A hollow sphere has a charge +Q distributed uniformly on its surface. What is th

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Question: A hollow sphere has a charge +Q distributed uniformly on its surface. What is the electric field at a point inside the sphere?

Options:

Correct Answer: 0

Solution:

The electric field inside a hollow charged sphere is zero due to symmetry.

A hollow sphere has a charge +Q distributed uniformly on its surface. What is the electric field at a point inside the sphere?

A hollow sphere has a charge +Q distributed uniformly on its surface. What is the electric field at a point inside the sphere?

Step 1: Understand that the hollow sphere has a charge +Q on its surface.
Step 2: Recognize that the charge is distributed uniformly, meaning it is spread out evenly over the surface.
Step 3: Consider a point inside the hollow sphere. This point is not on the surface or outside the sphere.
Step 4: Use the principle of symmetry: the charges on the surface of the sphere create electric fields that point outward.
Step 5: Realize that for every charge on one part of the sphere, there is an equal and opposite charge on the opposite side of the sphere.
Step 6: Since these electric fields from opposite sides cancel each other out, the total electric field at any point inside the hollow sphere is zero.
Step 7: Conclude that the electric field inside a hollow charged sphere is zero.

Gauss's Law – The electric field inside a hollow conductor is zero due to the uniform distribution of charge and symmetry.
Electric Field – Understanding how electric fields behave in relation to charged objects, particularly in hollow spheres.