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Old Feb 6th 2009, 11:51 AM   #1
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Circuit

Determine the voltage across the 5.0 resistor in the drawing (V1 = 12.0 V and V2 = 16.0 V).
1 V
Which end of the resistor is at the higher potential? 2
left end of the resistor
right end of the resistor




Section 20.10 Kirchhoff's Rules
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Old Feb 6th 2009, 10:08 PM   #2
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I notice that your problem is similar to the circuit worked on the page:
Examples

In terms of the variables in that problem
$\displaystyle V_a = 10 $
$\displaystyle V_b = 14 $
to allow for the effect of the 2 volt battery.

You would have to solve the simultaneous eq 4 & 5 on that page without assuming all resistors are the same. (I dont know why that page introduced that assumption.)
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Old Feb 7th 2009, 07:34 AM   #3
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You can use loop

$\displaystyle R = 5 \ohm$
$\displaystyle V = 2.0 V $

For left loop:
$\displaystyle V_1 - V = I_1 R + (I_1 + I_2) 2R$

Right loop:
$\displaystyle V_2 - V = I_2 2R + (I_1+I_2) 2R$

Solve the equations for currents, and then you can determine which resistor has greater voltage.
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