Magnetic Fields and Forces

These flashcards encompass key vocabulary and concepts related to magnetic fields, forces, and their applications as discussed in the lecture notes.

Magnetic Force (FB)

FB = qvB Sinx, where FB is the magnetic force, q is the charge, v is the velocity, B is the magnetic field, and x is the angle between v and B.

Tesla

The SI unit for magnetic fields.

Right Hand Rule

A method to determine the direction of the magnetic field: point your fingers in the direction of the first vector, curl fingers toward the second vector, and your thumb points in the direction of the magnetic field.

Cyclotron Motion

Charged particles in uniform magnetic fields undergo uniform circular motion, where the radius depends on the speed of the particle and the magnetic field strength.

Biot-Savart Law

The law used to calculate the magnetic field generated by a point charge in motion.

Hall Effect

The phenomenon where a charge builds up on the edges of a conductor in a magnetic field, causing a measurable voltage.

Current in a Magnetic Field

A current-carrying wire in a magnetic field experiences a force; the net effect is a deflection of the wire.

Torque on a Current Loop

The torque experienced by a current loop in a magnetic field is given by the formula t = IAB Sin(θ), where I is the current, A is the area, and θ is the angle between the magnetic field and the normal to the loop.

Motion of Charges in a B-field

Charges exhibit helical paths when their velocity is split into components parallel and perpendicular to the magnetic field.

Magnetic Ion Trap

A device that utilizes magnetic fields, such as Earth's Van Allen Belts, to trap charged particles.

Electric Field (E)

An electric field's force on a charge is given by F = qE.

Magnetic Field (B)

The force on a charge moving in a magnetic field is given by F = qvxB.

Magnetic Monopoles

Hypothetical particles that have only one magnetic pole, which are theorized not to exist.

Cyclotron Radius Formula

R = mv/qB, where R is the radius of the circular path of a charged particle in a magnetic field.

Kinetic Energy and Magnetic Fields

In cyclotron motion, the kinetic energy of a particle remains constant as it moves in a magnetic field.

Charged Particle Dynamics in B-fields

Charged particles spiral around magnetic field lines, leading to phenomena such as auroras near Earth's poles.

Permeability of Free Space

A constant used in equations relating to magnetic fields, denoted as Mo = 4π × 10^{-7} T m/A.

Components of Magnetic Force

The magnetic force is always perpendicular to both the velocity of a charge and the magnetic field.