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**[SOLVED] Amperes Law**

## Homework Statement

Deriving the magnetic field through a solenoid.

## Homework Equations

dB = mu0/4pi x Idlsintheta/ r^2

where I = current dl= a tiny change in length dB = a tiny change in flux density

sintheta is the angle to the normal r is the radius mu0 is the permeabiability of free space.

## The Attempt at a Solution

Long integration that we have been give by our teacher, I understand the math. My issue however is not to do with the formula manipulation, but rather with the actual concept underlying this calculation. A look on wikipedia indicated that the problem should in fact be solved using amperes law, however I am unfamiliar with amperes law and would love a conceptual rather than formulaic explanation of the theorem. Unfortunately my high school teacher does not himself understand the concepts behind the equations he teaches, but rather simply copies notes from a textbook, he himself admitting so. In the event that I have used the template incorrectly, or am going about something wrong, I do strongly appoligise, and would appreciate any guidance in going about my query correctly.