Please show full step by step solution for full rating A cylindrical shell carri

Question

Please show full step by step solution for full rating

A cylindrical shell carries current per length K around its perimeter. The shell has radius r and length L >> r so that it can be approximated as infinitely long. What is the magnitude of the magnetic field inside the cylinder In which direction is the magnetic field of the shell? Refer to the coordinate system on the diagram. - y + y - z + z Explain your reasoning. Redraw the shell and draw the Amperian loop appropriate for deriving the equation found in (a)? What is the total current going around the shell?

Explanation / Answer

FOLLOW THIS SAME SOLVED EXAMPLE

Given a 3.0 mm radius solid wire centered on the z-axis with an evenly distributed 2.0 amps of current in the +az direction, plot the magnetic field intensity H versus radial distance from the z-axis over the range 0 %u2264 r %u2264 9 mm.

Figure P3.17 shows the situation along with the Amperian Paths. We have:

This will be true for each Amperian path.

AP1:

So:

AP2: Ienc = I,

%   MLP0317

%   generate plot for ACL problem

a=3e-3;     %radius of solid wire (m)

I=2;        %current (A)

N=30;       %number of data points to plot

rmax=9e-3; %max radius for plot (m)

dr=rmax/N;

for i=1:round(a/dr)

    r(i)=i*dr;

    H(i)=(I/(2*pi*a^2))*r(i);

end

for i=round(a/dr)+1:N

    r(i)=i*dr;

    H(i)=I/(2*pi*r(i));

end

plot(r,H)

xlabel('rho(m)')

ylabel('H (A/m)')

grid on

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