A long, straight. solid conducting cylinder of radius R carries a current I out

Question

A long, straight. solid conducting cylinder of radius R carries a current I out of the page. The current is uniformly distributed over the cross section of the cylinder On the cross sectional diagram below, sketch magnetic field lines foe this current distribution both inside and outside the cylinder Derive an expression for the magnitude of the magnetic field Inside the cylinder as a function of r (distance from the central axis of the cylinder) Excess your result in terms of any of all of the following R, I, r, and fundamental physical and mathematical constants Derive an expression for the magnitude of the magnetic field outside the cylinder as a function of r. Express your result in terms of any or all of the following R, I, r, and fundamental physical and mathematical constants.

Explanation / Answer

a) According to right hand rule, when thumb is pointing the current direction, the fingers curls along the magnetic field. So the magnetic field around the conductor should be counter clockwise on this cross sectional figure both inside and outside the cylinder. b) When rR, B = mu0*I/(2pi*r).

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