Verified Solution • 2025–26 Session moderate

QJEEAdv15Ph5fa8: JEE Advanced 2015 Physics - Class 12 JEEAdv15Ph5fa8 Solution: In the following circuit, the current through the resistor R(=2 …

In the following circuit, the current through the resistor R(=2 Ω\Omega ) is I amperes. The value of I is :
JEE Advanced 2015 Paper 2 Offline Physics - Current Electricity Question 21 English

Step-by-Step Verified Solution

Consider the following figure:

JEE Advanced 2015 Paper 2 Offline Physics - Current Electricity Question 21 English Explanation 1

ACGA constitutes a Wheatstone bridge; hence, 8 Ω\Omega is redundant and hence can be removed. Therefore,

RAG=3×69= 2 Ω{R_{AG}} = {{3 \times 6} \over 9} = \,2\,\Omega

JEE Advanced 2015 Paper 2 Offline Physics - Current Electricity Question 21 English Explanation 2

AGDFA again constitutes a Wheatstone bridge 10 Ω\Omega which is redundant and hence can be removed.

RAB=6×1824=4.5  Ω{R_{AB}} = {{6 \times 18} \over {24}} = 4.5\,\,\Omega

JEE Advanced 2015 Paper 2 Offline Physics - Current Electricity Question 21 English Explanation 3

I=6.56.5=1 AI = {{6.5} \over {6.5}} = 1\,A

Related Learning Resources & Exam Preparation