# Physics Tutorial 16.6 - Ampere's Law

There are 5 lessons in this physics tutorial covering Ampere's Law. The tutorial starts with an introduction to Ampere's Law and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific physics lesson as required to build your physics knowledge of Ampere's Law. you can access all the lessons from this tutorial below.

In this Physics tutorial, you will learn:

• What is the integral of a function? What is its geometrical meaning?
• How to find the integral of basic functions?
• What does Ampere's law say?
• What is an Amperian loop?
• What is the equivalent of Ampere's law in electricity?
• How to find the magnetic field outside a long straight wire with current?
• How to find the magnetic field inside a long straight wire with current?
• How to apply Ampere's law to find the magnetic field inside a solenoid?
• What is a toroid and how to apply Ampere's law to find the magnetic field inside the toroid?

## Introduction

So far, we have discussed more than once about the interaction between electric current and magnetic field. Such an interaction produces a number of physical quantities such as magnetic force, torque, motor effect (motion), magnetic moment, dipole moment, work, energy and so on.

There are many other quantities and relationships we can find using the similarities between magnetic and electric properties of matter. One of them is Ampere's Law, which is a mathematical statement of the relationship between currents and the magnetic fields they generate. It is thus the magnetic equivalent of Gauss's law, which relates charges to their electric fields. In this tutorial, we will discuss extensively about such a relationship, providing some mathematical background required to understand better the material discussed.

Please select a specific "Ampere's Law" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this physics topic.

Magnetism Learning Material
Tutorial IDPhysics Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
16.6Ampere's Law
Lesson IDPhysics Lesson TitleLessonVideo
Lesson
16.6.1Useful Mathematical Background: Integral of a function - Geometrical approach
16.6.2Ampere's Law
16.6.3Magnetic Field Outside a Long Straight Wire with Current
16.6.4Magnetic Field Inside a Long Straight Wire with Current
16.6.5Ampere's Law Applied in Solenoids and Toroids

## Whats next?

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4. Check your calculations for Magnetism questions with our excellent Magnetism calculators which contain full equations and calculations clearly displayed line by line. See the Magnetism Calculators by iCalculator™ below.
5. Continuing learning magnetism - read our next physics tutorial: Faraday's Law of Induction