Question 14 (F): Figure 7 depicts two parallel cylinders of (mobile) charge that have somehow been deposited within a li

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Question 14 F Figure 7 Depicts Two Parallel Cylinders Of Mobile Charge That Have Somehow Been Deposited Within A Li 1 (80.72 KiB) Viewed 11 times

Question 14 (F): Figure 7 depicts two parallel cylinders of (mobile) charge that have somehow been deposited within a linear, isotropic, homogeneous conductor with conductance o. The surface charge density on each is uniform, and the linear charge density at t= 0 is de on the cylinder of radius a, and - lo on the cylinder of radius b. a) Show that the current density is zero for s < a and for s >b, and that ola(t)s Īſa < s <b,t) = 2πεος where laſt) is the linear charge density of the cylinder of radius a at time t. b) Show that da(t) = de est c) Show that do(t) = - det = where lo(t) is the linear charge density of the cylinder of radius b at time t. d) Show that for a < s <b, the charge density is zero always. e) Show that ở x B = 0 for a < s <b. =