How Electrons Create Current
Here's where it gets fascinating - metals contain free delocalised electrons that can move around easily thanks to metallic bonding. When you connect a battery, these electrons drift from negative to positive, creating the current we use.
The drift velocity equation I = nAve shows how current depends on several factors. Here, n is charge carrier density, A is the wire's cross-sectional area, v is drift velocity, and e is electron charge.
Surprisingly, electrons actually move quite slowly through wires - their drift velocity is typically just millimetres per second! Yet electricity seems instant because the effect travels through the wire at nearly light speed, like dominoes falling.
The derivation is straightforward: current equals the number of electrons passing through per second, multiplied by each electron's charge. This gives us the incredibly useful relationship v = I/(nAe) for calculating drift velocity.
Real World: In a typical household wire carrying 1 amp, electrons drift at about 0.1 mm per second - slower than a snail!