The Kirchhoff's(Σi=0) first law and second law (ΣiR=ΣE)where the symbols have their usual meanings, are respectively based on
conservation of charge, conservation of momentum
conservation of energy, conservation of charge
conservation of momentum, conservation of charge
conservation of charge, conservation of energy
Kirchhoff's first law is based on conservation of charge while second law is based on the conservation of energy.