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QJEEM23Phc8d6: JEE Main 2023 Physics - Class 12 JEEM23Phc8d6 Solution: The equivalent resistance of the circuit shown below between…

The equivalent resistance of the circuit shown below between points a and b is :

JEE Main 2023 (Online) 10th April Morning Shift Physics - Current Electricity Question 68 English

Multiple Choice Options

  • A 16 Ω\Omega
  • B 20 Ω\Omega
  • C 3.2 Ω\Omega
  • D 24 Ω\Omega

Step-by-Step Verified Solution

JEE Main 2023 (Online) 10th April Morning Shift Physics - Current Electricity Question 68 English Explanation 1
Rearranging the above circuit we get

JEE Main 2023 (Online) 10th April Morning Shift Physics - Current Electricity Question 68 English Explanation 2

The above circuit is a balanced wheatstone bridge there is no current in the branch cdc d .
JEE Main 2023 (Online) 10th April Morning Shift Physics - Current Electricity Question 68 English Explanation 3
So we have two 8Ω8 \Omega and one 16Ω16 \Omega resistor in parallel. If ReqR_{\mathrm{eq}} is equivalent resistance, then

amp;1Req=18+18+116=516amp;⇒Req=165=3.2Ω\begin{aligned}&\frac{1}{R_{\mathrm{eq}}}=\frac{1}{8}+\frac{1}{8}+\frac{1}{16}=\frac{5}{16} \\\\&\Rightarrow R_{\mathrm{eq}}=\frac{16}{5}=3.2 \Omega\end{aligned}

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