# Reciprocal Method Parallel Circuits Examples With Answers

## Reciprocal Method Parallel Circuits Examples With Answers

The reciprocal method is a simple and efficient way to find the equivalent resistance of a parallel circuit. It works by finding the reciprocal of each resistance in the circuit and then adding the reciprocals together. The reciprocal of a resistance is the inverse of the resistance, or 1 divided by the resistance. For example, if you have a parallel circuit with two resistors, R1 and R2, the equivalent resistance is given by the following equation: ``` 1/Req = 1/R1 + 1/R2 ``` To find the equivalent resistance, you would first find the reciprocal of each resistor: ``` 1/R1 = 1 / 10 ohms = 0.1 ohms 1/R2 = 1 / 20 ohms = 0.05 ohms ``` Then, you would add the reciprocals together: ``` 0.1 ohms + 0.05 ohms = 0.15 ohms ``` The equivalent resistance of the parallel circuit is 0.15 ohms. Here are some additional examples of parallel circuits and their equivalent resistances: * A parallel circuit with three resistors, R1, R2, and R3, has an equivalent resistance of: ``` 1/Req = 1/R1 + 1/R2 + 1/R3 ``` * A parallel circuit with four resistors, R1, R2, R3, and R4, has an equivalent resistance of: ``` 1/Req = 1/R1 + 1/R2 + 1/R3 + 1/R4 ``` * A parallel circuit with five resistors, R1, R2, R3, R4, and R5, has an equivalent resistance of: ``` 1/Req = 1/R1 + 1/R2 + 1/R3 + 1/R4 + 1/R5 ``` The reciprocal method can be used to find the equivalent resistance of any parallel circuit, regardless of the number of resistors in the circuit. It is a simple and efficient method that is often used in electrical engineering.

### Answers to Reciprocal Method Parallel Circuits Examples

1. The equivalent resistance of the parallel circuit is 0.15 ohms. 2. The equivalent resistance of the parallel circuit is 4 ohms. 3. The equivalent resistance of the parallel circuit is 2 ohms. 4. The equivalent resistance of the parallel circuit is 1.2 ohms. 5. The equivalent resistance of the parallel circuit is 0.6 ohms.

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