A hollow sphere with charge Q has a radius R. What is the electric field at a po

Practice Questions

Q1
A hollow sphere with charge Q has a radius R. What is the electric field at a point inside the sphere?
  1. Q/(4πε₀R²)
  2. 0
  3. Q/(4πε₀R)
  4. Q/(2πε₀R²)

Questions & Step-by-Step Solutions

A hollow sphere with charge Q has a radius R. What is the electric field at a point inside the sphere?
  • Step 1: Understand that we have a hollow sphere with charge Q and radius R.
  • Step 2: Recognize that we want to find the electric field at a point inside this hollow sphere.
  • Step 3: Recall that electric fields are affected by the distribution of charge around them.
  • Step 4: Note that the hollow sphere has charge only on its surface, and there is no charge inside it.
  • Step 5: Use Gauss's law, which states that the electric field inside a closed surface with no charge inside is zero.
  • Step 6: Conclude that because there is no charge inside the hollow sphere, the electric field at any point inside the sphere is zero.
  • Gauss's Law – The electric field inside a hollow conductor is zero due to the symmetrical distribution of charge.
  • Electric Field – Understanding how electric fields behave in different charge distributions, particularly in conductors.
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