## Introduction

Parallel circuits are a common type of electrical circuit that are often used in household and industrial applications. In a parallel circuit, the components are connected in a way that allows current to flow through multiple paths. This can be useful for many reasons, such as allowing appliances to operate independently of each other or preventing a single component failure from disrupting the entire circuit. However, understanding the current in parallel circuits can be tricky. In this article, we'll provide an answer key to help you understand current flow in parallel circuits.

## Current Flow in Parallel Circuits

In a parallel circuit, the total current is equal to the sum of the currents flowing through each branch of the circuit. This means that each component in the circuit receives the same voltage, but the current may be different. The current flowing through each branch is known as branch current. For example, if we have a circuit with two branches, each with a resistor, and a total voltage of 12V, the current through each branch may be different. If one resistor has a resistance of 2 ohms and the other has a resistance of 4 ohms, the current through the 2 ohm resistor will be 6 amps, while the current through the 4 ohm resistor will be 3 amps.

## Calculating Current in Parallel Circuits

To calculate the total current in a parallel circuit, we can use Ohm's law. Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. Using Ohm's law, we can calculate the current in each branch of the circuit by dividing the voltage by the resistance of the branch. Then, we can add up the currents to find the total current in the circuit.

### Example Calculation:

A parallel circuit has two branches, each with a resistor. The voltage across the circuit is 24V. The resistance of the first branch is 6 ohms and the resistance of the second branch is 12 ohms. What is the total current in the circuit? First, we can calculate the current through each branch using Ohm's law: - Current through first branch = 24V / 6 ohms = 4 amps - Current through second branch = 24V / 12 ohms = 2 amps Then, we can add up the currents to find the total current in the circuit: - Total current = 4 amps + 2 amps = 6 amps

## Conclusion

Understanding current flow in parallel circuits is essential for anyone working with electrical circuits. By understanding the principles of current flow and using Ohm's law, we can calculate the current in each branch of the circuit and find the total current in the circuit. Hopefully, this article has provided you with a helpful answer key for understanding current in parallel circuits.

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