Question

 Problem 13: An electric current is flowing through a long cylindrical conductor with radius a = 0.75 m The current density J=4.5 A/m² is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB.

 Part (a) When r is less than a, express the current inside the imaginary cylinder I, in terms of r and J.

 Expression:

 Select from the variables below to write your expression. Note that all variables may not be required.

 α, β, μο. π, θ, a, d, g, h, I, J, m, P, r,t

 Part (b) Express the magnitude of the magnetic field B at r in terms of the current through the imaginary cylinder I, and its radius r.

 Expression:

 Br<a

 Select from the variables below to write your expression. Note that all variables may not be required.

 α, β. μο, π, θ, a, d, g. h, L,, J, J,, m,r,t

 Part (c) Express B in terms of J and r.

 Expression:

 Br<a

 Select from the variables below to write your expression. Note that all variables may not be required.

 α, β, μο. π, θ, a, d, g, h, I, J, m, P, r, t

 Part (d) Forr=0.5 a, calculate the numerical value of B in Tesla.

 Numeric: A numeric value is expected and not an expression

 B(r-0.5a) =

 Part (e) When is greater than a, express the current inside the imaginary cylinder in terms of r, a and J.

 Expression:

 Select from the variables below to write your expression. Note that all variables may not be required.

 β. 7, μο, π, θ, a, d, g. h, 1, J, m, P, r, t

 Part (f) Express the magnitude of the magnetic field, B, at r > a in terms of I and r.

 Expression:

 Br>a

 Select from the variables below to write your expression. Note that all variables may not be required.

 α, β. μο. π, θ, a, d, g. h, I, J, m, P, r, t

 Part (g) Express B in terms of J, a and r.

 Expression:

 Br>a

 Select from the variables below to write your expression. Note that all variables may not be required.

 β. μο, π, θ, a, d, g, h, 1, J, m, n, P. r, t

 Part (h) Forr=2 a, calculate the numerical value of B in Tesla.

 Numeric: A numeric value is expected and not an expression.

 B(r=2a) =

Answer 1