consider a very long, cylindrical conductor of cross sectionalradius R carrying

Question

consider a very long, cylindrical conductor of cross sectionalradius R carrying current I in the X direction. find the value of(B) magnetic field inside and outside the conductor. the currentdensity is uniformly distributed over the cross sectional area ofthe cylinder. keeping in mind the amount of current that'sintercepted by a cross sectional area A = pi r squared inside thecylinder. this current would pierce an Amperian loop of radius rconcentric with the center of the cylinder, and lying inside it.the loop is outside the conductor, if the field is continuousinside and outside must agree.

Explanation / Answer

The current density j = I / A = I / R2 Inside the conductor r

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