A thin rod of length L and uniform charge per unit length À lies along the x-axis with its center at the origin as shown in the figure below. y d P Bo -X O T -L- a. Show that the electric field at point P located a distance d from the rod has no x-component and has a magnitude equal to E = 2k Asin(80)/d. b. Use the previous result to show that if the rod has an infinite length, that its electric field has a magnitude equal to E = 2k ^/d.
A thin rod of length L and uniform charge per unit length À lies along the x-axis with its center at the origin as shown in the figure below. y d P Bo -X O T -L- a. Show that the electric field at point P located a distance d from the rod has no x-component and has a magnitude equal to E = 2k Asin(80)/d. b. Use the previous result to show that if the rod has an infinite length, that its electric field has a magnitude equal to E = 2k ^/d.
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Transcribed Image Text:A thin rod of length L and uniform charge per unit length A lies
along the x-axis with its center at the origin as shown in the
figure below.
(05
y
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d
P
a. Show that the electric field at point P located a distance d
from the rod has no x-component and has a magnitude equal to
= 2k Asin(80)/d.
E =
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O
L
b. Use the previous result to show that if the rod has an infinite
length, that its electric field has a magnitude equal to
E = 2k ^/d.
X
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