As shown in figure, three small charges are equally spaced on the arc circle tha
ID: 2280194 • Letter: A
Question
As shown in figure, three small charges are equally spaced on the arc circle that is centered at the charge Q, where Q = +23nC and all the other quantities are accurate to two significant figures.
A) Find the electric force each exerts on point Q.
B) Find the net electric force on Q. (Remember force ia a vector)
As shown in figure, three small charges are equally spaced on the arc circle that is centered at the charge Q, where Q = +23nC and all the other quantities are accurate to two significant figures. Find the electric force each exerts on point Q. Find the net electric force on Q. (Remember force ia a vector)Explanation / Answer
a)
Force due to each of 2nC charge on Q, F2 = K x 23 x 10^-9 x 2 x 10^-9 / 0.05^2
where K = 9 x 10^9 Nm^2/C^2
F2 = 1.656 x 10^-4 N
Similarly, F(-6) = 9 x 10^9 x (-6) x 10^-9 x 23 x 10^-9 / (0.05^2)
= -4.968 x 10^-4 N.
b)
F = 2 x F2 x Cos35 + F(-6) (Along y axis only, as along x axis the net force will be zero due to cancelling of the horizontal component of F2)
F = 2 x 1.656 x 10^-4 x Cos35 + (-4.968 x 10^-4)
= -2.255 x 10^-4 N.
where - sign represent the attractive force towards the -6nC.
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