6. Electricity and Magnetism
Gauss Law — Quiz
Test your understanding of gauss law with 5 practice questions.
Practice Questions
Question 1
A non-conducting sphere of radius $R$ has a total charge $Q$ uniformly distributed throughout its volume. Which of the following expressions correctly gives the magnitude of the electric field at a distance $r$ from the center of the sphere, where $r < R$?
Question 2
A long, straight, uniformly charged non-conducting cylinder of radius $R$ has a linear charge density of $\lambda$. Which of the following expressions correctly gives the magnitude of the electric field at a distance $r$ from the axis of the cylinder, where $r > R$?
Question 3
Two large, parallel, conducting plates are separated by a small distance. If one plate has a surface charge density of $+\sigma$ and the other has $-\sigma$, what is the magnitude of the electric field in the region between the plates?
Question 4
A spherical shell of inner radius $a$ and outer radius $b$ carries a uniform volume charge density $\rho$. Which of the following expressions correctly gives the magnitude of the electric field at a distance $r$ from the center such that $a < r < b$?
Question 5
A solid non-conducting sphere of radius $R$ has a total charge $Q$ uniformly distributed throughout its volume. What is the electric potential at the center of the sphere, assuming the potential at infinity is zero?