Power supplied by battery in a multiple loop Circuit

AI Thread Summary
To calculate the power supplied by each 12V battery in a multiple loop circuit, the user has already determined the current in each resistor and the potential difference between points a and b. The primary formula for power, P = IV, is being used, with current calculated using I = V/R. However, there is confusion regarding whether to sum the power dissipated across each resistor or calculate the power for each voltage source separately. It is suggested to apply Kirchhoff's law to find the current in each branch and then use P = I^2R for total power, ensuring to account for each battery's contribution. Accurate calculations will clarify the power supplied by each battery in the circuit.
snoweangel27
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Homework Statement


I am given the circuit, which is shown in the attachment, and I need to calculate the power supplied from each of the 12V batteries.


Homework Equations


I have already solved for the current in each resistor and the potential difference between a and b.

The only equation I know to use is P= IV, where I am calculating I by dividing V/R(equivalence)



The Attempt at a Solution



I have tried solving this multiple times, all without success. My most current attempt at the Power supplied from the right side was finding R(equivalence) = 9 the using I=V/R, then using the new R (4/3) in P=IV P=(4/3 A)*12V, where P=8, which I thought was a rather low number.
 

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ur attachment is pending approval.. why don't u upload it somewhere.. like: http://bayimg.com and then post it here so that it becomes available immediately.
 
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Sorry, I just didn't think about it.

F26-59.jpg


http://i2.photobucket.com/albums/y30/snoweangel27/F26-59.jpg"
 
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Use Kirchoff's law to find the amount of current flowing in each branch i.e. through each resistor. Once you've done that, use the formula:

<br /> P = I^2R<br />

to find the power dissipated.
 
Should I calculate the Power dissipated from each resistor in the loop then sum them to get the total power?
 
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snoweangel27 said:
Should I calculate the Power dissipated from each resistor in the loop then sum them to get the total power?

If you sum I^2R for all the resistances in the circuit that will give you the total power delivered by both voltage sources. But you need the power of each of them separately.

A voltage source with potential difference V that delivers a current I delivers a power VI
 
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