What is the effect of increasing the radius of a spherical Gaussian surface encl

Practice Questions

Q1
What is the effect of increasing the radius of a spherical Gaussian surface enclosing a fixed charge?
  1. Electric field increases.
  2. Electric field decreases.
  3. Electric field remains constant.
  4. Electric field becomes zero.

Questions & Step-by-Step Solutions

What is the effect of increasing the radius of a spherical Gaussian surface enclosing a fixed charge?
  • Step 1: Understand that a spherical Gaussian surface is an imaginary sphere used to analyze electric fields.
  • Step 2: Recognize that the fixed charge inside the sphere creates an electric field around it.
  • Step 3: Know that the electric field strength decreases as you move further away from the charge.
  • Step 4: Realize that the total electric flux through the Gaussian surface depends only on the amount of charge inside, not the size of the surface.
  • Step 5: Conclude that even if the radius of the sphere increases, the total electric flux remains the same because the charge is fixed.
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