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JEE Main 202225 JulyEvening Shift

Exam: JEE Main
Year: 2022
Date: 25 July
Shift: Evening Shift
Subject: Physics
Chapter: Current Electricity

JEE Main 2022 · 25 July · Evening Shift · Physics · Current Electricity

A current of 15mA flows in the circuit as shown in figure. The...

A current of $15mA$ flows in the circuit as shown in figure. The value of potential difference between the points $A$ and $B$ will be

A current of 15mA flows in the circuit as shown in figure. The value of potential difference between the points A and B

Options

A $50V$
B $75V$
C $150V$
D $275V$

Correct answer

D. $275V$

Step-by-step solution

Using current division rule,
Current, ${i}_{1} = \dfrac{5}{10 + 5} \times 15mA = 5mA$
Now, using Kirchhoff's voltage law- in lower loop,
${V}_{A} - 5i - 10{i}_{1} - 10i = {V}_{B}$
Potential difference between $A$ and $B$ is ${V}_{A} - {V}_{B} = 75 + 50 + 150 = 275V$

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