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?
0
Q/4πε₀R²
Q/ε₀R²
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.
