The law of conservation of charge
Electric charge cannot be created or destroyed, (though positive and negative charges can neutralise each other). Charge cannot pile up at a point in a circuit.
Emf, E
The emf of a source is the energy converted from some other form (e.g. chemical) to electrical potential energy per coulomb of charge flowing through the source. Unit: V
V (in V = E - Ir)
The energy supplied per unit charge to the external circuit (from epe to some other form)
E (in V = E - Ir)
The total energy converted from chemical energy to electrical potential energy per unit charge passing through the cell
Ir (in V = E- Ir)
The energy lost as heat(/internal energy) per unit charge inside the cell