Magnetism and Electromagnetism

How does increasing the velocity of a moving charge affect the strength of the magnetic field it produces?

A positive charge is moving to the right. At a point above the charge, the position vector points upwards. According to the right-hand rule, what is the direction of the magnetic field at that point?

Two positive charges, A and B, are moving with the same velocity $v$ parallel to each other. At a point equidistant from both charges, the magnetic field due to charge A points into the page, and the magnetic field due to charge B also points into the page. What is the direction of the net magnetic field at that point?

A proton with a charge $q$ moves perpendicularly through a uniform magnetic field $B$ with a velocity $v$. What is the magnitude of the magnetic force acting on the proton?

A charged particle moves with velocity $v$ in a magnetic field $B$. If the angle between $v$ and $B$ is 0 degrees, what is the magnitude of the magnetic force on the charge?

A charged particle moves at an angle $\theta$ relative to a magnetic field. If $\theta$ is neither 0, 90, nor 180 degrees, how does the magnetic force change as $\theta$ increases from just above 0 degrees to just below 90 degrees?

A positive charge moves with a velocity $v$ and has a position vector $r$. If $v$ and $r$ are orthogonal, and the resulting magnetic field is $B$, how would the direction of $B$ change if $v$ was rotated 45 degrees towards $r$?

A positive charge moves through a region with both electric and magnetic fields. The electric field exerts a force of 8 N upwards, and the magnetic field exerts a force of 6 N to the right. What is the magnitude of the net force on the charge?

In the Hall effect, what is the fundamental reason for the creation of a potential difference across the conductor?

A rectangular conductor with width $w$ and thickness $t$ carries a current $I$ in a magnetic field $B$ that is perpendicular to the direction of the current. If the Hall voltage is $V_H$, and the charge carrier density is $n$, which of the following equations can be used to determine the magnetic field strength?