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Question: Answered & Verified by Expert
The magnitude and direction of the current in the circuit shown will be
PhysicsCurrent ElectricityVITEEEVITEEE 2011
Options:
  • A $7 / 3$ A from a to $\mathrm{b}$ through $\mathrm{e}$
  • B $7 / 3 \mathrm{~A}$ from $\mathrm{b}$ to a through $\mathrm{e}$
  • C $1 \mathrm{~A}$ from $\mathrm{b}$ to a through $\mathrm{e}$
  • D $1 \mathrm{~A}$ from a to b through $\mathrm{e}$
Solution:
2592 Upvotes Verified Answer
The correct answer is: $1 \mathrm{~A}$ from a to b through $\mathrm{e}$
The current in the circuit will be clockwise Since $\mathrm{E}_{1}(10 \mathrm{~V})>\mathrm{E}_{2}(4 \mathrm{~V})$


Applying Kirchhoff's junction rule
$$
\begin{array}{l}
-1 \times i-10-4 \times-2 \times i-3 i=0 \\
i=1 \mathrm{~A} \quad \text { (a to b via e) }
\end{array}
$$
Current $\mathrm{I}=\frac{V}{R}=\frac{10-4}{6}=1 \mathrm{~A}$

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