Basics of Electricity (AQA A Level Physics)

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Electric Current & Potential Difference

  • A simple electrical circuit requires
    • a conductor through which current can flow
    • a source of potential difference

Electric Current

  • Electric current is defined as

The rate of flow of electric charge

  • Current is measured in units of amperes or amps (A)
    • 1 amp is equivalent to a charge of 1 coulomb flowing in 1 second, or 1 A = 1 C s−1
  • Current can be described using the equation:

I space equals space fraction numerator increment Q over denominator increment t end fraction

  • Where:
    • I = current (A)
    • ΔQ = amount of charge flowing (C)
    • Δt = time interval (s)
  • Current flows when a circuit is formed
    • This is when a conductor, such as a wire, connects two oppositely charged terminals of a source, such as a cell

5-1-1--current-in-a-circuit

For a charge to flow, a circuit must connect the positive and negative terminals of an electrical energy source

  • In electric circuits, the current is a flow of electrons
  • Conventional current is defined as the flow of positive charge
    • This is from the positive terminal of a cell to the negative terminal
  • This is the opposite of the direction of electron flow
    • Electrons are negatively charged so they flow from the negative terminal of a cell to the positive terminal

flow-of-charge-in-a-circuit

By definition, conventional current flows from the positive terminal to the negative terminal of the battery. Electrons flow in the opposite direction

  • Current can be measured using an ammeter
  • Ammeters must be connected in series with the component being measured

Ammeter in series, downloadable AS & A Level Physics revision notes

An ammeter can be used to measure the current around a circuit and is always connected in series

Potential Difference

  • Potential difference is defined as

The electrical work done per unit charge flowing between two points

  • Potential difference is measured in units of volts (V)
    • 1 volt is equivalent to the transfer of 1 joule of electrical energy by 1 coulomb of charge, or 1 V = 1 J C−1
  • Potential difference can be described using the equation:

V space equals space W over Q

  • Where:
    • V = potential difference (V)
    • W = electrical work done by the charge (J)
    • Q = charge flow (C)
  • A simple cell creates a potential difference through the separation of charge
    • One end (terminal) of the cell has an excess of positive charge and the other an excess of negative charge
    • Negatively charged electrons are repelled by the negative terminal and attracted to the positive terminal
    • Therefore, when a wire is connected between the two terminals, the potential difference causes the flow of electrons (current)
  • As electrons flow through a cell, they gain energy
    • For example, in a 12 V cell, every coulomb of charge passing through gains 12 J of energy
  • As electrons flow through a circuit, they lose energy
    • For example, after leaving the 12 V cell, each coulomb of charge will transfer 12 J of energy to the wires and components in the circuit

potential-difference-in-a-circuit

The separation of positive and negative charges in a battery creates a potential difference. As the electrons flow through the light bulb, electrical energy is transferred into heat and light energy

  • Potential difference can be measured using a voltmeter
  • Voltmeters must be set up in parallel with the component being measured

Voltmeter in a circuit, downloadable AS & A Level Physics revision notes

Potential difference can be measured by connecting a voltmeter in parallel between two points in a circuit

Worked example

When will 8 mA of current pass through an electrical circuit?

A.     When 1 J of energy is used by 1 C of charge

B.     When a charge of 4 C passes in 500 s

C.     When a charge of 8 C passes in 100 s

D.     When a charge of 1 C passes in 8 s

Answer:  B

  • The equation relating current, charge and time is:

I space equals space fraction numerator increment Q space over denominator increment t end fraction

  • Consider option B: ΔQ = 4 C, Δt = 500 s

I space equals space 4 over 500 space equals space 8 space cross times space 10 to the power of negative 3 end exponent space equals space 8 space mA

  • Therefore, the correct answer is B

A is incorrect as this is the definition of a potential difference of 1 V between two points and does not describe current

C is incorrect as  I space equals space 8 over 100 space equals space 80 space cross times space 10 to the power of negative 3 end exponent space equals space 80 space mA

D is incorrect as  I space equals space 1 over 8 space equals space 125 space cross times space 10 to the power of negative 3 end exponent space equals space 125 space mA

Examiner Tip

You may have previously described the potential difference in a circuit as 'voltage'. While this is a valid term, it is important to become comfortable using the term potential difference to describe the difference in potential (energy per unit charge) between two points in a circuit. 

Remember that potential difference is not the same as energy. It is the energy per unit charge. Since work done is W space equals space Q V, two batteries may have the same voltage (or the same potential difference between battery terminals), but one may store more energy than the other and therefore would be able to move more charge.

Resistance

  • Resistance is defined as

The opposition of a component to the flow of electric current through it

  • The resistance R of a conductor is defined as the ratio of the potential difference V across to the current I in it

R space equals space V over I

  • Where:
    • R = resistance of a conductor (Ω)
    • V = potential difference across the conductor (V)
    • I = current in the conductor (A)
  • Resistance is measured in units of ohms (Ω)
    • A resistance of 1 Ω is equivalent to a potential difference across a component of 1 V which produces a current of 1 A through it
  • The resistance of a component controls the size of the current in a circuit
  • For a given potential difference across a component:
    • The higher the resistance, the lower the current that can flow
    • The lower the resistance, the higher the current that can flow
  • All electrical components, including wires, possess some value of resistance
  • Wires are often made from copper because of its low electrical resistance
    • This is why it is known as a good conductor

Examiner Tip

Although all electrical components have resistance, the resistance of wires is taken to be zero in exam questions.

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Joanna

Author: Joanna

Expertise: Physics

Joanna obtained her undergraduate degree in Natural Sciences from Cambridge University and completed her MSc in Education at Loughborough University. After a decade of teaching and leading the physics department in a high-performing academic school, Joanna now mentors new teachers and is currently studying part-time for her PhD at Leicester University. Her passions are helping students and learning about cool physics, so creating brilliant resources to help with exam preparation is her dream job!