The current density inside a long, solid, cylindrical wire of radius a is in the direction of the central axis and its magnitude varies with radial distance r from the axis according to J = br2, where b is a positive constant. Find the magnitude of the magnetic field as a function of distance r for (a) 0 ≤ r ≤ a and (b) r ≥ a. Express your answer in terms of the variables given and μ0.
The current density inside a long, solid, cylindrical wire of radius a is in the direction of the central axis and its magnitude varies with radial distance r from the axis according to J = br2, where b is a positive constant. Find the magnitude of the magnetic field as a function of distance r for (a) 0 ≤ r ≤ a and (b) r ≥ a. Express your answer in terms of the variables given and μ0.
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The current density inside a long, solid, cylindrical wire of radius a is in the direction of the central axis and its magnitude varies with radial distance r from the axis according to J = br2, where b is a positive constant. Find the magnitude of the magnetic field as a function of distance r for (a) 0 ≤ r ≤ a and (b) r ≥ a. Express your answer in terms of the variables given and μ0.
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