Physics · Current Electricity

JEE Main 2024 — 6 April, Shift 1 — Question 39

The value of unknown resistance ( xx ) for which the potential difference between B and D will be zero in the arrangement shown, is :

Question figure
  1. Option A:

    3Ω3 \Omega

  2. Option B:

    9Ω9 \Omega

  3. Option C:

    6Ω6 \Omega

    Correct
  4. Option D:

    42Ω42 \Omega

Answer: C

Step-by-step solution

In case of balanced Wheatstone Bridge VABVAD=VBCVCD⇒126+x=0.50.5\frac{\mathrm{V}_{\mathrm{AB}}}{\mathrm{V}_{\mathrm{AD}}}=\frac{\mathrm{V}_{\mathrm{BC}}}{\mathrm{V}_{\mathrm{CD}}} \Rightarrow \frac{12}{6+\mathrm{x}}=\frac{0.5}{0.5}

x=6Ω\mathrm{x}=6 \Omega

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Current Electricity
Topic
Circuit Analysis, Kirchhoff's Law and Nodal Analysis
The value of unknown resistance ( x ) for which the potential… | JEE Main 2024 PYQ with Solution · DhiX AI