1) The figure on the right shows a cross section of a thick-walled copper pipe (

Question

1) The figure on the right shows a cross section of a thick-walled copper pipe (inner radius a and outer radius b ) centered on the -axis and carrying a current density of magnitude J(r )=Br . (The parameter B has units A/m3.) A wire runs parallel to the pipe a distance R= 2b away from the -axis.

(a) What is B=|B |, the magnetic field magnitude, inside the pipe ( r<a), inside the copper itself (a<r<b ), and outside the pipe (r>b )?

(b) Sketch a plot of the field magnitude B( r). Be sure to clearly label the axes of your plot, the value of the maximum B(max), the inner and outer radii a and b, and how B(r) depends on in each region described in part (a). (c) Suppose that a current flows i(w) in the wire at R=2b . What force per unit length does the wire exert on the pipe if i(w) flows in the same direction as the total current in the pipe? Express your answer in terms of a,b,B i(w), ,R and constants.

Explanation / Answer

figure? give me a web link to the figure

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