116th 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 I 3 { I }_{ 3 } or (current of R 3 { R }_{ 3 } ) of the circuit.

Part One .

Check out the set: 2016 Problems .

This is part four of the problem.


The answer is 0.25.

Angela Fajardo by Angela Fajardo , 19, Philippines

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1 solution

Ashish Menon
Jul 15, 2016

Voltage in a parallel circuit is constant and the current across each resistance is given by V T R \dfrac{V_T}{R} .
So, I 3 = V T R 3 = 600 150 = 0.25 A I_3 = \dfrac{V_T}{R_3}\\ \\ = \dfrac{600}{150}\\ \\ = \color{#3D99F6}{\boxed{0.25 A}} .

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