Electric current
Current is the rate of flow of charge, . Charge comes in whole multiples of the elementary charge C. In a conductor, current depends on the number density of charge carriers, their charge and their drift velocity: . Electrons drift slowly, but the signal travels almost instantly.
≈ 30 minE.m.f. and internal resistance
A real source has an e.m.f. and an internal resistance . When it drives a current through an external resistance , some energy is dissipated inside the source: , so the terminal p.d. is . The "lost volts" grow with current. A graph of against is a straight line with intercept and gradient .
≈ 35 minPotential difference and power
The potential difference across a component is the energy transferred from electrical to other forms per unit charge: , so V J C⁻¹. Electrical power is ; combining with gives . Choose whichever form uses the quantities you know.
≈ 30 minKirchhoff's laws
Kirchhoff's first law: the sum of currents into a junction equals the sum out (conservation of charge). Kirchhoff's second law: round any closed loop, the sum of e.m.f.s equals the sum of p.d.s (conservation of energy). From these: series ; parallel .
≈ 40 minResistance and resistivity
Resistance is . A metal at constant temperature obeys Ohm's law: current is proportional to p.d. A wire's resistance depends on its material, length and area: , where the resistivity is a material property. Filament lamps, diodes, thermistors and LDRs have non-ohmic, changing resistances.
≈ 35 minPotential dividers
Two resistors in series share the supply p.d. in proportion to their resistances: . Replacing one resistor with a thermistor or LDR makes the output depend on temperature or light. A potentiometer is a uniform resistance wire whose p.d. per unit length lets you compare e.m.f.s by finding the balance length, where a galvanometer reads zero.
≈ 35 min