Resistors in Parallel

Resistors are connected parallel when both of their terminals are respectively connected to each terminal of the other resistor. The inverse of the equivalent resistance of two or more resistors connected in parallel is the algebraic sum of the inverses of the individual resistances. The equivalent resistance is always less than the smallest resistor in the parallel network. In a parallel network, the circuit current is divided into nodes. Free electrons are divided and the current may not be the same through all the branches in the parallel network. It depends on the value of resistance in each branch. The voltage drop across all of the resistors in a parallel resistive network is the same. Resistors in parallel have a common voltage across them. Since electrical conductance is reciprocal to resistance, the expression for total conductance of a parallel circuit of resistors is equal to the sum of individual conductance. The relations for total conductance and resistance stand in a complementary relationship: the expression for a series connection of resistances is the same as for the parallel connection of conductance, and vice versa.