A A 81.9-? resistor is connected in parallel with a 133.1-? resistor. This paral

Question

A

A 81.9-? resistor is connected in parallel with a 133.1-? resistor. This parallel group is connected in series with a 28.1-? resistor. The total combination is connected across a 19.3-V battery. Find (a) the current and (b) the power dissipated in the 133.1-? resistor.

(a) Number Units No unitssmm^2kgJWAC A 81.9-? resistor is connected in parallel with a 133.1-? resistor. This parallel group is connected in series with a 28.1-? resistor. The total combination is connected across a 19.3-V battery. Find (a) the current and (b) the power dissipated in the 133.1-? resistor. Number Units Number Units

Explanation / Answer

Equivalent resistance

81.9 and 133.1 ohm are in parallel

81.9*133.1/(81.9+133.1) =50.7ohms

50.7 ohms in series with 28.1 ohms

Req =50.7+28.1

Req =78.8 ohms

Total current

I=V/Req =19.3/78.8

I=0.245 A

a)

By current division rule

I(133.1) =I*(81.9/81.9+133.1)

I(133.1) =0.381*0.245

I(133.1) =0.0933 A

b)

P=I^2*R

P=0.0933^2*133.1

P=1.16 W

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