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Electromotive Force and Potential DifferenceCambridge IGCSE Physics: Revision notes

Section 1

What Is Electromotive Force (e.m.f.)?

The electromotive force (e.m.f.) of a source, such as a cell or battery, is a measure of how much electrical work it does on the charge passing through it.

  • E.m.f. is defined as the electrical work done by a source in moving a unit charge around a complete circuit.
  • E.m.f. is measured in volts (V), using the equation E = W / Q, where E is e.m.f., W is work done (in joules) and Q is charge (in coulombs).
Key termselectromotive force
Exam tip

E.m.f. describes the energy given to charge by the source itself — it is what drives the current around the whole circuit.

Section 2

What Is Potential Difference (p.d.)?

Potential difference (p.d.), also called voltage, describes the work done by a unit charge as it passes through a single component.

  • P.d. is defined as the work done by a unit charge passing through a component.
  • Like e.m.f., p.d. is measured in volts (V), using the equation V = W / Q.
  • P.d. is measured using a voltmeter, which is available in analogue and digital forms with different ranges.
Key termspotential differencevoltmeter
Common mistake

A voltmeter is connected in parallel across a component, not in series — this is the opposite of how an ammeter is connected.

Section 3

E.m.f. and p.d. — What's the Difference?

E.m.f. and p.d. are both measured in volts and both relate work done to charge, but they describe different things.

QuantityDescribesEquation
E.m.f. (E)Energy supplied by the source per unit charge, around the whole circuitE = W / Q
P.d. (V)Energy transferred to a component per unit chargeV = W / Q
  • The e.m.f. of a source is the total electrical energy given to each unit of charge that leaves it.
  • The p.d. across a component is the electrical energy transferred to that component (e.g. into heat or light) for each unit of charge that flows through it.
Example

A cell with an e.m.f. of 6 V gives 6 joules of energy to every coulomb of charge that passes through it; a lamp with a p.d. of 6 V across it transfers 6 joules of energy from every coulomb of charge that flows through it.

Must Know

  • E.m.f. is the electrical work done by a source in moving a unit charge around a complete circuit; e.m.f. is measured in volts using E = W / Q.
  • P.d. is the work done by a unit charge passing through a component; p.d. is measured in volts using V = W / Q.
  • Voltmeters measure p.d. and are connected in parallel across a component.
  • E.m.f. relates to the whole circuit and the source; p.d. relates to a single component.

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