Electricity & Magnetism 2 Flashcards
Current
Rate of change of charge
Electric circuit
Charges follow conductive path that forms a closed loop
Electric potential energy transferred from a source to a device in which that energy is stored or converted
Electrons do not escape from metal as
They are attracted to its positive ions
With steady electric field E in the conductor, electric force F=qE imposes
A small drift in the direction of the force
Microscopic view of Ohm’s law
Electrons speed up nd colllide with stationary ions which vibrate around equilibrium position
Much electrical energy wasted as heat instead of moving electrons
Each collision randomly changes direction of motion
Net effect: in addition to radndom motion, there is a very slow net motion, drift velocity CONSTANT
Drift velocity
F=ma and F=qe gives a=qe/m
V=u+at but with mean free time
Drift velocity for E=0
Typical electron has V0 at random direction so average velocity over many electrons is zero
Drift velocity for E not =0
Electric field causes acceleration a=qE/m of every electron
Why is switching on a light almost instantaneous
Electric field in metal travels close to c so electrons everywhere start moving with drift velocity
Electron concentration
Conductor with n atoms per unit volume
n=Nap/A
=avogadro. Density/ atomic mass
Direction of drift
Constant velocity in direction opposite to E
Total charge through cross section A of conductor in time dt
dQ=nqAvddt
no= free charge per volume
Avddt= volume
Current is
I=dQ/dt=nqAvd =JA where J is current density
Current density
J=I/A
Conductivity (sigma)
Scalar depending on conductor material
Resistivity
1/conductivity ( unit ohm m)
Ohm’s law
J=signage=E/p
Does J change
Vector
Can vary around a circuit as A changes
Conductivity and thermal conductivity
Good electrical conductors are also good thermal conductors
Perfect conductor
Zero resistivity
Perfect insulator
Infinite resistivity
Greater resistivity,
Greater field needed to cause given current density
Non ohmic materials
Resistance has non linear response
Resistivity
Material property that is temperature dependent , increases with T for metal conductors
For a conductor to have steady state current
Must be part of path that forms a closed loop/complete circuit
Four components of electric circuit
Source of electrical power
Conductors (wire with low R)
A load
A means of control (etc)
In an electric circuit, charge moves
From higher to lower electric potential (similar to water in fountain due to gravity)
Source of emf causes charges to move against electrostatic force
Ideal source of emf
Maintains constant potential difference between conductors
Real sources of emf
Have different potential difference than E
Ring due to charge moving through material of the emf source
Voltaic cell
Voltage generated by connecting different metals in circuit due to different electronegativities
Daniel cell uses copper and zinc electrodes in electrolytes
Idealised voltmeter
Infinite,y large resistance so no current flow
Idealised ammeter
Zero resistance so no voltage drop associated with it
Closed circuit condition
R —>0
I—> E/Rint
Short circuit condition
R=0
Vab =0
I —> infinity for small Rint