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finding the power

math power calculations watts ohm

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#1 AdverseDeviant

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Posted 05 October 2011 - 00:39

A.The battery has 7.5 V output voltage and 19 Ohm internal resistance. The battery is used to boot a small electric motor with 155 Ohm resistance. Find the power delivered to the motor.


so my first attempt was 7.5/19 =.394737A
then .394737^2*155 = 24.1517W

that was wrong so i I'm thinking this but I have only one try left:
7.5/(19+155) = .043103A
.043103^2*155 = .287976W




B.Two batteries with 2.8 voltage and 9.5 Ohm internal resistance each are connected in series. This battery pack is used to boot a small electric motor with 270 Ohm resistance. Find the power delivered to the motor.


This second question i did the same as the first but only adding the voltage = 2.8 +2.8 = 5.6 and adding the internal resistance R = 19
the 5.6/19 = .294737
.294737^2*270 = 23.4548W

And I also have only one try left with this guess:
5.6/(19+270) = .019377
.01937^2*270 = .101378W


#2 +chconline

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Posted 05 October 2011 - 02:39

[ 7.5V/(19+155) ]^2 * 155 is right for A. Alternatively you could have used a voltage divider, but this works the same way in simple logic.

For B, [ (2.8+2.8)/(9.5+9.5+270) ]^2 * 270 is right. Too lazy to work out the math. Again, you could have used a voltage divider, but using I^2 R also works.

(Man, I miss doing basic circuits.)

#3 OP AdverseDeviant

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Posted 05 October 2011 - 04:27

Thanks.

I'm having trouble with this one too:

Posted Image
The battery is made by connecting 6 unit cells in series and then by connecting 8 of these series cells in parallel. Each unit cell has the voltage of 1.25 V and the internal resistance if 2.2 Ohm. What is the maximum power that can be delivered to the load by this battery?


My first try is this:
V(series) = 6*V
R(series) = 6*R

R(total) = 1/[8/(6R)]
so then P = V^2/R(total) = 48*V^2*R = 165W

#4 Xilo

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Posted 06 October 2011 - 02:23

(Man, I miss doing basic circuits.)

Looking at this brings back painful memories of higher level electrical classes. :cry:

#5 -Himanshu-

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Posted 06 October 2011 - 08:30

Man, I love electrostatics, current electricity, and magnetism!

BTW, OP I have replied to the new thread you created for the second question.