Gujarati
2. Electric Potential and Capacitance
hard

Six point charges are kept at the vertices of a regular hexagon of side $L$ and centre $O$, as shown in the figure. Given that $K=\frac{1}{4 \pi \varepsilon_0} \frac{q}{L^2}$, which of the following statement $(s)$ is (are) correct?

$(A)$ the elecric field at $O$ is $6 K$ along $O D$

$(B)$ The potential at $O$ is zero

$(C)$ The potential at all points on the line $PR$ is same

$(D)$ The potential at all points on the line $ST$ is same.

A

$(A,B,C)$

B

$(A,B,D)$

C

$(A,C,D)$

D

$(B,C,D)$

(IIT-2012)

Solution

$E _0=6 K \text { (along } OD \text { ) } $

$V _0=0$

Potential on line $PR$ is zero Ans. $(A), (B), (C)$

Standard 12
Physics

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