## What Is the Total Resistance in a Parallel Circuit with Resistances of 2, 3, and 5?

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 decreased. 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 resistors of 2 ohms, 3 ohms, and 5 ohms, the total resistance would be: ``` Rt = 1 / (1 / 2 + 1 / 3 + 1 / 5) = 1 / 0.6 = 1.67 ohms ``` As you can see, the total resistance of the parallel circuit is less than the resistance of any of the individual resistors. This is because the current can flow through multiple paths, so the overall resistance is decreased. ## How to Calculate the Total Resistance of a Parallel Circuit To calculate the total resistance of a parallel circuit, you can use the following steps: 1. Identify the resistance of each resistor in the circuit. 2. Plug the resistance values into the formula for total resistance: ``` Rt = 1 / (1 / R1 + 1 / R2 + ... + 1 / Rn) ``` 3. Solve for### Rt

. The total resistance of the circuit will be the value of### Rt

. ## Examples of Parallel Circuits Here are some examples of parallel circuits: * A light bulb in a series circuit with a switch. The switch can be used to turn the light bulb on or off. * A car's electrical system. The battery, alternator, and starter are all connected in parallel. This allows the car to start even if one of the components fails. * A home's electrical system. The main breaker panel is connected to the individual circuits in the home. This allows each circuit to be turned off individually in case of a problem. ## Applications of Parallel Circuits Parallel circuits are used in a variety of applications, including: * Electrical power distribution * Lighting systems * Automobiles * Home electrical systems Parallel circuits are used because they allow for a greater amount of current to flow through the circuit. This can be beneficial in applications where a lot of power is needed, such as in lighting systems or automobile engines. ## Conclusion Parallel circuits are a type of electrical circuit in which the components are connected in parallel. This means that the current can flow through multiple paths, so the overall resistance is decreased. The total resistance of a parallel circuit can be calculated using the formula: ``` Rt = 1 / (1 / R1 + 1 / R2 + ... + 1 / Rn) ``` Parallel circuits are used in a variety of applications, including electrical power distribution, lighting systems, automobiles, and home electrical systems.Series And Parallel Circuits Sparkfun Learn

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