What is the Magnetic Field Inside and Outside a Conducting Cylinder?

AI Thread Summary
The discussion focuses on calculating the magnetic field H inside and outside a conducting cylinder carrying a uniform current I. For points inside the cylinder (r < r0), the magnetic field is derived using the Biot-Savart Law and is expressed as H = i*dL*sin(θ)/4π*r². For points outside the cylinder (r > r0), the expression changes to H = i*dL*cos(θ)/4π*r². Participants seek clarification on the variables dL and θ, suggesting the use of Amperes Law for a circular path to simplify the calculations. The conversation emphasizes the application of fundamental electromagnetic principles to solve the problem.
Paymemoney
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Homework Statement


A conducting cylinder of radius r0 carries a current I uniformly throughout its
volume. Find an expression for the magnetic field H at a distance r from the
axis of the cylinder (a) for r < r0 , and (b) for r > r0 .

Homework Equations



Biot-Savart Law
Amperes Law

The Attempt at a Solution



I am not sure if this is correct

a) H=i*dL*sin(\theta)/4pi*r^2 for r < r0

b) H=i*dL*cos(\theta)/4pi*r^2 for r > r0

P.S
 
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Hi Paymemoney! :smile:

(try using the X2 and X2 buttons just above the Reply box :wink:)
Paymemoney said:
a) H=i*dL*sin(\theta)/4pi*r^2 for r < r0

b) H=i*dL*cos(\theta)/4pi*r^2 for r > r0

uhh? what's dL? what's θ? :confused:

use ∫ H.dl round a circle​
 

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