Power transferred to resistance

  • Thread starter Thread starter Tosh5457
  • Start date Start date
  • Tags Tags
    Power Resistance
Click For Summary
SUMMARY

The average power transferred to a speaker with a resistance of 10.4 Ohms and an additional resistance of 8.20 Ohms in series can be calculated using the formula P = I^2R. The maximum voltage of the AC source is 15.0 V, but to find the average power, one must use the RMS values for voltage and current. The presence of the additional resistance forms a voltage divider, reducing the current through the speaker resistance, which directly affects the power calculation.

PREREQUISITES
  • Understanding of Ohm's Law
  • Knowledge of AC circuit analysis
  • Familiarity with RMS (Root Mean Square) calculations
  • Experience with power calculations in electrical circuits
NEXT STEPS
  • Learn how to calculate RMS values for AC voltage and current
  • Study voltage divider circuits and their applications
  • Explore power transfer in AC circuits
  • Investigate the effects of series and parallel resistances on circuit behavior
USEFUL FOR

Electrical engineering students, hobbyists working with AC circuits, and anyone interested in understanding power transfer in resistive circuits.

Tosh5457
Messages
130
Reaction score
28

Homework Statement


Speaker Resistance = 10.4 Ohm
R = 8.20 Ohm
Maximum voltage of AC source = 15.0 V

What's the average power transferred to the speaker?

Homework Equations



P = I^2R
Imax = I/2^0.5

The Attempt at a Solution



I could the problem if there was only the speaker resistance. I don't understand how the other resistance comes into play or what it does in the circuit.
 
Physics news on Phys.org
Hi Tosh5457! :smile:
Tosh5457 said:
I could the problem if there was only the speaker resistance. I don't understand how the other resistance comes into play or what it does in the circuit.

The extra resistance reduces the current, I. :wink:
 
The other resistance, in series with the speaker resistance, form a voltage divider. Only a fraction of the supply voltage will appear across the speaker resistance.

You can determine the current through the series connected resistors, then using that current find the voltage developed across the speaker.

Keep in mind that you've been given the maximum voltage of the AC source. To find the average power you'll want the RMS values for voltage and current delivered to the speaker.
 

Similar threads

Fundamental electrokinetics problem calculation using Ohm's Law
  • · Replies 4 ·
Replies
4
Views
891
Current through a circuit when the key is open
  • · Replies 42 ·
2
Replies
42
Views
6K
Electrical Circuits - Parallel vs. Series
  • · Replies 14 ·
Replies
14
Views
2K
Calculate the individual voltage, current and power in series and para
  • · Replies 1 ·
Replies
1
Views
2K
Need help with a question on potential difference
  • · Replies 7 ·
Replies
7
Views
2K
Long distance electrical transmission efficiency
  • · Replies 2 ·
Replies
2
Views
2K
Measurement technology textbook problems
  • · Replies 1 ·
Replies
1
Views
833
Measurement technology textbook problems
  • · Replies 2 ·
Replies
2
Views
752
Current through an inductor as a function of time
  • · Replies 10 ·
Replies
10
Views
1K
Incandescent Bulb - suitable approximation for voltage-current curve
  • · Replies 2 ·
Replies
2
Views
1K