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Postby TGTS0907129» Resistors in parallel

Describe the resistors in parallel


Suppose that a box contain a group of three resistors in parallel, of resistance R1, R2  and R3. the resistance of the combination will be R=V/I, where V is the voltage across the terminals of box and I is the total current in it. Since the voltage across each of the resistors is V, the voltage across the terminals of the box, the currents in the individual resistors are
I1 = V/R1          I2 = V/R2         I3 = V/R3  

The sum of these three currents must be the total current I, so that
I = I1 + I2 + I3
or,  I = V/R1 + V/R2 + V/R3

This can be written
I = V(1/R1 + 1/R2 + 1/R3 )
or,  I/V = V/R1 + V/R2 + V/R3  

Since V/I = R, we known that I/V = 1/R so that
I/R = V/R1 + V/R2 + V/R3

By TGTT30071258 on 10/4/2015 11:06:42 PM
TGTS0907129 on 9/30/2015 12:53:21 AM

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