Question

(x2+42)1.5-(22 vital xdx dlxà 4nR2 Question 1) Given a co-axial structure of infinite length with an inner cylinder, radius "a", carrying a total surface current of +I amperes and a hollow outer cylinder (inner radius "b" outer radius "c") carrying a total current ㅢ amperes. i Use Ampere's Law to compute the magnetic field as a function of distance from the centerline of the structure. The magnetic field outside the co-axial structure is zero. (2 Marks) i)If the current I-10 mA, and the current densities are constants, compute (current density of inner cylinder and Je current density of the outer hollow cylinder. (2 Marks) le) Question 2) A co-axial structure of infinite length has an inner conductor radius: a-0.4 mm and an outer conductor radius: b-2.4 mm. The outer conductor is grounded, and the inner conductor has a potential of 20 volts with respect to the outer conductor. The space between the conductors is filled with a dielectric: ε 64. i) Use Laplace's Equation to obtain an expression for the electric potential between the inner b). (2 Marks) i) Using part i, obtain an expression for the electric field in the same region. Hint: E. (2 ii)Using the information in parts i and i, determine the capacitance per meter of the structure and outer conductors as a function of distance from the center axis of the co-axial structure (Le.V(p)for the region.(a Marks) (2 Marks)

Answer 1