Not given in the exam, recall it.
What it is for
Potential difference is used in Electricity (SPM Physics Form 5). Keep the SI units in every line of working. Electricity
Symbols and SI units
| Symbol | Meaning | SI unit |
|---|---|---|
| V | potential difference | V |
| W | work done (energy) | J |
| Q | charge | C |
Rearrangements
W = VQQ = W / V
Worked example
Common trap
Understanding potential difference
The equation V = W / Q defines potential difference across two points in a circuit. Here V is the potential difference in volts (V), W is the work done, or energy transferred, in joules (J), and Q is the charge that flows in coulombs (C).
The relationship says that potential difference is the energy given to each coulomb of charge as it passes between the two points. If more energy is delivered per unit charge, the potential difference is larger.
This is why 1 V is defined as 1 J C⁻¹.
- To find the energy transferred: W = VQ
- To find the charge: Q = W / V
Decide which quantity is unknown, rearrange first, then substitute the known values with their units.
A worked example, step by step
A lamp transfers W = 96 J of energy while a charge of Q = 8 C flows through it. Calculate the potential difference across the lamp.
Start from the defining equation:
- V = W / Q
- V = 96 J / 8 C
- V = 12 V
The potential difference across the lamp is 12 V. Notice the unit falls out naturally: joules divided by coulombs gives volts, because 1 V = 1 J C⁻¹.
Quoting the answer to two significant figures, V = 12 V. Keeping the units attached to every line makes it easy to check that the final unit is correct.
Common mistakes and how this is tested
The most common slip is confusing W (energy in joules) with power or with charge. W is energy, not the number of coulombs.
- Forgetting that V, not W, is measured across the two points, the p.d. is energy per unit charge, not total energy.
- Using minutes for time in a follow-up part where Q = It is needed; charge needs current in amperes and time in seconds.
- Writing the wrong rearrangement, for example Q = VW instead of Q = W / V.
This appears under the command word define (state what potential difference means) and calculate (find V, W or Q). Always show the rearranged formula before substituting numbers.
Source: DSKP KSSM Physics Form 4 and 5 (Versi English), Sijil Pelajaran Malaysia: Format Pentaksiran mulai 2021, Fizik (4531) (Bahagian Pembangunan Kurikulum (BPK), KPM)