2. Electromagnetism

Magnetostatics — Quiz

Test your understanding of magnetostatics with 5 practice questions.

Practice Questions

Question 1

A long, cylindrical conductor of radius $ R $ carries a uniform current density $ J $. Using Ampère's Law, what is the magnitude of the magnetic field $ B $ inside the conductor at a distance $ r < R $ from its axis?

Question 2

Consider a square loop of wire with side length $ a $ carrying a current $ I $. What is the magnitude of the magnetic field at the center of the square loop?

Question 3

A particle with charge $ q $ and mass $ m $ enters a region with a uniform magnetic field $ \vec{B} $ and a uniform electric field $ \vec{E} $. If the particle moves undeflected, what is the relationship between its velocity $ \vec{v} $, $ \vec{E} $, and $ \vec{B} $?

Question 4

A long solenoid has $ n $ turns per unit length and carries a current $ I $. A second, smaller coil with $ N $ turns and area $ A $ is placed inside the solenoid, with its axis aligned with the solenoid's axis. What is the magnetic flux $ \Phi_B $ through the smaller coil?

Question 5

Which of the following statements about the magnetic vector potential $ \vec{A} $ is INCORRECT?