Current, potential difference, resistance and I–V characteristics

Physics · Electricity. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

Test this topic freeAll Physics topics

The idea

Current is the rate of flow of electrical charge. Potential difference (p.d.) pushes the charge round the circuit. Resistance opposes the current. For a given p.d., a bigger resistance gives a smaller current.

For a fixed resistor at constant temperature, the current is directly proportional to the p.d., so its I–V graph is a straight line through the origin. Other components do not behave like this. A filament lamp gives a curve, because its resistance rises as it gets hotter. A diode lets current pass in one direction only.

An ammeter goes in series with the component. A voltmeter goes in parallel across it.

Rules to remember

Common mistake

Students use time in minutes in Q = It. Always change the time into seconds first (2 minutes = 120 s).

Worked example

The p.d. across a resistor is 3.0 V and the current through it is 0.15 A. What is its resistance, and how much charge flows through it in 40 s?

  1. Rearrange V = IR: R = V ÷ I = 3.0 ÷ 0.15 = 20 Ω.
  2. Charge: Q = I × t = 0.15 × 40.
  3. 0.15 × 40 = 6.0 C.

Answer: Resistance = 20 Ω and charge = 6.0 C

Ask about this

Type what you are stuck on. The helper finds the explanation, worked examples and the notes to read, free and instant.

Keep going

← National and global energy resourcesSeries and parallel circuits →Take a Physics test