Q146 / 180 · KCET 2017 · Physics
The power dissipated in \( 3 \Omega \) resistance in the following circuit is
- Correct answerA\( 0.75 \mathrm{~W} \)
- B\( 0.25 \mathrm{~W} \)
- C\( 1 \mathrm{w} \)
- D\( 0.5 \mathrm{~W} \)
Solution
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
\( R_{a} \)
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
\( R_{a} \)
Hence, the correct answer is option: 'A'.