Electrostatics Question 4
Question 4 - 2024 (27 Jan Shift 1)
An electric charge $10^{-6} \mu C$ is placed at origin $(0,0) m$ of $X-Y$ co-ordinate system. Two points $P$ and $Q$ are situated at $(\sqrt{3}, \sqrt{3}) m$ and $(\sqrt{6}, 0) m$ respectively. The potential difference between the points $P$ and $Q$ will be :
(1) $\sqrt{3} V$
(2) $\sqrt{6} V$
(3) $0 V$
(4) $3 V$
Show Answer
Answer: (3)
Potential difference $=\frac{K Q}{r _1}-\frac{K Q}{r _2}$
$r _1=\sqrt{(\sqrt{3})^{2}+(\sqrt{3})^{2}}$
$r _2=\sqrt{(\sqrt{6})^{2}+0}$
As $r _1=r _2=\sqrt{6} m$
So potential difference $=0$
