4 point charges each +q is placed on the circumference of a circle of diameter 2d in, such a way that they form a square. The potential at the centre is

Question

4 point charges each +q is placed on the circumference of a circle of diameter 2d in, such a way that they form a square. The potential at the centre is (A) 0 (B)  (4q/d)  (C)  (4d/q)  (D)  (q/4d)

Tardigrade Admin · Accepted Answer

Potential at centre due to all charges are

= \frac{1}{4 π ε _{0}} [\frac{q}{d} + \frac{q}{d} + \frac{q}{d} + \frac{q}{d}]

= \frac{1}{4 π ε _{0}} \frac{4 q}{d}

in SI units

= \frac{4 q}{d}

in CGS units

Q. $4$ point charges each $+ q$ is placed on the circumference of a circle of diameter $2 d$ in, such a way that they form a square. The potential at the centre is

0

$\frac{4 q}{d}$

$\frac{4 d}{q}$

$\frac{q}{4 d}$

Potential at centre due to all charges are

$= \frac{1}{4 π ε _{0}} [\frac{q}{d} + \frac{q}{d} + \frac{q}{d} + \frac{q}{d}]$

$= \frac{1}{4 π ε _{0}} \frac{4 q}{d}$ in SI units
$= \frac{4 q}{d}$ in CGS units

Q. 4 point charges each +q is placed on the circumference of a circle of diameter 2d in, such a way that they form a square. The potential at the centre is

0

d4q​

q4d​

4dq​

Potential at centre due to all charges are =4πε0​1​[dq​+dq​+dq​+dq​] =4πε0​1​d4q​ in SI units =d4q​ in CGS units

Q. $4$ point charges each $+ q$ is placed on the circumference of a circle of diameter $2 d$ in, such a way that they form a square. The potential at the centre is

$\frac{4 q}{d}$

$\frac{4 d}{q}$

$\frac{q}{4 d}$

Potential at centre due to all charges are

$= \frac{1}{4 π ε _{0}} [\frac{q}{d} + \frac{q}{d} + \frac{q}{d} + \frac{q}{d}]$

$= \frac{1}{4 π ε _{0}} \frac{4 q}{d}$ in SI units
$= \frac{4 q}{d}$ in CGS units