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A very long conducting cylindrical rod of length L = 30 m with a total charge q

ID: 2274720 • Letter: A

Question

A very long conducting cylindrical rod of length L = 30 m with a total charge q = 4.00

A very long conducting cylindrical rod of length L = 30 m with a total charge q = 4.00 times 10-3 C is surrounded by a conducting cylindrical shell (also of length L and inner radius of 0.195 cm and outer radius of 0.500 cm) with total charge -2q, as shown in the section in the figure (Note that the central rod is exaggerated and the shell is much thicker than shown in the figure). Use Gauss' law to find the electric field at points outside the conducting shell, and evaluate the field at r = 1.000 cm. Find the distribution of charge on the conducting shell. What is the charge on the inner surface? What is the charge on the outer surface? Find the electric field in the region between the shell and rod and evaluate the field at r = 0.098 cm.

Explanation / Answer

A very long conducting cylindrical rod of length L = 30 m with a total charge q = 4.00