How Do I Apply Kirchhoff's Loop Law to Solve an H-Bridge Circuit Problem?

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Discussion Overview

The discussion revolves around applying Kirchhoff's Loop Law (KVL) to solve a circuit problem involving an H-bridge configuration. Participants explore different methods for analyzing the circuit, including the use of matrices and substitution, while addressing the challenges faced by a student preparing for an exam.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • A student expresses difficulty in solving a circuit with multiple loops and seeks help with applying KVL and using matrices or substitution methods.
  • One participant emphasizes the importance of showing work to receive assistance and suggests writing out Kirchhoff's Current Law (KCL) or KVL equations.
  • The student provides a series of equations derived from their understanding of the circuit, but expresses uncertainty about their correctness and the relationships between currents and resistors.
  • Another participant suggests a straightforward approach of assuming currents in different loops and writing three equations, noting that resistors shared between loops should be treated according to their direction and voltage.
  • A later reply recommends labeling the resistors in the schematic for clarity and questions whether KVL is required, suggesting that KCL might be more intuitive for the problem.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to solve the circuit problem, as multiple methods (KVL vs. KCL) and levels of understanding regarding matrices are discussed. The discussion remains unresolved with differing opinions on the most effective strategy.

Contextual Notes

Some participants note the potential complexity of using matrices for solving the equations, while others highlight the need for clear labeling of circuit components to facilitate understanding. There is also uncertainty regarding the necessity of using KVL specifically for this problem.

Who May Find This Useful

This discussion may be useful for students studying circuit analysis, particularly those preparing for exams involving Kirchhoff's laws and circuit equations.

Baioff
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I am a grade 11 student in Canada. I have an exam in 3 days and i cannot figure out how to solve a cricuit with several loops... i have been told that for this specific cricuit i can use Matricies or Substitution. I don't know anything about Matrices and I am having trouble substituting with three equation and three unknows... i have attached a schematic diagram, it is simalar to a wheatstone bridge and is called an H-bridge. could someone please help me solve this...
 

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Thread moved to the homework forums. Baioff, one of the rules here on the PF is that on homework/exam questions like this, you must show us your work in order for us to help you. Tell us what you do know about writing the KCL or KVL equations. If you write out the equations, it's pretty easy for us to give you some hints on how to solve a set of 3 linear equations in 3 unknowns (if that's what results).
 
Ok srry about that

Homework Statement


circuit attached above... Vt, and all resistances will be given

Homework Equations


Matrix algebra ?

The Attempt at a Solution


well i was shown the following by a physics tutor who was only partially knowlegable on the subject. (resistors labled 1-5 1 being top left 2 top right 3 middle 4 bottom left and 5 bottom right)

0=I2R5+I5R3 - I3R4
0=I4R2+I5R3-I3R4
0=I1R5+I5R3+I6R1 +v

I1=I3+I2
I2+I4+I5
I1=-I5+I6+I4+I5
I3=-I5+I6
I4=I1-I6

then...

I5(R3+R4+R5) =I6R5-I4R5
I5R3=I4R2-I6R1
I5R3=I6(-R5 - R1) -I4R5 - V

I think that's right... but if someone could elaborate on how to decide appon the I number and how they relate to the resistors and possibly an easier way of solving this.
 
Last edited:
its simple jus assume currents 1 2 3 flowing in threee diff loops
then jus write 3 equations n if a resistor is appearing in 2 circuits take it like
sum of both according to the direction multiplied with resistance which equals voltage
n take net sun of voltages in the loops equal to 0
now for solving the equations u can use matrices or substitution
method which is of ur choice depending on ur ease with the matrices concept
 
First, it would help if you could label the resistors in your sketch. That would make it easier to follow your equations and then suggest ways to reduce the equations.

In addition, are you required to use the KVL loop equations to solve this problem? If not, I find the KCL node voltage equations much more intuitive to work with.
 

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