Solve

Guides

0

You visited us 0 times! Enjoying our articles? Unlock Full Access!

Electric Potential at a Point in Space Due to a Point Charge Q

Question

Calculate the electric potential at the center of the square :

0
$k \frac{2 q}{s^{2}}$
$k \frac{4 q}{s^{2}}$
$k \frac{(4 \sqrt{2}) q}{s}$
$k \frac{4 q}{s}$

A

k \frac{4 q}{s}

B

0

C

k \frac{2 q}{s^{2}}

D

k \frac{4 q}{s^{2}}

E

k \frac{(4 \sqrt{2}) q}{s}

Open in App

Solution

Verified by Toppr

Let the distance between each corner and the center of square be $x$ .
$∴$ $s^{2} = x^{2} + x^{2}$ $⟹ x = \frac{s}{\sqrt{2}}$
Potential at the center due to charge at corner 1, $V_{1} = \frac{k q}{x} = \frac{\sqrt{2} k q}{s}$
The square is symmetric about its center.
Thus total potential at the center $V = 4 V_{1} = k \frac{4 \sqrt{2} q}{s}$

Was this answer helpful?

2

Similar Questions

Q1

Calculate the electric potential at the center of the square :

View Solution

Q2

Calculate the electric potential at the center of the square in figure.

View Solution

Q3

Four point charge

- Q, - q, 2 q

and

2 Q

are placed.one at each corner of the square.The relation between Q and q for which the potential at the center of square is zero is

View Solution

Q4

If one of the roots of the equation

x^{2} + r x - s = 0

is the square of other, then

r^{3} + s^{2} + 3 s r - s =

View Solution

Q5

Calculate the stopping potential

V_{s 2}

View Solution