Along coaxial cable consists of an inner cylindrical conductor with radius a and an outer coaxial cylinder with inner radius b and outer radius c. the outer cylinder is mounted on insulating supports and has no net charge. the inner cylinder has a uniform positive charge per unit length λ.
(a)
calculate the magnitude of the electric field at any point between the cylinders a distance r from the axis.
express your answer in terms of the variables a, b, c, r, λ and constants π and ϵ0.
(b)
find the direction of the electric field at any point between the cylinders a distance from the axis.
parallel cylinders' axis
radially outward
radially inward
(c)
calculate the magnitude of the electric field at any point outside the outer cylinder a distance r from the axis.
express your answer in terms of the variables a, b, c, r, λ and constants π and ϵ0.
(d)
find the direction of the electric field at any point outside the outer cylinder a distance from the axis.
parallel cylinders' axis
radially outward
radially inward
(e)
find the charge per unit length on the inner surface and on the outer surface of the outer cylinder.
enter your answers in ascending order separated by a comma. express them in terms of the given quantities.