Electric circuits - AQAPotential difference and resistance

Electrical current transfers energy around circuits. There are two types of current: direct and alternating.

Part ofPhysics (Single Science)Electricity

Potential difference and resistance

The current through a component depends on both the of the and the across the component.

Measuring potential difference

To measure the potential difference across a component, a must be placed with that component in order to measure the difference in energy from one side of the component to the other. Potential difference is also known as and is measured in volts (V).

Circuit with a cell, switch and lamp. A voltmeter is connected in parallel with the lamp.

Learn more on current, resistance and potential difference in this podcast

Energy, voltage and charge

When a charge moves through a potential difference, electrical is done and energy transferred. The potential difference can be calculated using the equation:

\(potential~difference = \frac{energy}{charge}\)

\(V = \frac{E}{Q}\)

This is when:

  • potential difference (V) is measured in volts (V)
  • energy (E) is measured in joules (J)
  • charge (Q) is measured in coulombs (C)

One volt is the potential difference when one coulomb of charge transfers one joule of energy.

Example

What is the potential difference between two points if 2 C of charge shifts 4 J?

\(V = \frac{E}{Q}\)

\(V = \frac{4}{2}\)

\(V = 2~V\)

Question

How much energy is transferred when 3 C of charge moves through a potential difference of 6 V?

Resistance

When a charge moves through a potential difference, electrical work is done and energy transferred. The potential difference can be calculated using the equation:

potential difference = current × resistance

\(V = I \times R\)

This is when:

  • potential difference (V) is measured in volts (V)
  • current (I) is measured in amps (A)
  • resistance (R) is measured in ohms (Ω)

One volt is the potential difference when one coulomb of charge transfers one joule of energy.

Example

What is the potential difference if a current of 2 A flows through a resistance of 40 Ω?

\(V = I \times R\)

\(V = 2 \times 40\)

\(V = 80~V\)

Question

What is the resistance of a component if 12 V causes a current of 2 A through it?