In the circuit shown, if a conducting wire is connected between points $\mathrm{A}$ and $\mathrm{B}$, the…

In the circuit shown, if a conducting wire is connected between points $\mathrm{A}$ and $\mathrm{B}$, the current in this wire will:
  1. flow from $B$ to $A$
  2. flow from $A$ to $B$
  3. flow in the direction which will be decided by the value of $V$
  4. be zero

Solution

According to diagram
$\begin{array}{l}
V_A-V_B=\left[V-\left(\frac{V}{8} \times 4\right)\right]-\left[V-\left(\frac{V}{4} \times 1\right)\right] \\
=-\frac{V}{2}+\frac{V}{4}=-\frac{V}{4}
\end{array}$
$\Rightarrow V_B > V_A .$

Asked in: NEET 2006

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