Power Calculation For Parallel Circuit

In this article, we will discuss how to calculate the power in a parallel circuit. We will start by reviewing the basics of parallel circuits, and then we will show you how to use Ohm's law and the power equation to calculate the power in a parallel circuit.

## What is a Parallel Circuit? A parallel circuit is a circuit in which the components are connected in parallel. This means that each component has its own path to the power source. In a parallel circuit, the total current is the sum of the currents through each individual component. The voltage across each component is the same, and the total resistance is less than the resistance of any individual component.

## Power in a Parallel Circuit The power in a parallel circuit is calculated using the following equation: ``` P = IV ``` where * P is the power in watts * I is the current in amps * V is the voltage in volts In a parallel circuit, the current is the same across all of the components. So, the power in a parallel circuit can be calculated by multiplying the total current by the voltage: ``` P = IV = (I₁ + I₂ + I₃)V ``` where * I₁, I₂, and I₃ are the currents through each individual component * V is the voltage across the circuit

## Example Let's say we have a parallel circuit with three resistors, R₁ = 10 Ω, R₂ = 20 Ω, and R₃ = 30 Ω. The voltage across the circuit is 120 V. We can calculate the total current in the circuit using Ohm's law: ``` I = V/R = 120 V / (10 Ω + 20 Ω + 30 Ω) = 20 A ``` The power in each resistor can be calculated using the following equation: ``` P = IV = (I₁ + I₂ + I₃)V ``` For resistor R₁, the current is I₁ = 20 A / 3 = 6.67 A. So, the power in resistor R₁ is: ``` P₁ = I₁V = 6.67 A * 120 V = 796.4 W ``` For resistor R₂, the current is I₂ = 20 A / 2 = 10 A. So, the power in resistor R₂ is: ``` P₂ = I₂V = 10 A * 120 V = 1200 W ``` For resistor R₃, the current is I₃ = 20 A / 1 = 20 A. So, the power in resistor R₃ is: ``` P₃ = I₃V = 20 A * 120 V = 2400 W ``` Therefore, the total power in the circuit is: ``` P = P₁ + P₂ + P₃ = 796.4 W + 1200 W + 2400 W = 4400 W ```

## Conclusion In this article, we have discussed how to calculate the power in a parallel circuit. We started by reviewing the basics of parallel circuits, and then we showed you how to use Ohm's law and the power equation to calculate the power in a parallel circuit. We also provided an example to illustrate the concepts that we covered.


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