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Circuit question please help thanks?

How can I get the total resistance and the missing resistance of this circuit given the following data:

R1=18 R2=9

R3= 16

R4= 14

R5= 7

I2= 2.5A

And E=97.5v

<a href="http://www.flickr.com/photos/58829577@N03/85034172... title="1361728704750 by emorella, on Flickr"><img src="http://farm9.staticflickr.com/8516/8503417291_9d3a... width="500" height="375" alt="1361728704750"></a>

http://www.flickr.com/photos/58829577@N03/85034172...

1 Answer

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  • 8 years ago
    Favorite Answer

    i total = i of R2 + i of R1 = 2.5A + [(9/18)*(2.5A)] = 3.75 Amps

    R total = V/i = 97.5V/3.75A = 26 Ohms

    V of R6 = 97.5V - {[(2.5A)*(9 Ohm)] +[(3.75A)*(16 Ohm)]} = (97.5 - 22.5 - 60)V = 15 Volts

    15V/(R4 ll R5 ll R6) = 3.75 A

    R4 ll R5 = 4.667 Ohm

    15V/3.75A = R4 ll R5 ll R6 = 4 Ohm

    4.667 Ohm ll R6 = 4 Ohm

    R6 = 4 Ohm/[1 - (4/4.667)] = 28 Ohms

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