If a charge of +Q is uniformly distributed over a spherical shell, what is the e

Practice Questions

Q1
If a charge of +Q is uniformly distributed over a spherical shell, what is the electric field inside the shell?
  1. 0
  2. Q/4πε₀r²
  3. Q/ε₀
  4. Q/4πε₀

Questions & Step-by-Step Solutions

If a charge of +Q is uniformly distributed over a spherical shell, what is the electric field inside the shell?
  • Step 1: Understand that a spherical shell is a hollow sphere with charge distributed evenly 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: Consider the symmetry of the spherical shell. Since the charge is evenly distributed, every point inside the shell feels the same force from the charges on the shell.
  • Step 4: Realize that for any point inside the shell, the forces from the charges on the shell cancel each other out due to symmetry.
  • Step 5: Conclude that because all the forces cancel, the total electric field inside the shell is zero.
  • Electric Field Inside a Spherical Shell – The electric field inside a uniformly charged spherical shell is zero due to the symmetry of the charge distribution.
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