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

In the given circuit, the current flowing through the resistance \(20\ \Omega\) is \(0.3 \mathrm{~A}\), while the ammeter reads \(0.9 \mathrm{~A}\). The value of \(\mathrm{R}_1\) is _______ \(\Omega\).

  1. A \(12\)
  2. B \(78\)
  3. C \(45\)
  4. D \(30\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(30\)

Step-by-step Solution

Detailed explanation

Given, \(i_1=0.3 \mathrm{~A}, \mathrm{i}_1+\mathrm{i}_2+\mathrm{i}_3=0.9 \mathrm{~A}\) So, \(\mathrm{V}_{\mathrm{AB}}=\mathrm{i}_1 \times 20 \Omega=20 \times 0.3 \mathrm{~V}=6 \mathrm{~V}\) \( \mathrm{i}_2=\frac{6 \mathrm{~V}}{15 \Omega}=\frac{2}{5} \mathrm{~A} \)…
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