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