Finding the Potential (Kirchoff's Law)

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SUMMARY

This discussion focuses on applying Kirchoff's Voltage Law (KVL) to analyze a circuit with two batteries and two resistors. The user initially calculated the current (I) as 20 Amps but identified discrepancies in the potential at point Q, which should be 97V. The conversation highlights the importance of correctly identifying resistor values and their positions in the circuit to accurately apply KVL and determine voltage drops across components.

PREREQUISITES
  • Understanding of Kirchoff's Voltage Law (KVL)
  • Basic knowledge of Ohm's Law (V=IR)
  • Familiarity with circuit analysis techniques
  • Ability to interpret circuit diagrams
NEXT STEPS
  • Study advanced applications of Kirchoff's Laws in complex circuits
  • Learn about series and parallel resistor combinations
  • Explore techniques for analyzing circuits with multiple loops
  • Review methods for calculating voltage drops across resistors
USEFUL FOR

Students studying electrical engineering, educators teaching circuit analysis, and hobbyists working on electronics projects who need to understand circuit behavior using Kirchoff's Laws.

Xarvist
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Homework Statement


http://puu.sh/i8Bg


Homework Equations


V=IR
ƩV = 0

The Attempt at a Solution


Starting behind the left EMF source I sum the potential changes using Kirchoff's Voltage Law
150V - R2I - 50V - R1I = 0
Solving for I, I get 20Amps

However I know this can't be right because the potential at point Q is 97V
and after traversing the circuit, the potential according ot the calculated I is 110 Volts..

Can someone perhaps show me step-by-step to do problems like these?
 
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Xarvist said:

Homework Statement


http://puu.sh/i8Bg


Homework Equations


V=IR
ƩV = 0

The Attempt at a Solution


Starting behind the left EMF source I sum the potential changes using Kirchoff's Voltage Law
150V - R2I - 50V - R1I = 0
Solving for I, I get 20Amps

However I know this can't be right because the potential at point Q is 97V
and after traversing the circuit, the potential according ot the calculated I is 110 Volts..

Can someone perhaps show me step-by-step to do problems like these?

Note that there is no Earth connected to this circuit, so no point on the circuit is necessarily at 0 V.

If the current flows anti-clockwise, the potential goes up 150 as you pass through the left battery, drop 40 or 60 through the bottom resistor [having trouble which resistor is which - one you start to reply the picture of the circuit is gone], drop another 50 going "backwards" through the ideal battery on the right, then another 60 or 40 through the top resistor.
So I think P should be at -13 or 7 depending which resistor was the 2Ω and which was the 3Ω
 
PeterO said:
Note that there is no Earth connected to this circuit, so no point on the circuit is necessarily at 0 V.

If the current flows anti-clockwise, the potential goes up 150 as you pass through the left battery, drop 40 or 60 through the bottom resistor [having trouble which resistor is which - one you start to reply the picture of the circuit is gone], drop another 50 going "backwards" through the ideal battery on the right, then another 60 or 40 through the top resistor.
So I think P should be at -13 or 7 depending which resistor was the 2Ω and which was the 3Ω

Okay I understand everything but the very end. What calculations did you do to get those two numbers?
 
Using loop laws you can get the above answer ! join PQ by arbitrary line and can calculate the voltage difference between points P and Q using Loop law.
 
Xarvist said:
Okay I understand everything but the very end. What calculations did you do to get those two numbers?

As I said, as soon as I start answering the post, I no longer have access to the circuit diagram. I remembered that the 150V battery was on the left and the 50V battery was on the right. I didn't remember which resistor was on the top and which was on the bottom. I do know there is a 60v drop across the 3Ω resistor and 40V drop across the 2Ω. Depending which one was top/bottom determines whether Q is at -13 [110 below], or 7 [90 below] point Q.
I figured you would be able to work out which one - as you ahve the original circuit, and a greater need to solve the problem.
 

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