How to calculate energy transferred
Potential difference tells you how much energy each coulomb of charge transfers. One volt is one joule per coulomb. So the total energy transferred is:
energy transferred = charge flow × potential difference
- E is energy transferred in joules (J)
- Q is charge flow in coulombs (C)
- V is potential difference in volts (V)
If 20 C of charge flows through a 12 V lamp, the energy transferred is 20 × 12 = 240 J.
Exam questions often give current and time instead of charge. Work out the charge first with Q = It, then use E = QV. If you have power and time instead, use E = P × t from the power calculator.
Common mistakes that cost marks
- Using current instead of charge. E = QV needs charge in coulombs. If you have current, multiply by time in seconds first.
- Leaving time in minutes when working out the charge. 1 minute is 60 s.
- Not converting kJ. 4.6 kJ is 4600 J.
- Mixing up E = QV and E = Pt. Both give energy in joules. Choose the one that matches the quantities you are given.
Practice questions
Try each one on paper first, then reveal the worked answer.
Q120 C of charge flows through a lamp with a potential difference of 12 V. Calculate the energy transferred.[2 marks]
- E = Q × V
- E = 20 × 12
- E = 240 J
Q2A toaster on the 230 V mains transfers 4600 J of energy. Calculate the charge that flows.[2 marks]
- Rearrange: Q = E ÷ V
- Q = 4600 ÷ 230
- Q = 20 C
Q3A current of 0.50 A flows through a 9.0 V motor for 60 s. Calculate the energy transferred.[4 marks]
- Step 1: Q = I × t = 0.50 × 60 = 30 C
- Step 2: E = Q × V
- E = 30 × 9.0
- E = 270 J
Frequently asked questions
What is the equation for energy transferred in a circuit?
Energy transferred = charge flow × potential difference (E = QV). Energy is in joules (J), charge in coulombs (C) and potential difference in volts (V).
What does a potential difference of 1 volt mean?
One joule of energy is transferred for every coulomb of charge that flows. So 1 V = 1 J/C.
What if the question gives current and time?
Find the charge first with Q = It, using time in seconds. Then use E = QV.
What is the difference between E = QV and E = Pt?
Both give energy in joules. Use E = QV when you know charge and potential difference, and E = Pt when you know power and time.