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AP EAMCET · PHYSICS · Current Electricity

In the circuit shown, if the current through the resistor \(R\) is \(\frac{1}{5} \mathrm{~A}\), the value of \(R\) is

  1. A \(2 \Omega\)
  2. B \(3 \Omega\)
  3. C \(5 \Omega\)
  4. D \(1 \Omega\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1 \Omega\)

Step-by-step Solution

Detailed explanation

According to the question, \( \begin{aligned} & \text { Now, equivalent emf, }=\frac{\frac{V_1}{R_1}-\frac{V_2}{R_2}}{\frac{1}{R_1}+\frac{1}{R_2}} \\ & \therefore \quad e=\frac{\frac{5}{2}-\frac{2}{1}}{\frac{1}{2}+\frac{1}{1}}=\frac{1}{3} \mathrm{~V} \end{aligned} \)…