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JEE Mains · Physics · STD 12 - 3. current electricity

The equivalent resistance between the points \(A\) and \(B\) in the following circuit is \(\frac{x}{5} \Omega\). The value of \(x\) is ___________.
image

  1. A 15
  2. B 21
  3. C 10
  4. D 25
Verified Solution

Answer & Solution

Correct Answer

(B) 21

Step-by-step Solution

Detailed explanation

\(6i_{1} + 3(2i_{1} - i) = 3(i - i_{1})\) \(\Rightarrow 15i_{1} = 6i \Rightarrow i_{1} = \frac{2}{5}i\)\(\quad\) ___(1) \(3(i - i_{1}) + 6i_{1} = 1\) \(3i + 3i_{1} = 1\) \(\Rightarrow i =\frac{5}{21} A=\frac{1 V}{ R _{ eq }} \Rightarrow R _{ eq }=\frac{21}{5} \Omega\)
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