The figure below is a section of a conducting rod of radius R1 = 1.30 mm and len
ID: 1760667 • Letter: T
Question
The figure below is a section of a conducting rod of radius R1 = 1.30 mm and length = 11.00 m inside a thick-walled coaxial conducting cylindrical shell of radius R2 = 10.0R1 and the (same) length . The net charge on the rod is Q1 = + 3.70 times 10-12C that on the shell is Q2 = -2.00Q1. What is the magnitude E of the electric field at a radial distance of r = 3.50R2? 233506493.5 n/C What is the direction of the electric field at that radial distance? inward What is the magnitude E of the electric field at a radial distance of r = 3.50R1? N/CExplanation / Answer
Given that
R1 =1.30mm
R2 =10.0R1
= (100)(1.30mm)
= 13.0 mm
L = 11.0m
Q1 =3.70*10-12C
Q2 =-2Q1
= -2(3.70*10-12C)
=-7.40*10-12C
(a)
Given that r = 3.50R2
= (3.50)(13.0mm)
= 45.5mm = 45.5*10-3m
From the Gauss's law we have 2orLE =-Q1
Q1 = 3.70*10-12C
r = 45.5*10-3m
L = 11.0m
(c)
In this part given that r = 3.50R1
=(3.50)(1.30mm)
= 4.55mm = 4.55*10-3m
From the Gauss's law we have 2orLE =-Q1
E = -Q1 / (2orL)
Here 1 / 2o =18.0*109N.m2/C2
Q1 = 3.70*10-12C
r = 4.55*10-3m
L = 11.0m
Do the calculationwork.
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