Spring 2011 Exam I Physics 212. described below. The next four questions pertain

Question

Spring 2011 Exam I Physics 212. described below. The next four questions pertain to the situation A solid insulating long cylinder, concentric with the y axis, has a net charge q -+50 HC over a length L 2.5 m, and a uniform distribution of charge throughout its volume ro 6 cm. The cylinder from 0 to r length Lis very large compared to ro thus will be treated as an infinitely long cylinder. LI Note: The diagram is not drawn to scale. T 14. What is the magnitude of the electric field E at r 2ro a) 1.44 x 106 NC b) 2.70 x 106 NIC c) 3.00 X 106 N/C d) 7.50 x 106 N/C e) 3.13 x 107 N/C 15. Which one of the following plots best represents the radial dependence of the magnitude of the electric field?

Explanation / Answer

Given

charge Q = 50*10^-6 C

   r0= 6cm 2r0 = 12cm = 0.12 m
  
we know that the electric field at 2r0 outside the cylinder is

   E = kQ/r^2

   E = 9*10^9*50*10^-6/(0.12)^2

   E = 31250000 N/C

   E = 3.125*10^7 N/C

   E = 3.13*10^7 N/C
Answer is (e)

with-in the cylinder the electric field is proportional to the distnce from the center.

so the graph which is suitable for the given situation is

third one

14.
E = 3.13*10^7 N/C
Answer is (e)

15.

graph c

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