☰ Year plan · Science

Electric current (A): charge, current and voltage

Week 6 · Unit 2 Electricity and Magnetism, opener; Lesson 1 Electric Current (A): free electrons and current, current intensity (I = Q/t), potential difference, electromotive force · 3 lessons
3

Potential difference, the voltmeter and emf

Science Prep 3 Term 1, Unit 2: pp. 34–40
GoalDefine potential difference and emf, calculate V = W/Q, and say how a voltmeter is connected.
New words
potential difference (V) · the work done to move one coulomb of charge between two points, V = W/Qvolt (V) · the unit of potential difference: one joule per coulomb, 1 V = 1 J/Celectromotive force (emf) · the total work a source does to move one coulomb round the whole circuit, in volts
Explanation

Charge moves from a point of higher potential to a point of lower potential. Think of two containers of water joined by a pipe with a valve: water flows until the levels are equal, then stops. The potential difference between two points is the work W needed to move one coulomb of charge between them: V = W ÷ Q. W is in joules (J), Q in coulombs (C) and V in volts (V), so 1 V = 1 J/C. A voltmeter measures potential difference and is connected in parallel across the two points. The total work that a source does in moving one coulomb round the whole circuit is its electromotive force, or emf, symbol ε, in volts. A source also pushes the current through itself, so the voltage across its terminals is a little less than ε. In this unit we ignore this loss and take V = ε. Say “voltage across the lamp”, never “voltage flows through the lamp”, and do not mix up V (a difference between two points) with ε (a property of the source).

+−V
Worked examples
18 J of work move 3 C of charge between two points. V = W ÷ Q = 18 J ÷ 3 C = 6 V.
A 9 V source moves 4 C round a circuit. The work done is W = V × Q = 9 V × 4 C = 36 J.
+−V
A voltmeter is connected across a lamp, in parallel, to read the lamp’s voltage. It is not put in the line of the current, as an ammeter is. In the picture, the voltmeter V is joined to the two ends of the lamp.
Class activity

Water-levels model, with a grown-up. Put two clean cups at different heights and join them with a clean tube that the adult fills with water by siphoning; no electricity. Describe how the water moves and when it stops. Then explain: water level = potential, height difference = potential difference, flow stops when the difference is zero. Say what this model cannot show (electrons are not water).

Practice
1
Define the volt in joules and coulombs.
2
30 J are used to move 5 C. What is the potential difference?
3
How is a voltmeter connected?
4
What is the difference between V and ε?