Solving Basic Circuit Problem: Find Voltage Across 10 Ohm Resistor

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SUMMARY

The discussion centers on calculating the voltage across a 10 Ohm resistor using circuit analysis methods. The problem involves a combination of resistors in parallel and series, specifically 20 Ohm, 30 Ohm, and 60 Ohm resistors. The correct solution involves using source transformation and current division, leading to a voltage of 14.286 volts across the 10 Ohm resistor. Participants emphasize the necessity of advanced techniques like nodal analysis and mesh analysis for accurate results.

PREREQUISITES
  • Understanding of Ohm's Law
  • Familiarity with source transformation techniques
  • Knowledge of nodal analysis
  • Experience with mesh analysis
NEXT STEPS
  • Study source transformation methods in circuit analysis
  • Learn about current division in parallel resistor networks
  • Explore nodal analysis techniques for complex circuits
  • Review mesh analysis applications in circuit design
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing and solving electrical circuit problems.

Magnawolf
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Homework Statement



ioM3d59.png


Find voltage across 10 ohm resistor.

Homework Equations



Ohm's law

The Attempt at a Solution



20 // 30 = 12
30 // 60 = 20

That's as far as I can get. The answer is 14.286.
 
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While the 20 and 30 Ohm resistors are in parallel, the 30 and 60 Ohm resistors are not (the voltage source intervenes).

You'll need to pull out some circuit analysis method. There are several choices. What methods have you studied so far?
 
jvbP2jN.png


Here's the solution to the problem.

It looks like the book did source transformation, which I didn't think was fair because this problem is before source transformation.

I know nodal analysis and mesh but I thought it was possible to do without them. I thought you could just find the R-total and then you could find the total current. I guess not?
 
Magnawolf said:
jvbP2jN.png


Here's the solution to the problem.

It looks like the book did source transformation, which I didn't think was fair because this problem is before source transformation.
Yup, they did a source transformation (Norton) and then current division.

I know nodal analysis and mesh but I thought it was possible to do without them. I thought you could just find the R-total and then you could find the total current. I guess not?
You need more than simple resistor network reductions (parallel/serial) here. Nodal analysis would be a good choice.
 
alright thanks
 

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