LC-5 A line of length L with constant linear charge density +(C/m) lies on the x axis. A point P lies on the perpendicular bisector of the line (the y axis). a) Show the details of the symmetry argument (pick dq's and show their dE's) to explain which of the two components (x or y) of the net field at point P are equal to zero due to the entire line of charge. Use the figure in your explanation. Explicitly state which variables must be equal. +2 a X b) Apply Coulomb's Law, E=K, to find the net E due to the entire line of charge at point P. Kq Get this answer in terms of only the symbols K, L, a, λ (not in terms of any angle).

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LC-5 A line of length L with constant linear charge
density +λ(C/m) lies on the x axis. A point P
lies on the perpendicular bisector of the
line (the y axis).
a) Show the details of the symmetry argument
(pick dq's and show their dE's) to explain
which of the two components (x or y)
of the net field at point P are equal to
zero due to the entire line of charge. Use
the figure in your explanation. Explicitly
state which variables must be equal.
+2
ad
P|__V
X
b) Apply Coulomb's Law, E- to find the net E due to the entire line of charge at point P.
Kq
r²
Get this answer in terms of only the symbols K, L, a, λ (not in terms of any angle).
Transcribed Image Text:LC-5 A line of length L with constant linear charge density +λ(C/m) lies on the x axis. A point P lies on the perpendicular bisector of the line (the y axis). a) Show the details of the symmetry argument (pick dq's and show their dE's) to explain which of the two components (x or y) of the net field at point P are equal to zero due to the entire line of charge. Use the figure in your explanation. Explicitly state which variables must be equal. +2 ad P|__V X b) Apply Coulomb's Law, E- to find the net E due to the entire line of charge at point P. Kq r² Get this answer in terms of only the symbols K, L, a, λ (not in terms of any angle).
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