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 with a field strength of 153 V/m. To find the charge on the drop, the equation F = Eq is used, leading to a calculated charge of 5.6 x 10−18 C. However, to express this charge in terms of the elementary charge e, it should be divided by 1.6 x 10−19 C instead of using the incorrect equation involving k. The correct calculation shows that the charge on the drop is 35e. Accurate application of the formulas is crucial for determining the charge correctly.
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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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