## Introduction

If you're a student studying electrical engineering, you're probably familiar with Kirchhoff's laws. These are fundamental principles that allow engineers to analyze and understand complex electrical circuits. In this article, we will focus specifically on Kirchhoff's laws in parallel circuits. We'll provide an answer key to help you check your answers and ensure you fully understand the concepts involved.

## What Are Kirchhoff's Laws?

Kirchhoff's laws are a set of principles that govern the behavior of electrical circuits. They were first introduced by German physicist Gustav Kirchhoff in the mid-19th century. There are two laws in total: Kirchhoff's current law (KCL) and Kirchhoff's voltage law (KVL). KCL states that the total current entering a circuit node must equal the total current leaving that node. KVL states that the total voltage around any closed loop in a circuit must be zero.

## Parallel Circuits

In a parallel circuit, there are multiple paths for current to flow. This is in contrast to a series circuit, where there is only one path for current to flow. In a parallel circuit, the voltage across each component is the same, but the current through each component may be different. Kirchhoff's laws can be used to analyze parallel circuits and determine the values of different components.

## Answer Key

To help you check your understanding of Kirchhoff's laws in parallel circuits, we've provided an answer key to a series of practice problems. These problems involve calculating the current and voltage in different components of a parallel circuit. Use the key to check your answers and ensure you fully understand the concepts involved.

### Problem 1

In the circuit shown below, what is the current through resistor R1? ![Parallel Circuit Diagram](https://i.imgur.com/4KqQJ8w.png) Answer: The current through R1 is 1.5 A.

### Problem 2

In the circuit shown below, what is the voltage across resistor R2? ![Parallel Circuit Diagram](https://i.imgur.com/4KqQJ8w.png) Answer: The voltage across R2 is 12 V.

### Problem 3

In the circuit shown below, what is the total current entering the circuit? ![Parallel Circuit Diagram](https://i.imgur.com/4KqQJ8w.png) Answer: The total current entering the circuit is 4 A.

### Problem 4

In the circuit shown below, what is the current through resistor R3? ![Parallel Circuit Diagram](https://i.imgur.com/4KqQJ8w.png) Answer: The current through R3 is 2 A.

## Conclusion

Kirchhoff's laws are essential for understanding and analyzing electrical circuits. In parallel circuits, these laws can be used to determine the values of different components. By using the answer key provided in this article, you can check your understanding of these concepts and ensure you're on the right track. With practice, you'll be able to apply Kirchhoff's laws to more complex circuits and become a skilled electrical engineer.

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