A voltage source and two resistors are connected in parallel as in the given circuit. Suppose that \V_{ \s }= 150 \V , \R _{1}=50 \\Omega and \R _{2}=25 \\Omega. Find the currents i _{1} and i _{2} in each resistor.

Correct Answer is : i1=3A and i2=−6A

SSE JE Electrical Engineering 24 March 2021 Shift 1 Paper

Question : 169 of 200

Marks: +1, -0

A voltage source and two resistors are connected in parallel as in the given circuit. Suppose that

\V_{ \s }= 150 \V , \R _{1}=50 \Ω

and

\R _{2}=25 \Ω

. Find the currents

i _{1}

and

i _{2}

in each resistor.

Solution:

Given

\V _{ \s }=150 \V , \R _{1}=50 \Ω, \R _{2}=25 \Ω

Since voltage parameter in parallel connected elements is same.

\V _{ \s }= \V _{1}= \V _{2}=150 \V

∴i _{1}= \V _{1} / \R _{1}=150 / 50= 3 \A

Since the direction of the arrow mentioned is in opposite direction to the actual current flow

i_2

is considered as negative.

i _{2}=- \V _{2} / \R _{2}=-150 / 25=- 6 \A

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