DC-Circuits > Parallel circuit

A Parallel Circuit is a circuit in which that the Input Terminals and the Output Terminals of the Resistors (or other Electronic Components) are connected together respectively, Figure 1. In a Parallel Circuit, the Voltage V across each component is the same, the Current flowing through each component, I_{x}, is independent of the others, it depends on the Resistance of that component, R_{x}, I_{x} = V / R_{x}.

The Total Conductance (1 / R) of a Parallel Circuit is the sum of the all Component Conductances, 1 / R = 1 / R_{1} + 1 / R_{2} + … + 1 / R_{n}, Figure 1.

In Figure 2, two Light Bulbs, B1 and B2, and a Power Supply V are connected in Parallel. The same Voltage V, V = V_{1} = V_{2}, is applied to the two Light Bulbs. If their Resistances, R_{1} and R_{2}, are the same, R_{1} = R_{2}, the Currents that flow through B1 and B2 are also the same, I_{1} = V / R_{1} = V / R_{2} = I_{2}, and they are On with the same brightness.

If the circuit path of B2 is an Open Circuit, Figure 3, there is no Current flowing through B2, I_{2} = 0. Thus, B2 is Off. As the Voltage V applied to B1 is unchanged, the Current flowing through B1 will still be I_{1} = I = V / R_{1}. The brightness of B1 is unchanged.

Lights, TV, air conditioner and other Electrical Appliances in your house are connected in parallel.

DC-Circuits > Parallel circuit