Electric charge and current
Charge interactions, current, e.m.f., potential difference, resistance and wire dimensions.
Offline pages
Saved on this device only. Connect at least once every 30 days to confirm Premium. Sign-out or a change of account removes saved copies.
Before you begin
Every electric circuit works by moving charge. The lessons start with positive and negative charge, then define current as the rate of flow of charge and use Q = It. They finish with the e.m.f. of a source, the potential difference across a component, and resistance, R = V/I, including how a wire’s length and thickness change it.
Be comfortable with: SI prefixes, because currents are often given in mA, and energy stores and transfers, because p.d. is energy transferred per unit charge.
Learning goals
- State that charges are positive or negative and are measured in coulombs
- State that like charges repel and unlike charges attract
- State current as rate of charge flow measured in amperes
- Distinguish conventional current from electron flow
- Apply charge equals current multiplied by time
- State that source e.m.f. is measured in volts
- Define component potential difference as work done per unit charge
- State resistance as potential difference divided by current
- Apply resistance equals potential difference divided by current
- Apply wire-resistance proportionalities for length and cross-sectional area
Syllabus statements covered
- state that there are positive and negative charges and that charge is measured in coulombs
- state that unlike charges attract and like charges repel
- state that current is the rate of flow of charge and that it is measured in amperes
- distinguish between conventional current and electron flow
- recall and apply the relationship charge = current × time to new situations or to solve related problems
- state that the electromotive force (e.m.f.) of an electrical source of energy is measured in volts
- state that the potential difference (p.d.) across a component in a circuit is the work done per unit charge in driving charges through the component and that it is measured in volts
- state that resistance = p.d. / current
- apply the relationship R = V / I to new situations or to solve related problems
- recall and apply the relationship of the proportionality between resistance and the length and cross-sectional area of a wire to new situations or to solve related problems
Lessons
Work through them in order.
Practise and check
Topic reference
Quick reference
| Quantity | Relationship | Unit |
|---|---|---|
| charge | charge = current × time, Q = It | coulomb, C |
| current | rate of flow of charge | ampere, A |
| e.m.f. | energy given to each unit of charge by a source | volt, V |
| potential difference | work done per unit charge in a component | volt, V |
| resistance | R = V/I | ohm, Ω |
| resistance of a wire | R ∝ length; R ∝ 1/(cross-sectional area) | for the same material and temperature |
Core knowledge to remember
- There are positive and negative charges, and charge is measured in coulombs. Unlike charges attract and like charges repel.
- Current is the rate of flow of charge, measured in amperes.
- Conventional current flows from the positive terminal to the negative; electrons in a metal flow the opposite way.
- The e.m.f. of an electrical source of energy is measured in volts.
- The potential difference across a component is the work done per unit charge in driving charges through it, measured in volts.
- Resistance = p.d. / current.
Common mistakes
- Using time in minutes instead of seconds in Q = It.
- Saying conventional current is the direction electrons flow.
- Calling p.d. “the current through” a component. P.d. is across a component; current flows through it.
- Saying a thicker wire has more resistance. A larger cross-sectional area gives a smaller resistance.