( A ) The current density across a cylindrical conductor of radius R varies according to the...
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A The current density across a cylindrical conductor of radius R varies according to the equation j jo r R where r is the distance from the axis. Thus the current density is a maximum joat the axis r and decreases linearly to zero at the surface ~ R Calculate the total current Ithrough the wire in terms of jo and the conductor's crosssectional area A R Hint: Dividethe crosssection of the wire into little donuts annuli of inner radius r and outer radius r drThen use an integral to add up all the pieces of current dI r contained in each annulus.!B Suppose that, instead, the current density is a maximum jo at the surface and decreases linearly to zero at the axis, so that j jorR Now calculate the current. Why is the current larger you should find it's twice as large than in part A
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Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
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