Which of the following is a formula for calculating total resistance in a parallel circuit?

The formula for calculating total resistance in a parallel circuit is:

### R

_{t}= 1 / (1 /

### R

_{1}+ 1 /

### R

_{2}+ ... + 1 /

### R

_{n})

where:

### R

_{t}is the total resistance of the circuit

### R

_{1},

### R

_{2}, ...,

### R

_{n}are the resistances of the individual resistors in the circuit

Let's take a look at an example. Suppose we have a parallel circuit with three resistors, each with a resistance of 10 ohms. The total resistance of the circuit would be:

### R

_{t}= 1 / (1 / 10 + 1 / 10 + 1 / 10) = 10 / 3 ohms

As you can see, the total resistance of a parallel circuit is always less than the resistance of any of the individual resistors in the circuit. This is because the current can flow through multiple paths in a parallel circuit, which reduces the overall resistance.

The formula for calculating total resistance in a parallel circuit can be used to solve a variety of problems involving parallel circuits. For example, you could use it to calculate the total resistance of a circuit with a given number of resistors, or to determine the current flowing through a circuit with a given total resistance.

The formula for calculating total resistance in a parallel circuit is a simple but powerful tool that can be used to understand and analyze parallel circuits. By understanding this formula, you can gain a deeper understanding of how electricity flows through circuits and how to design circuits that meet your specific needs.

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