An infinitely long hollow coducting cylinder with inner radius R/2 and outer radus R carries a uniform current density along its length. The magnitude of the magnetic field |B| as a function of the radial distance r from the axis is best represented by
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Given- For infinitely long cylinder,
inner radius=R/2
outer radius=R
To find - The magnitude of the magnetic field |B| as a function of the radial distance r from the axis is best represented by
solution - 1.Inside the cylinder
r<R/2 therefore B=0
2. For R/2<r<R
B=μ₀/2[r-R²/2r]j
3.for r>R
B=μ₀/2πr
Now to plot the graph
we can first draw the line on x axis till R/2 then
the graph curves upwards.
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