Question

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For the following series circuit, compute the power in R1, R2, and R3 if the circuit values are E = 24 volts, R1 = 8, R2= 12, and R3 = 28.

Power in R1 = ____ watts

Power in R2 = _____ watts

Power in R3 = _____ watts

Compute the total power delivered to the circuit by the 24-volt battery: _____ watts

Answer 1

Power = potential difference across resistance * current
P= i^2 * R
i = E/ equivalent resistance

Since all resistance are in series

Equivalent resistance = 8+12+28= 48

i = 24/48
i= 0.5

Power in R1= 0.5*0.5*8
= 2 watt

Power in R2= 0.5*0.5*12
= 3 watt

Power in R3= 0.5*0.5*28
= 7 watt

Answer 2

Power in R1 = 2 watts

Power in R2 = 3 watts

Power in R3 = 7 watts

Compute the total power delivered to the circuit by the 24-volt battery: 12 watts