An infinitely long cylindrical shell of radius a has its symmetry axis as the z-axis and carries a uniformly distributed charge per unit length +λ over its surface. Suppose that there is a second infinitely long cylindrical shell of radius b, with b > a, which again has the z-axis as its symmetry axis but now this one carries a uniformly distributed charge per unit length −λ over its surface.Suppose that both shells move with velocity v= v ˆz, where v >0 is small compared to the speed of light. a)Determine the energy per unit length stored in the EM fields. b)Determine the linear momentum per unit length in the EM fields. c)Determine the rate at which energy in the EM fields is transported across the z= 0 plane.
An infinitely long cylindrical shell of radius a has its symmetry axis as the z-axis and carries a uniformly distributed charge per unit length +λ over its surface. Suppose that there is a second infinitely long cylindrical shell of radius b, with b > a, which again has the z-axis as its symmetry axis but now this one carries a uniformly distributed charge per unit length −λ over its surface.Suppose that both shells move with velocity v= v ˆz, where v >0 is small compared to the
a)Determine the energy per unit length stored in the EM fields.
b)Determine the linear momentum per unit length in the EM fields.
c)Determine the rate at which energy in the EM fields is transported across the z= 0 plane.
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