121st Problem 2016

Electricity and Magnetism Level 1

Given the parallel circuit above with the following values:

R 1 = 100 Ω R 2 = 300 Ω R 3 = 600 Ω V T = 150 V { R }_{ 1 }=100\Omega \\ \\ { R }_{ 2 }=300\Omega \\ \\ { R }_{ 3 }=600\Omega \\ \\ { V }_{ T }=150V

Find the P T { P }_{ T } (Total Power) of the circuit.

Part One .
Check out the set: 2016 Problems .
This is the last part of a problem.


The answer is 337.5.

Angela Fajardo by Angela Fajardo , 19, Philippines

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1 solution

Viki Zeta
Jul 19, 2016

1 r = 1 100 + 1 600 + 1 300 = 200 3 P = V 2 r = 15 0 2 200 3 = 337.5 \frac{1}{r}=\frac{1}{100}+\frac{1}{600}+\frac{1}{300}=\frac{200}{3}\\ P = \dfrac{V^2}{r}=\dfrac{150^2}{\frac{200}{3}}=337.5

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