Question:
In the electrical network shown in the figure, the potential difference across 3 $Ω$ resistance will be
In the electrical network shown in the figure, the potential difference across 3 $Ω$ resistance will be
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In the electrical network shown in the figure, the potential difference across 3 $Ω$ resistance will be \includegraphics[width=0.5\linewidth]2phy.png \labelfig:placeholder
Updated On: Apr 15, 2026
- 12 V
- 2.4 V
- 24 V
- 36 V
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The Correct Option is C
Solution and Explanation
Step 1: Concept
Use the current distribution law in parallel circuits and Ohm's law ($V=IR$).
Step 2: Resistance Analysis
As $3\Omega$ and $6\Omega$ resistances are in parallel, equivalent resistance is $2\Omega$. This $2\Omega$ and $4\Omega$ are in series, giving $R_{eq} = 6\Omega$.
Step 3: Current Calculation
Total current $i_1 = \frac{12 \times 18}{18} = 12 A$. This enters the parallel combination. Using current distribution for the $3\Omega$ branch: $i = 8 A$.
Step 4: Potential Difference
$$V = i \times R = 8 \times 3 = 24 V$$
Final Answer: (C)
Use the current distribution law in parallel circuits and Ohm's law ($V=IR$).
Step 2: Resistance Analysis
As $3\Omega$ and $6\Omega$ resistances are in parallel, equivalent resistance is $2\Omega$. This $2\Omega$ and $4\Omega$ are in series, giving $R_{eq} = 6\Omega$.
Step 3: Current Calculation
Total current $i_1 = \frac{12 \times 18}{18} = 12 A$. This enters the parallel combination. Using current distribution for the $3\Omega$ branch: $i = 8 A$.
Step 4: Potential Difference
$$V = i \times R = 8 \times 3 = 24 V$$
Final Answer: (C)
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