# Determine Total Resistance Of Parallel Circuit

In a parallel circuit, the total resistance is less than the resistance of any individual resistor. This is because the current can flow through multiple paths, so the overall resistance is lower. The total resistance of a parallel circuit can be calculated using the following formula: ``` Rt = 1 / (1/R1 + 1/R2 + ... + 1/Rn) ``` Where: * Rt is the total resistance of the circuit * R1, R2, ..., Rn are the resistances of the individual resistors For example, if you have a parallel circuit with three resistors of 10 ohms, 20 ohms, and 30 ohms, the total resistance of the circuit would be: ``` Rt = 1 / (1/10 + 1/20 + 1/30) = 5 ohms ```

The total resistance of a parallel circuit is always less than the resistance of the smallest resistor in the circuit. This is because the smallest resistor allows the most current to flow through it, which reduces the overall resistance of the circuit.

Parallel circuits are often used to increase the current flow in a circuit. For example, a car's headlights are wired in parallel so that they can all be turned on at the same time. If the headlights were wired in series, only one headlight would be able to be turned on at a time.

Parallel circuits are also used to increase the voltage drop across a resistor. For example, a voltage divider is a circuit that uses two resistors in parallel to create a desired voltage drop.

Parallel circuits are an important part of electrical engineering. They are used in a wide variety of applications, from car headlights to voltage dividers. By understanding how parallel circuits work, you can use them to design and build circuits that meet your specific needs.

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