Question

When three resistors are combined in parallel, the total resistance of the combination is __________. less...

When three resistors are combined in parallel, the total resistance of the combination is __________.

less than any of the individual resistance values
the average of the individual resistance values
greater than any of the individual resistance values

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Answer #1

The total resistance is always less than the smallest resistor in the parallel network so the total resistance, Req will always decrease as additional parallel resistors are added. If two or more resistances are connected in parallel , then the total or equivalent resistance is given by

1/Req=1/R1 +1/R2 +...... 1/Rn

In our case ,let the smallest resistance be R1 so 1/Req > 1/R1 because 1/Req=1/R1+1/R2+1/R3 which is always greater than 1/R1

So Req< R1(hence smaller than the smallest resistance)

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