Electricity

Static Electricity

  • 3 charge states
    • Positive, Neutral, Negative
    • Positive and Negative are the two types of charge: $+ve$ and $-ve$
    • Neutral - neutrinos, antineutrinos, neutrons i.e. fundamental particles that have no charge
      • atoms by definition are an uncharged species
  • Charge, like mass is a property of matter
    • An object of charge possesses an electric field around it which:
      • extends to infinity
      • results in other objects of charge experiencing an electric force when placed in the field
      • has an electric field which decreases with distance from the object
      • this force may be attraction or propulsion
  • If electrons are redistributed on an object to produce regions of different charge i.e. an electric dipole, then this is charging by induction. - the separation of charge is temporary and will reverse once the inducing charge is removed
    • If electrons are physically transferred then the loss/gain of charge is not temporary - this is charging by conduction

Electric Field Diagram

  • It is assumed that charge is uniformly distributed around a charged object
  • Field lines are evenly distributed around objection
  • minimum of four field lines
    • Must be an arrow going the right direction

Coulomb's Law

  • $Fe$ - the force of an electric field
    • It decreases inversely proportional to the square of the distance
  • $$Fe=\frac{k \space q_{1}q_2}{r^2}$$
    • $k$ is the constant of proportionality - $9.00\times10^9$
    • $q_{1}...$ are the two charged objects (in $c$ - Coulombs , which measure charge)
    • $r (d)$ is the distance between the two objects
  • Two point charges of $7.4mC$ and $6.4mC$ are $65.4cm$ apart. What is the force acting between them.
    • it is $1.00N$
      $24.6=\frac{x}{5.8081}$

Electric Circuits

  • Current is a flow of at least one electron
  • Conventional Current is the flow of $+ve$ charge, i.e. current
  • E circuits transform electrical energy into other forms of useful energy - thermal, electromagnetic/photonic

Minimum components for a circuit

  • Power pack i.e. source of energy/potential difference e.g. battery
  • Wire - conducting material made of a conductor
    • Devices/component/resistors

Potential Difference

  • When charge moves from one position to another, work is done on the change i.e. they have changed in their electric potential energy
    • $W=\Delta E$
    • $V=\frac{W}{q}$
    • $V=$ potential difference/voltage ($V$)
    • $W=$ work done (change in $Ep$) ($J$)
    • $q=$ charge ($C$)

Current

  • The amount of charge which flows past a given point in a given unit of time
    • $I=\frac{q}{\Delta t}$
    • $I=$ current in amperes ($A$)
    • $q=$ charge ($C$)
    • $\Delta t=$ time interval ($s$)
  • 3.01c 4.05m = 243s
  • $I=3.01/243$

The PRAC!

Series

  • Current is the same in every part of a series circuit
  • If more components (that is, resistors) are added, the effective current is reduced, but will still be the same everywhere
    • $I_{tot}=I_1=I_2=I_3$
    • $V=IR$
  • For a single component in series with the energy source, $V=emf$
  • If more components are added in series then the sum of their individual drops in voltage add up to the sum of the voltage drops across all of them
    • $V_{tot}=V_1+V_2+V_3$

Parallel

  • Current is divided among components in different branches
    • $I_{tot}=I_1+I_2+I_3$
  • Voltage is the same in each branch
    • $V_{tot}=V_1=V_2=V_3$

Ohm's law and resistance

  • Resistance is the measure of the difficulty with which charge moves through a medium ($\Omega$)
    • $V=IR$ such that $R=\frac{V}{I}$
  • Ohmic vs non-ohmic devices
    • y-axis is I (amps) and x is volts (V)
    • when the line is not linear it is non-ohmic

Series

  • Since total current is always equal,
  • and total voltage is the sum of individuals,
  • and $V=IR$,
    • $Re=R_1+R_2+R_3$

Parallel

  • since total voltage is the same
  • and total current is the sum of individuals,
  • and $V=IR$,
    • $\frac{1}{Re}=\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}$

Electrical Safety

  • Bird on power line - bird has more resistance than line, so current won't go through it
    • if it stands over both lines, then the circuit is completed by the bird (short-circuited), it is shocked
  • Fuses
    • some houses have fuses
    • Residual current devices - RCD - monitor current in active vs natural lines - might be different
    • Insulator - most devices have an insulation coating