Topic 5 - Electricity and Magnetism

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Coulomb's Force Law (unit: N)

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1

Coulomb's Force Law (unit: N)

The force between two point charges is proportional to the product of the charges and inversely proportional to their separation squared.

F = | q1q2 | / r² k = 1/4πε

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2

Electric field strength (unit: N/C = V/m)

The force per unit charge on a positive point charge.

E = F/q

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3

Electric potential (unit: J/C = V)

The work done by the electric field per unit charge

V = W/q

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4

Resistance (unit: Ω)

The ratio of the applied voltage to the resulting current.

R = V/I

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5

Electromotive Force (emf) (unit: V)

The energy, per unit charge, available to the entire circuit.

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6

Ohm's 1st law

When voltage is proportional to current (i.e. resistance is constant) we say Ohm's 1st law is satisfied (or we say the device is ohmic). E.g. a metal wire at constant temperature is ohmic.

When satisfied, V = RI

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7

Internal resistance (unit: Ω)

A constant resistance inside a cell, which leads to energy dissipation in the cell. Modeled as a resistance in series with an ideal emf , hence the terminal voltage of a cell is V = E-rI.

Note: Sometimes the above equation is also referred to as Ohm's 2nd law.

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8

Current (unit: A)

The amount of charge per unit time passing through a cross

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9

The copper wires and insulator are both exposed to an electric field. Discuss, with reference to charge carriers, why there is a significant electric current only in copper wires.

  • when an electric field is applied to any material «using a cell etc» it acts to accelerate any free electrons

  • electrons are the charge carriers «in copper»

  • metals/copper have many free electrons whereas insulators have few/no free electrons/charge carriers

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10

Explain, in terms of electrons, what happens to the resistance of the cable as the temperature of the cable increases

  • «as temperature increases» there is greater vibration of the metal atoms/lattice/lattice ions OR increased collisions of electrons

  • drift velocity decreases «so current decreases»

  • «as V constant so» R increases

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