Battery Problem (finding current w/ batteries in parallel)

  • Thread starter aleksxxx
  • Start date
  • #1
23
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Homework Statement


Find the current flowing through the 200ohm resistor
physics2.jpg


E1=5v
E2=10v
E3=15v
r1=3ohms
r2=6ohms
r3=9ohms


The Attempt at a Solution



I know that I1+I2+I3=I
I cant seem to get a loop rule that will allow me to solve for I though.

I came up with the equivalant resistance in the three resistors equal to 1.6ohms.

I tried to draw a simplified circuit diagram, but i am not sure how to do that with different voltages on batteries in parallel.

thanks
 

Answers and Replies

  • #2
312
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Equivalent resistance wont help. Youve got 4 unknowns and need 4 equations. Theres enough information to use one junction equation and 3 loops. Make use of the inner loops, and use a matrix to avoid algebra mistakes whenever possible
 
  • #3
23
0
Equivalent resistance wont help. Youve got 4 unknowns and need 4 equations. Theres enough information to use one junction equation and 3 loops. Make use of the inner loops, and use a matrix to avoid algebra mistakes whenever possible
i tried that and i seem to just keep proving that I2=I2, I1=I1, etc....
 
  • #5
23
0
I worked on the loop equations more and found I1, I2, and I3 in terms of I.

I then substituted those into the I1+I2+I3=I equation getting a current (I) of .041 A leading to a deltaV of 8.1V.

Does this sound right? The Current was .137A when connected in series and the deltaV of the 200 ohm resistor was 27.4V.

Thanks
 

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