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lmlgrey
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http://capa.mcgill.ca/res/mcgill/dcmcgill/oldproblems/newerlib/Graphics/Gtype51/prob19a.gif[/URL]
1. A charge Q = 8.10 ×10-4 C is distributed uniformly along a rod of length 2L, extending from y = -11.4 cm to y = +11.4 cm, as shown in the diagram 'on your assignment above. A charge q = 1.80 ×10-6 C, and the same sign as Q, is placed at (D,0), where D = 17.5 cm.
Use integration to compute the total force on q in the x-direction
It is already proven that :
The magnitude of the force on charge q due to the small segment dy is
dF=(kqQ/2Lr2)dy.
3. Given what's already proven that for a small dy:
dF = (kqQ/2Lr2)dy
so i integrated both sides and i got:
∫dF = k*q*Q / 2L ∫ 1/r^2 dy
since r^2 = D^2+y^2
therefore the function becomes:
∫dF = k*q*Q / 2L ∫ 1/D^2+y^2 dy
now what should i do next? and the equation i derived, was it right at the first place?
THANKS!
1. A charge Q = 8.10 ×10-4 C is distributed uniformly along a rod of length 2L, extending from y = -11.4 cm to y = +11.4 cm, as shown in the diagram 'on your assignment above. A charge q = 1.80 ×10-6 C, and the same sign as Q, is placed at (D,0), where D = 17.5 cm.
Use integration to compute the total force on q in the x-direction
It is already proven that :
The magnitude of the force on charge q due to the small segment dy is
dF=(kqQ/2Lr2)dy.
3. Given what's already proven that for a small dy:
dF = (kqQ/2Lr2)dy
so i integrated both sides and i got:
∫dF = k*q*Q / 2L ∫ 1/r^2 dy
since r^2 = D^2+y^2
therefore the function becomes:
∫dF = k*q*Q / 2L ∫ 1/D^2+y^2 dy
now what should i do next? and the equation i derived, was it right at the first place?
THANKS!
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