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A level Physics · Edexcel 9PH0 · Topic 3A

Current, charge and potential difference

Key points

  • Electric current is the rate of flow of charge: I=ΔQΔtI = \frac{\Delta Q}{\Delta t}. Charge is measured in coulombs (C); an electron carries −1.6×10−19-1.6 \times 10^{-19} C.
  • In metals the charge carriers are free electrons; in electrolytes they are ions. Conventional current flows from + to −.
  • Drift velocity equation: I=nqvAI = nqvA, where nn is the number of charge carriers per unit volume. A good conductor has a large nn, so a small drift speed is enough.
  • Potential difference is the energy transferred per unit charge: V=WQV = \frac{W}{Q}, so 1 V = 1 J C−1^{-1}.
  • Conservation of charge: total current into a junction equals total current out (Kirchhoff's first law).
  • Conservation of energy: around any closed loop, the sum of e.m.f.s equals the sum of p.d.s (Kirchhoff's second law).
  • Electrical power P=VIP = VI and energy transferred W=VItW = VIt.

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Current, charge and potential difference are the three quantities every circuit question is built on. These notes connect the large-scale definitions to what charge carriers are doing inside a conductor.

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