When two unknown resistors are connected in series with a battery, the battery d

Question

When two unknown resistors are connected in series with a battery, the battery delivers 235 W and carries a total current of 5.00 A. For the same total current, 45.0 W is delivered when the resistors are connected in parallel. Determine the values of the two resistors. When two unknown resistors are connected in series with a battery, the battery delivers 235 W and carries a total current of 5.00 A. For the same total current, 45.0 W is delivered when the resistors are connected in parallel. Determine the values of the two resistors.

(higher resistance)
(lower resistance)

Explanation / Answer

P = i^2 Req

Req = 9.4 ohms(series)

P = i^2 Req

Req(parallel) = 1.8 ohms

R1R2/(R1 + R2) = 1.8

we know R1 + R2 = 9.4

R1R2 = 16.92

theefore R1 - R2 = 4.5475 ohms

now R1 = 6.9797ohms

R2 = 2.426 ohms

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