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.

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