Engineering Solving Basic Circuit Problem: Find Voltage Across 10 Ohm Resistor

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To find the voltage across a 10-ohm resistor, the discussion highlights the necessity of using circuit analysis methods beyond simple resistor reductions. The problem involves resistors in parallel and series, with a voltage source affecting the circuit configuration. Participants note that the solution in the textbook utilized source transformation, which some found unfair for the problem's level. While nodal analysis and mesh methods were mentioned, it was concluded that more complex analysis is required to arrive at the correct voltage of 14.286 volts. Ultimately, the consensus is that basic techniques alone are insufficient for this circuit problem.
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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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