## Question

###### (28 Points) A long current carrying pipe consists of two conducting layers. The first layer has an inner radius A and an outer radius B. It carries non-uniform current density J=3ysin 4r+ 58 where and B are constants_ The outer layer has an inner radius B an outer radius C, and has uniform current density such that the magnetic field for r > C is equal t0 zero_ What is the total current carried by the inner conducting pipe? What is the current density in the outer conducting pipe? What is the

(28 Points) A long current carrying pipe consists of two conducting layers. The first layer has an inner radius A and an outer radius B. It carries non-uniform current density J=3ysin 4r+ 58 where and B are constants_ The outer layer has an inner radius B an outer radius C, and has uniform current density such that the magnetic field for r > C is equal t0 zero_ What is the total current carried by the inner conducting pipe? What is the current density in the outer conducting pipe? What is the magnitude of the magnetic field strength for r < A? What is the magnitude Of the magnetic field strength for A < r < B? What is the magnitude of the magnetic field strength for B < r< C?

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