Question 689: Electrostatics & Capacitance

Question

A point charge of +12$\mu$C is at a distance 6 cm vertically above the centre of a square of side 12 cm as shown in figure. The magnitude of the electric flux through the square will be __________ $	imes$ 10
3
Nm
2
/C.
![](https://app-content.cdn.examgoal.net/fly/@width/image/1la268zx7/7f250c2f-c2db-4296-a7e1-c19ea2b904b4/ca0afab0-5c11-11ed-b429-1bdcfc436fa3/file-1la268zx8.png?format=png)

Accepted Answer

Given, charge, q = 12 $\mu$C = 12 $	imes$ 10
$-$6
C
Height of charge from surface, h = 6 cm = 6 $	imes$ 10
$-$2
m and side of square, a = 12 cm = 12 $	imes$ 10
$-$2
m
Using Gauss law, it is a part of cube of side 12 cm and charge at centre so;
$\phi  = {Q \over {6{\varepsilon _0}}} = {{12\mu c} \over {6{\varepsilon _0}}} = 2 	imes 4\pi  	imes 9 	imes {10^9} 	imes {10^{ - 6}}$
$ = 226 	imes {10^3}$ Nm
2
/ C

Electrostatics & Capacitance

A point charge of +12\muC is at a distance 6 cm vertically above the centre of a square of side 12 cm as shown in figure. The magnitude of the electric flux through the square will be __________ \times 10 3 Nm 2 /C.

Integer / Numeric Answer Type