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Define magnetic force.
The force exerted on a moving charge by a magnetic field.
What is the Lorentz force?
The total force on a charged particle due to both electric and magnetic fields: $\vec{F}_{net} = q\vec{E} + q(\vec{v} \times \vec{B})$.
Define Hall voltage.
The voltage difference created across a conductor due to the Hall effect, resulting from charge separation caused by a magnetic field.
Define magnetic field.
A field of force produced by a moving electric charge or a magnetic dipole.
What is the Hall effect?
The production of a voltage difference (Hall voltage) across an electrical conductor, transverse to an electric current in the conductor and a magnetic field perpendicular to the current.
In the diagram of the magnetic field of a moving charge, what do the circles represent?
The circles represent the magnetic field lines around the moving charge.
In the diagram of the Hall effect, what does $\Delta V_H$ represent?
$\Delta V_H$ represents the Hall voltage, the voltage difference created across the conductor due to the Hall effect.
In the Lorentz force diagram, what do $\vec{F}_E$ and $\vec{F}_B$ represent?
$\vec{F}_E$ represents the electric force, and $\vec{F}_B$ represents the magnetic force.
In the Hall effect diagram, what causes the accumulation of charges on one side of the conductor?
The magnetic force acting on the moving charges causes the accumulation of charges on one side of the conductor.
In the magnetic field of a moving charge diagram, what does the density of the field lines indicate?
The density of the field lines indicates the strength of the magnetic field; higher density means a stronger field.
What are the key differences between electric force and magnetic force on a moving charge?
Electric Force: Acts on charges whether they are moving or stationary, acts along the direction of the electric field. Magnetic Force: Acts only on moving charges, acts perpendicular to both the velocity and magnetic field.
Compare and contrast the force on a positive charge versus a negative charge in a magnetic field.
Positive Charge: The magnetic force direction is given directly by the right-hand rule. Negative Charge: The magnetic force direction is opposite to that given by the right-hand rule.
What are the differences between the magnetic field created by a single moving charge and the magnetic field created by a current-carrying wire?
Single Moving Charge: Creates a circular magnetic field around its direction of motion. Current-Carrying Wire: Creates a magnetic field that encircles the wire.
What is the difference between electric potential and Hall voltage?
Electric Potential: A scalar quantity representing the potential energy per unit charge at a point in an electric field. Hall Voltage: A voltage difference created across a conductor due to the Hall effect, resulting from charge separation caused by a magnetic field.
Compare and contrast the motion of a charged particle in a uniform electric field versus a uniform magnetic field.
Electric Field: The particle experiences a constant force in the direction of the field (or opposite if the charge is negative), resulting in constant acceleration. Magnetic Field: The particle experiences a force perpendicular to its velocity, causing it to move in a circular or helical path at constant speed.