If a charge Q is uniformly distributed over a spherical surface of radius R, wha

Practice Questions

Q1
If a charge Q is uniformly distributed over a spherical surface of radius R, what is the electric field at a point inside the sphere?
  1. Q/(4πε₀R²)
  2. 0
  3. Q/(4πε₀R)
  4. Q/(4πε₀R³)

Questions & Step-by-Step Solutions

If a charge Q is uniformly distributed over a spherical surface of radius R, what is the electric field at a point inside the sphere?
  • Step 1: Understand that we have a spherical surface with a charge Q distributed evenly over it.
  • Step 2: Recognize that we are looking for the electric field at a point inside this spherical surface.
  • Step 3: Recall a key principle in electrostatics: for a uniformly charged spherical shell, the electric field inside the shell is zero.
  • Step 4: Conclude that since the point we are considering is inside the spherical surface, the electric field at that point is also zero.
  • Electric Field Inside a Spherical Shell – According to Gauss's law, the electric field inside a uniformly charged spherical shell is zero due to the symmetry of the charge distribution.
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