b) A uniformly charged rod has length L and charge Q as shown below. a L (i) Find the electric field vector at point P above center of rod. The distance from center of rod to point P is a. (ii) Using the results from part (i) above, show that for an infinite rod (L → ∞) the electric field at point P is given by %3D 2ne,a where A = Q/L is the linear charge density.
b) A uniformly charged rod has length L and charge Q as shown below. a L (i) Find the electric field vector at point P above center of rod. The distance from center of rod to point P is a. (ii) Using the results from part (i) above, show that for an infinite rod (L → ∞) the electric field at point P is given by %3D 2ne,a where A = Q/L is the linear charge density.
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Transcribed Image Text:b) A uniformly charged rod has length L and charge Q as shown below.
P
a
L
(i)
Find the electric field vector at point P above center of rod. The distance from center of rod to point P is a.
(ii)
Using the results from part (i) above, show that for an infinite rod (L → ∞) the electric field at point P is given by
E =
2te,a
where 1 = Q/L is the linear charge density.
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