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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