hw9-sol - Physics 435 Fall 2010 Homework#9 r 1 Consider a surface current of the form K = k s on the z=0 plane and a thin annulus in the region a < s <

hw9-sol - Physics 435 Fall 2010 Homework#9 r 1 Consider a...

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Page 1 of 4 Physics 435 Fall 2010 Homework #9 1) Consider a surface current of the form ˆKk s=ron the z=0 plane and a thin annulus in the region asa<<+ Δa) Calculate the total current flowing into and out of the annulus and use these currents to compute /Qtwhere Q is the total charge in the annulus, 222 . b) Use the result of part a) to compute tσ∂ /∂for the annulus in terms of k and Δwork to lowest non-vanishing order in Δ . c) Show your result is consistent with the “surface” version of the continuity equation . 2) Calculate the pressure on a patch of surface current at an angle θfrom a spinning ball of radius R. Recall
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