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2) A coaxial cable consists of a cylinder of radius ? surrounding by a thin cylindrical...

  1. 2) A coaxial cable consists of a cylinder of radius ? surrounding by a thin cylindrical shell of radius

    ⃗
    2?. Suppose the cable is along the ?-axis. The current density in inner cylinder is ? = (?0 + ??)?̂,

    where ?0 > 0 and ? > 0 are constant. The current in the outer shell, ?? ,is downward (−? direction).

    1. a) Find the magnetic field in regions 0 < ? < ?, ? < ? < 2? and 2? < ?.

    2. b) Find the magnetic force on a point charge, +? on ?-axis at distance 3? from the axis of the

      cable, if it is traveling with velocity of ?⃗ = ??̂

    3. c) Find the magnetic force on a point charge, −? on ?-axis at distance 4? from the axis of the

      cable, if it is traveling with velocity of ?⃗ = ??̂

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