Question

The potential difference across $8$ ohm resistance is $48$ volt as shown in the figure. The value of potential difference across $X$ and $Y$ points will be

• A. 160 volt
• B. 128 volt
• C. 80 volt
• D. 62 volt

Answer 1

Answer: (A)

The given circuit can be redrawn as follows

Resistance between $A$ and $B=\frac{24 \times 8}{32}=6\, \Omega$
Current between $A$ and $B=$ Current between $X$ and $Y$
$=i=\frac{48}{6}=8 \,A$
Resistance between $X$ and $Y$
$=(3+10+6+1)=20\, \Omega$
$\Rightarrow $ Potential difference between $X$ and $Y$
$=8 \times 20=$ $160\, V$