A battery of $emf$ $10\,V$ is connected to resistances as shown in the figure. The potential difference between $A$ and $B,\,\,(V_A -V_B)$ is ................ $V$
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Current in each branch $=\frac{10}{4}=2.5 \mathrm{\,A}$

$\mathrm{V}_{\mathrm{C}}-\mathrm{V}_{\mathrm{A}}=2.5 \times 1$          ..........$(i)$

$\mathrm{V}_{\mathrm{C}}-\mathrm{V}_{\mathrm{B}}=2.5 \times 3$          ............$(ii)$

eq. $(ii)$ $-$ $(i)$

$V_{A}-V_{B}=2.5(3-1)=5 \mathrm{\,V}$

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