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KCET · Physics · Magnetic Properties of Matter

The power dissipated in \( 3 \Omega \) resistance in the following circuit is

  1. A \( 0.75 \mathrm{~W} \)
  2. B \( 0.25 \mathrm{~W} \)
  3. C \( 1 \mathrm{w} \)
  4. D \( 0.5 \mathrm{~W} \)
Verified Solution

Answer & Solution

Correct Answer

(A) \( 0.75 \mathrm{~W} \)

Step-by-step Solution

Detailed explanation

The given figure is as follows:

Equivalent resistance of
\( R_{1} \)
\( R_{3} \)
\( R=\frac{3 \times 6}{3+6}=2 \Omega \)
Equivalent resistance of
and
\( R \)
\( R_{2} \)
\( R^{\prime}=2+2=4 \Omega \)
Equivalent resistance of \( R^{\prime} \) and
\( R_{a} \)