Physics Help Forum Circuit

 Feb 6th 2009, 11:51 AM #1 Junior Member   Join Date: Feb 2009 Posts: 1 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
 Feb 6th 2009, 10:08 PM #2 Senior Member   Join Date: Dec 2008 Location: Las Cruces NM Posts: 256 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.)
 Feb 7th 2009, 07:34 AM #3 Banned   Join Date: Jan 2009 Posts: 21 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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