Question

Inside a hollow conducting sphere:
A. electric field is zero
B. electric field is a non-zero constant
C. electric field changes with magnitude of the charge given to the conductor
D .electric field changes with distance from the center of the sphere

Answer 1

Hint: Gauss' law makes it conceivable to discover the circulation of electric charge: The charge in some random area can be reasoned by coordinating the electric field to discover the motion. Inside the hollow conducting sphere, the electric field is zero.

Complete answer:
The correct answer is A.
Using Gauss' Law,
∫ $E.dS=\dfrac{q}{{{\varepsilon }_{0}}}$
Consider a hollow conducting sphere of radius R.
To find the electric field at a point inside electric field, consider a gaussian sphere of radius $r(rUsing Gauss' Law, we get \[E(4\pi {{r}^{2}})=\dfrac{q}{{{\varepsilon }_{0}}}$
Since charge enclosed within the gaussian surface is zero. So, E inside the gaussian surface is also zero.
The converse issue (when the electric charge dispersion is known and the electric field must be registered) is significantly more troublesome.
The absolute transition through a given surface gives little data about the electric field, and can go all through the surface in subjectively muddled examples.
A special case is if there is some balance in the issue, which commands that the electric field goes through the surface in a uniform manner. At that point, if the all-out transition is known, the field itself can be concluded at each point.
Basic instances of balances which loan themselves to Gauss' law include: tube shaped balance, planar balance, and round evenness. See the article Gaussian surface for models where these balances are abused to register electric fields.

Note: The electric charge that emerges in the simplest course book circumstances would be delegated "free charge"— for instance, the charge which is moved in friction-based electricity, or the charge on a capacitor plate. Conversely, "bound charge" emerges just with regards to dielectric (polarizable) materials. (All materials are somewhat polarizable.)
When such materials are put in an outer electric field, the electrons stay bound to their particular molecules, however move an infinitesimal separation in light of the field, with the goal that they're more on one side of the particle than the other. All these minute removals signify a naturally visible net charge dissemination, and this establishes the "bound charge".