Use Thevenin’s and Norton’s theorems to find the current in RL for the

  • Thread starter Thread starter shaltera
  • Start date Start date
  • Tags Tags
    Current
Click For Summary
SUMMARY

The discussion focuses on applying Thevenin’s and Norton’s theorems to determine the current through a load resistor (RL) in a given circuit. The user successfully calculated the Thevenin equivalent voltage (VTH = 33.793 - j5.517) and impedance (ZTH = 19.068 + j11.172), and subsequently derived the load current (I = 0.489 ∠ -18.401 degrees). The user also inquired about the Norton equivalent and confirmed that the Norton current (IN) can be calculated as IN = VTH/ZTH, facilitating the calculation of the load current (IL) using the relationship IL = IN(ZTH/(ZTH + RL)).

PREREQUISITES
  • Understanding of Thevenin’s theorem
  • Familiarity with Norton’s theorem
  • Complex number arithmetic
  • Knowledge of AC circuit analysis
NEXT STEPS
  • Study the derivation of Thevenin and Norton equivalents in AC circuits
  • Learn about converting complex numbers to polar form
  • Explore load resistor calculations in AC circuits
  • Investigate practical applications of Thevenin’s and Norton’s theorems in circuit design
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in AC circuit analysis will benefit from this discussion, particularly those looking to deepen their understanding of Thevenin’s and Norton’s theorems.

shaltera
Messages
91
Reaction score
0

Homework Statement


Use Thevenin’s and Norton’s theorems to find the current in RL for the circuit

TASK1_A.jpg


Homework Equations


The Attempt at a Solution


Thevenin equivalent
THEV.jpg


I have calculated VTH and ZTH
VTH=33.793-j5.517
ZTH=19.068+j11.172
Then I converted them in polar forms
Thefore I calculated the current through the load resistor I=VTH/ZTH+RL
I=0.489<-18.401

Homework Statement


My problem is Norton equivalent.Can it be represented like this:
nortas.jpg


and then IN=VTH/ZTH,once I find IN can easily calculate IL=IN(ZTH/ZTH+RL)
 
Last edited by a moderator:
Physics news on Phys.org
shaltera said:

Homework Statement


Use Thevenin’s and Norton’s theorems to find the current in RL for the circuit

TASK1_A.jpg


Homework Equations





The Attempt at a Solution


Thevenin equivalent
THEV.jpg


I have calculated VTH and ZTH
VTH=33.793-j5.517
ZTH=19.068+j11.172
Those values look fine.

Then I converted them in polar forms
Thefore I calculated the current through the load resistor I=VTH/ZTH+RL
I=0.489<-18.401
The current magnitude looks good. Maybe a typo in the second decimal place of the angle?

Homework Statement


My problem is Norton equivalent.Can it be represented like this:
nortas.jpg


and then IN=VTH/ZTH,once I find IN can easily calculate IL=IN(ZTH/ZTH+RL)
Yes, that's correct.
 
  • Like
Likes   Reactions: 1 person

Similar threads

Engineering Find Current Through 40 Ohms Resistor Using Thevenin
  • · Replies 8 ·
Replies
8
Views
2K
Engineering How do I find Vth with the node voltage method?
  • · Replies 10 ·
Replies
10
Views
4K
Engineering Thevenin Equivalent of AC RLC Circuit w/ Dependent Voltage
  • · Replies 2 ·
Replies
2
Views
4K
Engineering Attempt at Thevenin Equivalent Circuit
  • · Replies 8 ·
Replies
8
Views
3K
Engineering Find load impedance / (Thevenin / Norton too) with RLC & AC circuit?
  • · Replies 13 ·
Replies
13
Views
4K
Help on thevenizing a Scheering Bridge
  • · Replies 2 ·
Replies
2
Views
3K
Thevenin Equivalent : Wrong value for Rth
  • · Replies 7 ·
Replies
7
Views
3K
Engineering How do I find the Thevenin Equivalent of this circuit?
  • · Replies 10 ·
Replies
10
Views
3K
Calculating Thevenin Resistance and Current in a Complex Circuit
  • · Replies 2 ·
Replies
2
Views
2K
Are Overly Complicated Homework Problems Beneficial for Student Learning?
  • · Replies 2 ·
Replies
2
Views
2K