MesteringPhynics Chapter 21 part 2-Google Chrome https//session PHY 2049C Jerous
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Question
MesteringPhynics Chapter 21 part 2-Google Chrome https//session PHY 2049C Jerousek Spring 2016 cs.com itemView?assignmentProblemiD 59074705 e previous | 9 of 17 e Exercise 21.54 Part A Find the magnitade and direction of the electric field this wire produces at a point 5.50 em directly above its midpoint A straight, nonconducting plastic wire850 c long carries a change density of 130 C/ Sistibuted uniformly along its length It is lying on a horizontal tabletop E 3.05.10 N/C Incorrect; Try Again; 4 attempts remaining Part B electic Seid is d ected upward electric field is directed downwand Correct Part C l the wine is now bent nto a circle lying fat on the table, find the magnitude and direction of th electric field it produces at a point 5 50 cn directly above its center E 3.28 10 N/C @pns itas. FL.Fram s,FL Fom your Interet address Use addess Use precise location Leam more Hep Send feedbick Pivacy TermsExplanation / Answer
a) Find the magnitude and direction of the electric field this wire produces at a point 5.5 cm directly above its midpoint.
Draw a Gaussian surface which may be a hollow cylinder with the rod at its central
axis. Then apply Gauss's law:
E = Q/2roL = L/2rL = /2or
E = 130x10^-9/[2*(0.055)*8.85x10^-12 = 4.25x10^4 N/C
Due to symmetry the horizonal component of the field cancel each other.
Therefore, only the vertical component of the field exist.
(Ey) = Esin,
= arctan{r/(L/2) = arctan{2*0.55/0.085} = 85.58 deg.
(Ey) = (4.25x10^4)sin85.58 = 4.237x10^4 N/C