(a) What is the total charge? nC (b) Find the electric field on the x axis at x
ID: 2125512 • Letter: #
Question
(a) What is the total charge?
nC
(b) Find the electric field on the x axis at x = 6 m.
N/C
(c) Find the electric field on the x axis at x = 12 m.
N/C
(d) Find the electric field on the x axis at x = 270 m.
N/C
(e) Find the field at x = 270 m, using the approximation that the charge is a point charge at the origin.
N/C
Compare your result with that for the exact calculation in part (d).
(field for the point charge divided by the field for the line charge)
A uniform line charge of linear charge density = 2.6 nC/m extends from x = 0 to x = 5 m.Explanation / Answer
a) lamda = Q/L
==> Q = lamda*L = 2.6 nc *5 = 13 nC
b) E = (lamda/2*pie)*(1/r + 1/(L+r) ) = (lamda/2*pi*e)*(1/1 + 1/6)
= 54.6 N/C
c) E = (lamda/2*pie)*(1/r + 1/(L+r) ) = (lamda/2*pi*e)*(1/6 + 1/11)
= 10.58 N/C
d)E = (lamda/2*pie)*(1/r + 1/(L+r) ) = (lamda/2*pi*e)*(1/285 + 1/290)
= 0.35 N/C
e) E = k*Q/r^2 = 0.0016 N/C
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