CHARGE AND CURRENT

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  • Created by: CPev3
  • Created on: 28-05-20 22:28

Electric current

  • Rate of flow of charge
  • Flow of electrons in metals/ ions in electrolytes
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Electric current equation

I = Q / t

  • I = electric current
  • Q = charge transferred
  • t = time
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1 A

  • I C of charge passing a given point per 1 s
  • 1 Cs-1
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1 C

  • Electric charge passing a given point in 1 s when there is an electric current of 1 A
  • 1 As
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Relative charge

Electric charge measured as a multiples of the elementary charge

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Elementary charge

  • 1.6 x 10-19 C
  • Equivalent to the charge on a proton
  • Proton = +1e
  • Electron = -1e
  • Neutron = 0e
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Net charge

Electrons added = negative charge

Electrons removed = positive charge

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Q = ±ne

  • Q = net charge
  • n = number of electrons added or removed
  • elementary charge, 1.6 x 10-19 C

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The charge on an object is quantised (an integer multiple of e) 

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Structure of a metal

Lattice of positive ions surrounded by free electrons

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Positive ions vibrate around fixed points

Vibrate more vigorously as the temperature increases

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Free electrons attracted to the positive end of the wire

Move through the wire as an electric current

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What a larger current may be due to

  • Greater number of free electrons passing a given point per second
  • The same number of free electrons moving faster through the wire
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Conventional current

  • Direction in which positive charges would travel, from positive to negative
  • Opposite to the direction in which electrons would travel, from negative to positive
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Electrolyte

  • Liquid containing ions that are free to move and so to conduct electricity
  • Ionic solutions or molten ionic compounds

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  • Positive ions (cations) are attracted to the negative electrode (cathode)
  • Negative ions (anions) are attracted to the positive electrode (electrode)

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  • Movement of ions = flow of charge = electric current
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Ammeter

  • Measures current
  • Placed in series at the point where you want to measure the current
  • Ideal ammeter has zero resistance and so no effect on the current it measures
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Law of conservation of charge

  • Charge can neither be created nor destroyed
  • In any interaction the total charge before and after must be the same
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Kirchhoff's first law

ΣIin = ΣIout

Sum of currents into a point = sum of currents out of that point

Number of charge carriers entering = number of charge carriers leaving

Based on the law of conservation of charge

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Number density

Number of free electrons per cubic metre

Higher number density = better electrical conductor

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Conductors

  • High number density

Semiconductors

  • Lower number density than conductors
  • Electrons must move faster to carry the same current
  • Increases the temperature

Insulators

  • Low number density
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Electric current equation

I = Anev

  • I = electric current
  • A = cross-sectional area
  • n = number density
  • e = elementary charge, 1.6 x 10-19 C
  • v = mean drift velocity
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