is through a standard resistor then you will see 1/2 the current.

But what about a sine wave? What fraction or percentage does this come out to be? What current will you read with a 10v sine wave through a 5ohm resistor?
 
Engineering news on Phys.org

Similar threads

Calculating Wattage with Sine Wave
  • · Replies 20 ·
Replies
20
Views
4K
Help with current flow, voltage, resistors in basic circuit
  • · Replies 21 ·
Replies
21
Views
3K
Resistive heating power AC vs rectified AC/DC
  • · Replies 10 ·
Replies
10
Views
5K
Trouble building a Buck Converter
  • · Replies 14 ·
Replies
14
Views
2K
How low can I go with voltage to increase current in a resistive AC circuit?
  • · Replies 15 ·
Replies
15
Views
3K
Building a Buck Converter Using the LT1170
  • · Replies 10 ·
Replies
10
Views
3K
Question about RMS power, confused a little
  • · Replies 6 ·
Replies
6
Views
2K
Finding the Current Through a Resistor (Working With Parallel and Series)
  • · Replies 3 ·
Replies
3
Views
2K
Can you help me find the current through the 15 Ohm resistor branch?
  • · Replies 14 ·
Replies
14
Views
4K
Graduate EM waves, longitudinal EM propagation?
  • · Replies 15 ·
Replies
15
Views
3K