Know that electric current is related to the flow of charge

Published by Patrick Mutisya · 14 days ago

Cambridge IGCSE Physics 0625 – 4.2.2 Electric Current

4.2.2 Electric Current

Objective

Know that electric current is related to the flow of charge.

Key Concepts

  • Electric current is the rate at which electric charge passes a point in a circuit.
  • It is a scalar quantity; only magnitude is considered, not direction.
  • Conventional current direction is defined as the direction positive charge would move.
  • In metallic conductors the actual charge carriers are electrons, which move opposite to the conventional current direction.

Definition and Formula

The electric current \$I\$ is defined as the amount of charge \$\Delta Q\$ that passes a given point in a time interval \$\Delta t\$:

\$ I = \frac{\Delta Q}{\Delta t} \$

where

  • \$I\$ is the current (ampere, A)
  • \$\Delta Q\$ is the charge transferred (coulomb, C)
  • \$\Delta t\$ is the time taken (second, s)

Units and Symbols

QuantitySymbolUnitUnit Symbol
Electric current\$I\$ampereA
Electric charge\$Q\$coulombC
Time\$t\$seconds

Relation to Charge Carriers

In a conductor, the current can also be expressed in terms of the number of charge carriers, their charge, and their drift speed:

\$ I = n A v_d q \$

  • \$n\$ – number of charge carriers per unit volume (m\$^{-3}\$)
  • \$A\$ – cross‑sectional area of the conductor (m\$^{2}\$)
  • \$v_d\$ – drift velocity of the carriers (m s\$^{-1}\$)
  • \$q\$ – charge of each carrier (C). For electrons \$q = -e = -1.6 \times 10^{-19}\,\text{C}\$.

Conventional vs. Electron Flow

  1. Conventional current: Assumes positive charges move from the positive terminal to the negative terminal of a source.
  2. Electron flow: In metals, electrons (negative charge) move from the negative terminal to the positive terminal, opposite to conventional current.

Practical Implications

  • Current is measured with an ammeter placed in series with the component.
  • High currents can cause heating (\$P = I^{2}R\$) and may damage components.
  • Safety: The human body can be harmed by currents as low as 0.01 A (10 mA) passing through the heart.

Suggested Diagram

Suggested diagram: A simple circuit showing a battery, a resistor, an ammeter in series, and the direction of conventional current versus electron flow.

Summary Checklist

  • Current \$I\$ is the rate of charge flow: \$I = \Delta Q / \Delta t\$.
  • Unit of current is the ampere (A).
  • Conventional current direction is opposite to the actual electron movement in metals.
  • Current can be related to microscopic properties: \$I = n A v_d q\$.
  • Measuring current requires placing the measuring device in series with the circuit.