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Part A (1.5 pts) Circle the letter of the phrase that most accurately completes

ID: 1872668 • Letter: P

Question

Part A (1.5 pts) Circle the letter of the phrase that most accurately completes the sentence Consider a closed Gaussian surface (GS) in the shape of a cylinder that is coaxial with a line of charge with a uniform linear charge density, -å. The electric flux through the cylindrical surface will be: negative and through the endcaps the flux is equal and opposite. a. b. positive and through each endcap the flux is zero. c. negative and through each endcap the flux is zero. d. positive and through the endcaps the flux is equal and opposite. Part B (8.5 pts) A spherical conducting shell has an inner radius of 0.11 m and an outer radius of 0. 13 m. A point charge, Q +37x10 C, is located at the exact center of the shell. a. (3.0 pts) Consider a spherical Gaussian surface centered on the point charge, Q, with a radius just a bit larger than 0.11m. Draw it on the diagram and then using that GS prove that a total chare- -Q must exist on the inner surface of the conductor. b. (5.5 pts) Determine the magnitude of the electric field at the inner surface of the shell. (I do not expect you to use any Gaussian surface to answer this part.)

Explanation / Answer

PART A]

Electric flux through the curved surface is radially inward as the negative charges are distribute along the line. However there would be no flux through the endcaps as the surface is perpendicular to the line.

Hence correct option is C.

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