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In a parallel connection, resistors are connected between the same pair of nodes, creating an equal voltage across each.

Considering the schematic circuit and applying Kirchhoff's current law, the sum of the currents through these resistors equals the source current. 

Using Ohm's law, the source current equals the source voltage multiplied by the sum of the reciprocals of the individual resistances.

Solving for the source voltage and substituting it into Ohm's law gives the current passing through each resistor.

The source current is divided among the resistors in an inverse proportion to their resistances, demonstrating the principle of current division in a current divider circuit.

A combination of parallel resistors can be treated as a single equivalent resistor with resistance equal to the product of their individual resistances divided by their sum.

Conductance, the inverse of resistance, can be calculated for series and parallel connections.

In series, the equivalent conductance is the product of the individual conductances divided by their sum, while in parallel, it is the sum of the individual conductances.