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Calculating resistors in parallel is precisely the same as the calculations required for inductors in parallel or for capacitors in series. Resistors in series are equivalent to one resistor whose resistance is the sum of each individual resistor.

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The sum of the current in each branch is equal to the total current of the circuit.

Parallel resistors circuit. Resistors are in parallel if their terminals are connected to the same two nodes. In a parallel circuit current gets divided among the parallel branches in a manner so that the product of current and the resistance of each branch becomes the same. Each resistor thus has the full voltage of the source applied to it.
Resistors in series and parallel resistors can be connected together in an unlimited number of series and parallel combinations to form complex resistive circuits. Then resistors in parallel have a common voltage across them and this is true for all parallel connected elements. Two resistors in parallel and the resulting total resistance.
The power source is providing 12 volts and the value of the resistors are 5 ohms 5 ohms and 2 ohms. Resistors in parallel on the other hand result in an equivalent resistance that is always lower than every individual resistor. Two of the same value also show the equation that the results are always half.
The equivalent overall resistance is smaller than the smallest parallel resistor. So we can define a parallel resistive circuit as one where the resistors are connected to the same two points or nodes and is identified by the fact that it has more than one current path connected to a common voltage source. We will use a parallel circuit with 3 paths as an example it could be 2 4 or a 1000 resistors in parallel.
Resistors are in parallel when each resistor is connected directly to the voltage source by connecting wires having negligible resistance. Shows resistors in parallel wired to a voltage source.

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