Find power dissipated in circuit with a ground

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Homework Help Overview

The discussion revolves around finding the power dissipated by a 12 ohm resistor in a circuit and determining the potential at various points (a, b, c, d) within that circuit. The context includes considerations of how grounding affects these potentials.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the calculation of current and power using the equations P=I^2R and I=V/R. There is uncertainty about the impact of grounding on these calculations and the actual potentials at different points in the circuit.

Discussion Status

Some participants have provided hints and clarifications regarding the voltage differences between points and the implications of grounding. There is an ongoing exploration of whether the ground affects the potential differences in the circuit.

Contextual Notes

Participants express uncertainty about the role of ground in the circuit, with some suggesting it does not alter potential differences, while others question the consistency of the voltage equations used in the calculations.

physics416
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Homework Statement


1. Find the power dissipated by 12 ohm resistor
2. What is the potential at points a,b,c,d?

Homework Equations


P=I^2R
I=V/R

The Attempt at a Solution


For a) 3v-IR-6v-IR=0
9v=I(18)
I=0.5
P=0.5^2 * 12 = 3 watts
But not sure if the ground changes anything

b) unsure if ground changes anything
 

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Hint : What is the voltage btw point b,a and b,c and a,d ? Groud represents 0V
 
Between bc is 6v and between ad is 3v? if my current calculation is correct, then is v between ab is 3? But are those the potential differences or the actual potentials? For example does the 6 ohm resistor use up all its potential such that it is 0 at point b and point c gains 6v?
 
Noctisdark said:
Hint : What is the voltage btw point b,a and b,c and a,d ? Groud represents 0V

Between bc is 6v and between ad is 3v? if my current calculation is correct, then is v between ab is 3? But are those the potential differences or the actual potentials? For example does the 6 ohm resistor use up all its potential such that it is 0 at point b and point c gains 6v?
 
Edit : for mistakes, Vad = 3V, Va = 0 since it's connected to the ground so Vd = 3, Vbc = 6V just as you said, according to your calculation P = RI^2 = V^2/R = 3, you're almost there !,
 
Last edited:
physics416 said:

Homework Statement


1. Find the power dissipated by 12 ohm resistor
2. What is the potential at points a,b,c,d?

Homework Equations


P=I^2R
I=V/R

The Attempt at a Solution


For a) 3v-IR-6v-IR=0
9v=I(18)
I=0.5
P=0.5^2 * 12 = 3 watts
But not sure if the ground changes anything

b) unsure if ground changes anything
screen-shot-2015-07-03-at-5-40-04-pm-png.85508.png

The ground changes nothing.

Your solution is correct.
 
physics416 said:
b) unsure if ground changes anything

The "ground" means that the potential is zero at point a. But that does not change the potential differences between two points of the circuit.
 
physics416 said:
For a) 3v-IR-6v-IR=0

You got the right answer but this equation is inconsistent.

+3v implies you are summing the voltages anticlockwise so to be consistent it should be +6v not -6V...

+3V - (I*12) +6V - (I*6) = 0
 

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