(a) Find the total charge. Find the electric field on the y axis at the followin
ID: 2125533 • Letter: #
Question
(a) Find the total charge.
Find the electric field on the y axis at the following distances.
(b) y = 4 cm
(c) y = 12 cm
(d) y = 4.5 m
(e) Find the field at y = 4.5 m, assuming the charge to be a point charge.
A uniform line charge extends from x = - 2.3 cm to x = + 2.3 cm and has a linear charge density of = 6.1 nC/m. Find the total charge. Find the electric field on the y axis at the following distances. y = 4 cm y = 12 cm y = 4.5 m Find the field at y = 4.5 m, assuming the charge to be a point charge.Explanation / Answer
the length of line of charge is L = 2.3 + 2.3 = 4.6 cm = 4.6 x 10^-2 m
the linear charge density is lamda = 6.1 nC/m = 6.1 x 10^-9 C/m
the total charge is
q = lamda x L
the electric field at distance r from the axis is
E = k x (lamda/r)
where k = (1/4pi x e_o) = 9 x 10^9 Nm^2/C^2
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