![]() Therefore, all conditions and equations can be applied to them.įind the total resistance RT. The five resistor networks above may look different from each other, but they are all arranged as resistors in parallel. Here are a few examples of how resistors are connected together in parallel. But the parallel resistor circuit can take many forms other than the obvious ones given above. We now know that the resistors connected between the same two nodes are connected in parallel. Note that the equivalent resistance is always less than the minimum resistance in the parallel network, so the total resistance RT will decrease as the additional parallel resistance increases. If there are three equal resistors in parallel, the total resistance or equivalent resistance RT is equal to R/3 and so on. If two parallel resistances or impedances are equal, the total resistance or equivalent resistance RT is equal to half of the resistance value R/2 of one resistor. In the parallel resistor circuit, the reciprocal (1/RT) value of equivalent circuit resistance is equal to the algebraic sum of the inverses of the individual resistances. In the above parallel resistor circuit, the resistors R1, R2, and R3 are connected in parallel between the two points A and B, as shown in the figure. Then in the following parallel resistor example, V(R1)=V(R2)=V(R3)=V(AB)=12V. So we can define a parallel resistor circuit as a resistor connected to the same two points (or nodes) and identified by the fact that it has more than one current path connected to a common voltage source. Then, the resistors connected in parallel have a common voltage between them, which is the same for all components connected in parallel. However, the voltage drop of all resistors in the parallel resistor network is the same. Since the power supply current has multiple paths to flow, the currents of all branches in the parallel network may be different. ![]() The parallel circuit is then classified as a current divider. In the parallel resistor network, the circuit current can take multiple paths because the current has multiple paths. ![]()
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