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A hollow sphere has a charge Q distributed uniformly over its surface. What is t

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

Options:

  1. Q/(4πε₀R²)
  2. 0
  3. Q/(4πε₀)
  4. Q/(4πε₀R)

Correct Answer: 0

Solution:

Inside a hollow charged sphere, the electric field is zero due to symmetry.

A hollow sphere has a charge Q distributed uniformly over its surface. What is t

Practice Questions

Q1
A hollow sphere has a charge Q distributed uniformly over its surface. What is the electric field inside the sphere?
  1. Q/(4πε₀R²)
  2. 0
  3. Q/(4πε₀)
  4. Q/(4πε₀R)

Questions & Step-by-Step Solutions

A hollow sphere has a charge Q distributed uniformly over its surface. What is the electric field inside the sphere?
  • Step 1: Understand that the hollow sphere has a charge Q on its surface.
  • Step 2: Recognize that the electric field is a measure of the force that a charge would feel in a certain area.
  • Step 3: Note that the hollow sphere is symmetrical, meaning it looks the same from all directions.
  • Step 4: Realize that due to this symmetry, the electric field contributions from all parts of the sphere cancel each other out inside the sphere.
  • Step 5: Conclude that because of this cancellation, the electric field inside the hollow 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 in Conductors – In electrostatic equilibrium, the electric field inside a conductor is zero.
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