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If a charge of +Q is uniformly distributed over a spherical shell of radius R, w

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Question: If a charge of +Q is uniformly distributed over a spherical shell of radius R, what is the electric field inside the shell?

Options:

  1. 0
  2. Q/4πε₀R²
  3. Q/ε₀R²
  4. Q/4πε₀

Correct Answer: 0

Solution:

By Gauss\'s law, the electric field inside a uniformly charged spherical shell is zero.

If a charge of +Q is uniformly distributed over a spherical shell of radius R, w

Practice Questions

Q1
If a charge of +Q is uniformly distributed over a spherical shell of radius R, what is the electric field inside the shell?
  1. 0
  2. Q/4πε₀R²
  3. Q/ε₀R²
  4. Q/4πε₀

Questions & Step-by-Step Solutions

If a charge of +Q is uniformly distributed over a spherical shell of radius R, what is the electric field inside the shell?
  • Step 1: Understand that we have a spherical shell with a charge of +Q evenly spread over its surface.
  • Step 2: Recall that the electric field is a measure of the force that a charge would feel in the presence of other charges.
  • Step 3: Remember Gauss's law, which states that the electric field can be determined by looking at the symmetry of the charge distribution.
  • Step 4: Recognize that inside a uniformly charged spherical shell, the charge on the shell does not create any electric field at points inside the shell.
  • Step 5: Conclude that the electric field inside the shell is zero because the contributions from all parts of the shell cancel each other out.
  • Gauss's Law – A fundamental principle in electrostatics that relates the electric field to the charge enclosed by a closed surface.
  • Electric Field Inside a Spherical Shell – The electric field inside a uniformly charged spherical shell is zero due to symmetry and the application of Gauss's law.
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