An electric current is flowing through a long cylindrical conductor with radius a = 0.15 m. The current density J = 2.5 A/m2 is uniform in the cylinder. In this problem, we consider an imaginary cylinder with radius r around the axis AB. Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms of r, a, and J. Part (f) Express the magnitude of the magnetic field, B, at r > a in terms of I and r. Part (g) Express B in terms of J, a and r. Part (h) For r = 2 a, calculate the numerical value of B in Tesla.
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Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms of r, a, and J.
Part (f) Express the magnitude of the magnetic field, B, at r > a in terms of I and r.
Part (g) Express B in terms of J, a and r.
Part (h) For r = 2 a, calculate the numerical value of B in Tesla.
I already did the first few parts. I am most confused on parts e and g, how to derive the equations. Thanks so much!
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