Question

State whether the given statement is True or False :

Gauss' law is useful for the calculation of electrostatic field when the system doesn't possess any symmetry.

• A. True
• B. False

Answer 1

The correct option is B False

False.
Gauss's law, in integral form, relates the flux of the electric field through some closed surface S to the charge enclosed within the volume bounded by S.
${\oint }_{S}E.da=\frac{Q_{enc}}{{ϵ}_0}$
Because we do not know the electric field, Gauss's law is only useful when we can remove the electric field from the integral, which happens when the charge distribution displays certain spatial symmetries (spherical, cylindrical, planar). Therefore, Gauss's law is useful for the calculation of electrostatic field when the system possess symmetry.