ele401week6

# ele401week6 - ELE401 - Field Theory: Tutorial Problems Week...

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ELE401 - Field Theory: Tutorial Problems Week 6 1. Develop the expression for C the capacitance for the following geometries by assuming a charge + Q on one surface and - Q on the other conducting surface. (a) Figure 1 shows a concentric conducting cylinders with an inner radius ρ = a and an outer cylinder radius ρ = b . Assume inner cylinder carries + Q [ C ] of charge, therefore the outer one has - Q [ C ]. Develop the expression for C by i. Solving for ~ D then ~ E ii. Next develop V ab iii. Finally C = Q V ab x y z L a b Material between has Figure 1: A concentric conducting cylinders (b) Figure 2 shows the cross section of concentric conducting spheres (shells). Assume inner shell carries + Q [ C ]; then outer carries - Q [ C ]. Solve for: i. Solve for ~ D , then ~ E ii. Next the Voltage V ab of the shells 1

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iii. Finally C the capacitance (c) (1a) may be recalculated if V ( a ) = V o and V ( b ) = 0. (d) (1b) can be reworked when the voltage is known i.e.
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## This note was uploaded on 04/17/2008 for the course ELE 401 taught by Professor Forgot during the Spring '08 term at Ryerson.

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ele401week6 - ELE401 - Field Theory: Tutorial Problems Week...

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