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# Magnetic field

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A small/thin circular conducting disk that can carry total current, as represented by 'I'. The current path is circular at every distance from the center of the disk, and the each circle center is the disk center. Find the magnetic field at the disk center, assuming the current density is:

1. Constant

2. Inversely proportional to the distance from the center.

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https://brainmass.com/physics/electric-magnetic-fields/magnatic-field-disk-center-466934

#### Solution Preview

** Please refer to the attachment for the complete solution **

A small/thin circular conducting disk that can carry total current 'I'. The current path is circular at every distance from the center of the disk, and the each circle center is the disk center. Find the magnetic field at the disk center, assuming the current densit y is:

1. Constant
2. inversely proportional to the distance from the center.

Solution:
(please see the attached file)
Case 1: Current density is constant

The fig. shows a conducting disc of radius R and thickness t carrying the circularly flowing ...

#### Solution Summary

This solution provides a step-by-step explanation of how to use integral calculus to solve the given physics question.

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