Question

The potential difference across $8\Omega$ resistance is $48V$ as shown in figure. the value of potential difference across $X$ and $Y$ point will be:-

• A. $168V$
• B. $100V$
• C. $152V$
• D. $48V$

Answer 1

The correct option is C $152V$

Here the circuit is of 3 sections,

1 comprising of $48\Omega$ and $24\Omega$,

2 compromising of $60\Omega ,30\Omega ,10\Omega$

3 comprising of $3\Omega$,

We know,

Potential difference across Section 1$=48V$

Total current in section 1=current in section 2=current in section 3,

The total current in section 1$=\frac{48}{8}+\frac{48}{24}=8A$

Potential difference in section 2$=8A\times R_{eq}=8\times 10=80V$

Potential difference across Section 3$=3\Omega \times 8A=24V$

Total potential difference across $X,Y=80+48+24=152V$

Option $\text{C}$ is the correct answer