TAMU PHYS 208 - PHYS208_Exam1spring16-Solutions (9 pages)

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208 Mid Term 1 POINTS TABLE Multiple Choice out of 20 Problem 1 out of 20 Problem 2 out of 20 Problem 3 out of 20 Problem 4 out of 20 TOTAL SCORE out of 100 v A lYS 0 1 MC 1 D MC 1 B C D E AC Li l LJY tv Cl D G v C 2 D MC3 B C 1 HCL B 1 20 marks A point charge q 80 0 nC is located at x y 2 00 m 1 00 m and a point charge q 2 60 0 nC is located at x y 0 00 2 00 m Determine the net electric field magnitude and direction at the origin of the x y coordinate system f c kA r 2 1 1 1 GOSS E S1vic i L F q 2 0 t l f x V L Cf 2 bo n 2 cos b1 1 C g Et I E l f cq 10 4 l9 SinS gol c 1V1 z S l N c 9x10 X 0 c l C Gf b 0 n i h l 2 5 wV i C t9 t y C t 4 c 135 c r l 2q t 1 c 2 4 0 t t Ji0 ti tJ rs ts 1 20 marks A point charge q 1 60 0 nC is located at x y 2 00 m 1 00 m and a point charge q2 80 0 nC is located at x y 0 00 2 00 m Determine the net electric field magnitude and direction at the origin of the x y coordinate system i a I 9 xJo 9 boV1C 2 l1s l YI rs creo lo c E 2 E2 C x 10 1 cnC fi5 l1SM 1 q x 10 1 CZSonC l t1 l 2 4 j Lt 3 Ye 30 Nfc o c lo 2 20 marks Charge Q is distributed evenly throughout the volume of an insulating sphere that has radius R Assume that the potential V O at r oo Calculate the potential at a radius of r R 3 J Q v o t r Q L t31TR21 E r 1n oK3 00 2 20 marks Charge Q is distributed evenly throughout the volume of an insulating sphere that has radius R Assume that the potential V O at r oo Calculate the potential at a radius of r R 2 Q j Q tt 3 rrR 3 f 4mr 2 f or Y L 1 41TY 2 a enc 3J J g e o G t 13 rr R 3 4 3 ln E 3 3 21 o R 3 20 marks A hollow but not necessarily empty conducting spherical shell has an inner radius of 8 00 cm and an outer radius of 10 0 cm There is an electric field at the inner surface of the shell Ei which has a magnitude of 80 0 N C