Calculating Force on a 1uC Charge

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To calculate the force on a 1µC charge at point P due to two other charges, a 2*10^-8C charge at A and a 10^-8C charge at B, the forces FPA and FPB are determined using Coulomb's law. The calculations yield FPA as 2K*10^-4 and FPB as 4K*10^-4. The total force is then found through vector addition, considering the angles between the forces. However, there are concerns regarding the handling of powers of ten and unit consistency in the calculations. Accurate calculations are essential for determining the resultant force correctly.
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Homework Statement


Find Force at 1uC charge
https://i.gyazo.com/12891ce5b3adc422acc64daa6e8d3f25.png
12891ce5b3adc422acc64daa6e8d3f25.png


Homework Equations


p?image=https%3A%2F%2Fupload.wikimedia.org%2Fmath%2F3%2Ff%2F6%2F3f67479eda67aa1df0b2b44ca10a116d.png

The Attempt at a Solution


Assume 1uC charge is at point P 2*10^-8C is at A and 10^-8C is at B
FP = FPA + FPB

FPA = K*2*0.01*1/100
= 0.0002*K
= 2k* 10 ^-4

FPA = K*0.01*1/25
= 0.00004*K
= 4K x 10^-4

Now adding them using vector addition,
sqrt((4K*10^-4)^2 + (2K*10^-4)^2 + 0) --(cos(90) will be 0)
sqrt((20K*10^-16)
 

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Your handling of the powers of ten looks off (or you are using nonstandard units for force).
What's 10-6x10-8?
Later, what's (4k10-4)2?
 
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