115th 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 2 { I }_{ 2 } or (current of R 2 { R }_{ 2 } ) of the circuit.

Part One .

Check out the set: 2016 Problems .

This is part three of the problem.


The answer is 0.5.

Angela Fajardo by Angela Fajardo , 19, Philippines

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2 solutions

Viki Zeta
Jul 15, 2016

Resistance = 300 Ω \Omega

Therefore

V = I R ⟹ I = V R ⟹ I = 150 300 = 0.5 V = IR \\ \implies I = \frac{V}{R} \\ \implies I = \frac{150}{300} = \fbox{0.5}

1 Helpful 0 Interesting 0 Brilliant 0 Confused
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 2 = V T R 2 = 150 300 = 0.5 A I_2 = \dfrac{V_T}{R_2}\\ \\ = \dfrac{150}{300}\\ \\ = \color{#3D99F6}{\boxed{0.5 A}} .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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