A spherical shell of radius R carries a uniform surface charge density σ. What i

Practice Questions

Q1
A spherical shell of radius R carries a uniform surface charge density σ. What is the electric field inside the shell?
  1. 0
  2. σ/ε₀
  3. σ/2ε₀
  4. σ/4ε₀

Questions & Step-by-Step Solutions

A spherical shell of radius R carries a uniform surface charge density σ. What is the electric field inside the shell?
Correct Answer: 0
  • Step 1: Understand that we have a spherical shell with a radius R and it has a uniform surface charge density σ.
  • Step 2: Recall Gauss's law, which states that the electric field can be determined by the charge enclosed in a closed surface.
  • Step 3: Consider a point inside the spherical shell. Since the shell is uniformly charged, any point inside does not enclose any charge.
  • Step 4: Since there is no charge inside the Gaussian surface we choose (which is inside the shell), the electric field at that point must be zero.
  • Step 5: Conclude that the electric field inside the spherical shell is zero.
  • Gauss's Law – A principle 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.
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