Magnetic Fields & Electromagnetism

A negative charge is moving to the right in a uniform magnetic field that points upwards. What is the direction of the magnetic force on the charge?

A proton with a charge of $1.6 \times 10^{-19} C$ moves with a velocity of $\vec{v} = (2 \times 10^5 m/s) \hat{i}$ in a region with an electric field $\vec{E} = (100 V/m) \hat{j}$ and a magnetic field $\vec{B} = (0.5 T) \hat{k}$. Calculate the net force vector on the proton.

A positive charge is moving with a velocity $\vec{v}$ perpendicular to the position vector $\vec{r}$. According to the right-hand rule, what is the direction of the magnetic field at the location specified by $\vec{r}$?

Two identical positive charges are moving with the same speed $v$. Charge 1 is located at (0, a, 0) and moving in the +x direction, and Charge 2 is located at (0, -a, 0) and moving in the +x direction. What is the direction of the net magnetic field at the origin (0, 0, 0)?

An electron ($q = -1.6 \times 10^{-19} C$) moves with a velocity $\vec{v} = (3 \times 10^6 m/s) \hat{i}$ in a uniform magnetic field $\vec{B} = (0.2 T) \hat{j}$. Calculate the magnetic force vector acting on the electron.

A proton moves through a region with a spatially varying magnetic field given by $\vec{B} = (x^2 \hat{i} + y \hat{j}) T$. If the proton's velocity is $\vec{v} = v_0 \hat{k}$, what is the magnetic force on the proton when it is located at (1, 1, 0)?

A charged particle moves with a constant velocity through a region where both electric and magnetic fields are present. If the electric and magnetic forces on the particle are in opposite directions, what can be said about the net force on the particle?

An electron moves through perpendicular electric and magnetic fields. The electric field is $100 V/m$ and the magnetic field is $0.5 T$. What velocity must the electron have to pass through undeflected?

In the Hall effect, a magnetic field is applied perpendicular to a current-carrying conductor. What is the primary result of this effect?

A conductor with a width of 0.1 m carries a current density of $5 A/m^2$ in a magnetic field of 2 T. If the Hall voltage is measured to be 1 mV, what is the Hall coefficient?