# Calculating Magnetic Field Due to Multiple Cavities Using Ampere's Law

• luiseduardo
In summary, the conversation discusses finding the magnetic field at a point above a long conductive cylinder with two cylindrical cavities using Biot-Savart and Ampere's law. The person is unsure of how to handle the holes in the cylinder and is advised to use the superposition principle.
luiseduardo

## Homework Statement

A long conductive cylinder contains two cylindrical cavities, as shown in the diagram. Find the magnetic field produced at point P just above the surface of the cylinder, the total current in the I and uniform current density over its section.

Biot-Savart
Ampere's law

## The Attempt at a Solution

I tried to use ampere's law, but I'm a bit confused what I should do.
I don't know very well what i can do, if someone could help i appreciate.

Try to articulate the trouble you are having.

You know how to find B due to a current in the whole wire right?
I'm guessing the trouble is the holes - is that correct?
So apply the superposition principle.

## 1. What is a magnetic field?

A magnetic field is a region of space where magnetic forces are present. It is created by moving electric charges and can be visualized as lines of force that point from north to south.

## 2. How is a magnetic field measured?

A magnetic field is measured using a device called a magnetometer, which can detect the strength and direction of the field. The unit of measurement for magnetic field is the tesla (T) or gauss (G).

## 3. What is a cavity in relation to a magnetic field?

A cavity in a magnetic field refers to a region within the magnetic field where there is little to no magnetic force present. This can occur when a magnetic material is placed inside a larger magnetic field, creating a shielded area.

## 4. How does a magnetic field interact with a cavity?

A magnetic field can interact with a cavity by either passing through it or being blocked by it. The interaction depends on the strength of the magnetic field and the properties of the material in the cavity.

## 5. What are some applications of magnetic fields in cavities?

Magnetic fields in cavities have various applications, including MRI machines, particle accelerators, and magnetic resonance spectroscopy. They can also be used to shield sensitive equipment from outside magnetic interference and to control the flow of charged particles in plasma physics experiments.

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