The electric current in a conductor:
At r less than a, the current in the conductor is:
ir = πr2J
An electric current is flowing through a long cylindrical conductor with radius a = 0.15 m. The current density J= 5.5 A/m2 uniform in the cylinder. In this problem, we consider an imaginary cylinder with radius r around the axis AB
(a) When r is less than a, express the current inside the imaginary cylinder ir in terms of r and J.
(b) Express the magnitude of the magnetic field B at r in terms of the current through the imaginary cylinder ir and its radius.
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