How Does a Positively Charged Oil Drop Behave in a Uniform Electric Field?

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A positively charged oil drop in a uniform electric field experiences an electric force of 8.60 × 10−16 N and an electric field magnitude of 153 V/m. The correct calculation for the charge on the drop, expressed in terms of elementary charge e, is 35e. The user initially attempted to use the formula F = Eq but incorrectly calculated the charge as 5.6 x 10−18 N. The correct approach requires dividing the charge by the elementary charge value of 1.6 x 10−19 C to express it in terms of e.

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A positively charged oil drop is injected into a region of uniform electric field between two oppositely charged, horizontally oriented plates. If the electric force on the drop is found to be 8.60 × 10−16 N and the electric field magnitude is 153 V/m, what is the magnitude of the charge on the drop in terms of the elementary charge e?


The correct answer should be 35e, but I am not getting it.

My attempt:
I tried the equation
F = Eq
8.60 × 10−16 N = (153 V/m)(q)
q = 5.6 x 10-18 N

Then I used
e = q/k
e = 5.6 x 10-18 N / 8.99 x 10^9

which does not give me the right answer
 
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kbyws37 said:
I tried the equation
F = Eq
8.60 × 10−16 N = (153 V/m)(q)
q = 5.6 x 10-18 N
Good :smile:
kbyws37 said:
Then I used
e = q/k
e = 5.6 x 10-18 N / 8.99 x 10^9
Not so good. I don't know where you got that equation from, but to express your charge in terms of elementary charges, you have to divide through by the value of the elementary charge (1.6x10-19 C).
 

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