Fields Flashcards
Direction of the field
Gravitational- direction of the force on a small test mass at that point
Electric- direction of a force on a positive charge at that point
Magnetic- direction of force in a magnetic North Pole
Radial field
Directed towards centre
Diverges
Strength of field decreases as density of lines decreases
Uniform field
Lines are equally spaced and parallel
Same magnitude and direction throughout
Near field limit
Newton’s law of gravitation
F= GMm/ r^2
Gravitational constant
6.67 x 10^-11 Nm^2kg^-2
Relationship T and r
Kepler’s law
T^2 proportional to r^3
T^2 = 4pi^2/ GM r^3
As r increases …
Speed of satellite decreases (v = GM/r)
Period of satellite increases
Geosynchronous orbit
Period of 24 hours
Or it’s above the equator
Or it’s in the same direction as the Earth’s rotation
Geosynchronous satellites in communication
Dish can be pointed at a fixed point (does not have to track)
Dishes needed as the weak signal can be collected across the area of the disc and focussed on the receiving antenna
Gravitational field strength
g = GM/r^2
Gravitational potential
V =-GM/r
Scalar
Units = J/kg
V at infinity
0
Work (gravitational)
W = mdV
Away = positive
Towards =negative
Gravitational potential energy
U= -GMm/r
Kinetic energy
Ek= GMm/2r
Total energy (gravitational)
Et = -GMm/2r
Negative
Increasing Et
Gains energy, less negative, r increases
Escape velocity
Root (2gR)
Coulomb’s law
F = Qq/4pi epsilon r^2
Positive
Repulsive
Epsilon 0
Permittivity of free space
Ease of setting up an electric field
8.85 x10^-12
Similarities between gravitational and electric fields
Inverse square law for forces
Non contact forces
Infinite range
Difference gravitational and electric fields
Electric acts on changes, gravitational on masses
Gravitational is attractive whereas electric can be attractive or repulsive