Electric and Gravitational Fields

Force Fields

An area where and object experiences a non contact force

Gravitational Fields

Newtons Law of gravitation

The force between two mases is directly proportional to the product of the mases and is inversely proportional to the separation squared image

Gravitational Field Strength

Force per unit mass exerted by a gravitational field image image

Gravitational Potential

Work done per unit mass when moving an object from infinity to that point image

Equipotentials

Lines with a gravitational field where the GP is constant

Orbits and Satellites :

Kepler's Law... The square of the orbital period is directly proportional to the cube of the radius image

Total energy = KE + PE

Escape Velocity

Minimum velocity it must travel at in order to escape the GF image

image

Synchronous Orbit -> Returns to the same point in the sky each day
Geostationary Orbit -> Directly in the same place above the equator
Low Orbit -> Faster than 24hrs, weather systems

Electrical Fields

Columbus Law

The force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance imageimage

Electrical Field Strength

Force per unit charge experienced by an object in an electrical field. imageimage

Capacitance

Capacitance is the charge stored by a capacitor per unit voltage image

Dielectrics

Polara molecules are molecules which have a positive and a negative end. When an electric field is present they will align themselves with the field image

image Where:
εr = Relative permittivity
ε = permittivity
ε0 = permittivity of free space

image

Energy stored by a capacitor is given by the area under a graph
image

Charging a Capacitor

When plotting current against time image

When plotting voltage against time image

When plotting charge against image

Discharging a Capacitor

When plotting current against time image

When plotting voltage against time image

When plotting charge against time image

Time constant = 0.37 of its inital

Time constant = 0.63 of its intial

Magnetic Fields

Magnetic Flux Density (B) is a measure of the strength of the field (Tesla) image

image

The field lines will always point from N > S image

Moving Charges within a Magnetic field

A force act on a charged particle when moving through a magnetic field image

Cyclotrons

Two dees, Hooked up to AC, this causes the particle to accelerate as it follows . Magnetic field passes through both of the Dees. This causes the particle to take a circular path. image

Flux Linkage

The density of magnetic field lines passing through a certain areaimage

Electric Field Strength -> The force per unit charge a positive test charge experiences at that point