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resistors, each of resistance are connected in series to a battery of emf and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased times. The value of is:
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When the resistors are connected in series with the battery, the equivalent resistance can be written as
Hence, the current is given by
When the resistors are connected in parallel, the equivalent resistance is given by
Hence, the current is given by
Divide equation (4) by equation (2) to obtain the required value of the multiplier .
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