Formula For Parallel Circuit Conductance

The formula for parallel circuit conductance is:

$$G = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + ... + \frac{1}{R_n}$$

where:

* $G$ is the total conductance of the parallel circuit * $R_1$, $R_2$, $R_3$, ..., $R_n$ are the resistances of the individual resistors in the parallel circuit

To find the total conductance of a parallel circuit, simply add the reciprocals of the individual resistances. For example, if you have a parallel circuit with three resistors of 10 ohms, 20 ohms, and 30 ohms, the total conductance would be:

$$G = \frac{1}{10 \Omega} + \frac{1}{20 \Omega} + \frac{1}{30 \Omega} = \frac{6}{60 \Omega} = \frac{1}{10 \Omega}$$

Therefore, the total resistance of the parallel circuit would be 10 ohms.

The formula for parallel circuit conductance can be used to calculate the total conductance of any parallel circuit, regardless of the number or value of the resistors in the circuit. It is a simple and straightforward formula that can be easily used to solve a variety of electrical engineering problems.

Here are some additional examples of parallel circuit conductance calculations:

* A parallel circuit with two resistors of 10 ohms and 20 ohms has a total conductance of 30 ohms. * A parallel circuit with three resistors of 10 ohms, 20 ohms, and 30 ohms has a total conductance of 10 ohms. * A parallel circuit with four resistors of 10 ohms, 20 ohms, 30 ohms, and 40 ohms has a total conductance of 5 ohms.

As you can see, the total conductance of a parallel circuit decreases as the number of resistors in the circuit increases. This is because each resistor in a parallel circuit provides a path for current to flow, and the more paths there are for current to flow, the lower the total resistance of the circuit.

The formula for parallel circuit conductance is a valuable tool for electrical engineers and other professionals who work with electrical circuits. It can be used to calculate the total conductance of any parallel circuit, regardless of the number or value of the resistors in the circuit.


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