Max Power Circuit Homework: Find Max Power w/o Load Resistance

Click For Summary
SUMMARY

The discussion focuses on determining the maximum power transfer in a circuit without knowing the load resistance (Rl). The user converted current sources to voltage sources, resulting in voltage values of 20V and 50V. Using mesh current analysis, they calculated the currents I1, I2, I3, and I4, but expressed uncertainty about finding maximum power without Rl. The key principle for maximum power transfer is that the load resistance (Rl) must equal the source resistance (Rs).

PREREQUISITES
  • Understanding of mesh current analysis
  • Knowledge of Ohm's Law (V = IR)
  • Familiarity with the maximum power transfer theorem
  • Basic circuit analysis skills
NEXT STEPS
  • Study the maximum power transfer theorem in detail
  • Learn about Thevenin's theorem for simplifying circuits
  • Explore techniques for calculating equivalent resistance in circuits
  • Investigate the impact of varying load resistance on power output
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in circuit analysis and power optimization.

camino
Messages
42
Reaction score
0

Homework Statement


http://img63.imageshack.us/img63/80/circuit1.jpg


Homework Equations



P = (I^2)(R)

The Attempt at a Solution



First, I turned the 2A and 4A current sources into voltage sources by V = IR. So (2A)(10Ω) = 20V and (4A)(12Ω) = 50V

Then I had the circuit simplified into 4 loops, then applied mesh current analysis and got the following:

I1= 3.1374A
I2= -0.2125A
I3= -5.7941A
I4= 0.1874A

(I started loop 1 in the bottom left square and went clockwise in numbering.)

Now, I'm not sure how to find max power if I don't know the resistance of the load.

Please help! If there is an easier/better way to do this please explain!
 
Last edited by a moderator:
Physics news on Phys.org
Under what conditions you will get max power transfer from a source with resistance Rs to a load Rl?

How Rs and Rl are related?


Knowing that, can you find Rs?

(R as it appears looking into a-b ) without Rl
 

Similar threads

Engineering Computing the Maximum Power delivered to a Resistor
  • · Replies 7 ·
Replies
7
Views
2K
Max Power Transfer Homework: Find Ro for Max Power
  • · Replies 7 ·
Replies
7
Views
2K
Maximum power is transferred when load R = Source R ?
  • · Replies 13 ·
Replies
13
Views
2K
Engineering Understanding Maximum Power in Circuit: Comparing Load and Circuit Approaches
  • · Replies 7 ·
Replies
7
Views
3K
Engineering Calculate the maximum power of the resistor in a circuit
  • · Replies 8 ·
Replies
8
Views
3K
Max Power Transfer to Ro: Percentage Explained
  • · Replies 3 ·
Replies
3
Views
3K
Engineering AC Circuit Phasors: Find I1, I2, I3
  • · Replies 26 ·
Replies
26
Views
3K
Maximum Power dissipated at load resistor
  • · Replies 3 ·
Replies
3
Views
1K
Engineering Maximum power transfer in a circuit
  • · Replies 1 ·
Replies
1
Views
4K
Engineering Thévenin Circuit: Power Delivered vs Power Transferred?
  • · Replies 5 ·
Replies
5
Views
6K