Each of the four circuits in the drawing consists of a single resistor whose res

Question

Each of the four circuits in the drawing consists of a single resistor whose resistance is either R or 2R, and a single battery whose voltage is either V or 2V. The unit of voltage in each circuit is V = 12  V and the unit of resistance is R = 7  ?. Determine (a) the power supplied to each resistor and (b) the current delivered to each resistor.

(a)

(b)

Each of the four circuits in the drawing consists of a single resistor whose resistance is either R or 2R, and a single battery whose voltage is either V or 2V. The unit of voltage in each circuit is V = 12 V and the unit of resistance is R = 7 ?. Determine (a) the power supplied to each resistor and (b) the current delivered to each resistor.

Explanation / Answer

For A)

Power = V^2/R = (12^2/7) = 20.6 W

Current is from P = I^2R

20.6 = (I^2)(7)

I = 1.71 Amps

For B)
P = 12^2/14 = 10.3 W

10.3 = I^2(14)

I = .857 A

For C

P = 24^2/7 = 82.3 W

82.3 = I^2(7)

I = 3.43 A

For D
P = 24^2/14 = 41.1 W

41.1 = I^2(14)

I = 1.71 A

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