# Physics

Let n represent the number of similar resistors in a circuit. Each resistor has a resistance of r. When the resistors are connected in parallel the circuit has a total resistance of R. What would the total resistance of the circuit be if the resistors were instead connected in series?

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1. parallel= resistance= R=rEach/n

series= n*reach=n*n*R= n^2 R

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2. 1/R = n/r
so
R = r/n

in series R = n r

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