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#1 2010-07-02 03:52:38

Thrax
Member
Registered: 2010-07-02
Posts: 1

Electrostatic charges

Hi, Im working on the following question.
A 64 µC charge is located 30cm to the left of a 16 µC charge. What is the resultant force on a -12 µC charge positioned exactly 50mm below the 16 µC charge?

I set it up like this.
a                   .3m                b
64 µC ---------------------------16 µC
                                             i
                                             i
                                             i     .05m
                                             i
                                           -12 µC
                                             c
So I tried to solve using the vector components as follows
Fac=9.0e9(65x10e-6 * 12x10e-6)/(.3^2+.05^2) = 74.72C
Fbc = 9.0e9(16x10e-6 * 12x10e-6)/(.05^2) = 691.2C

I'm not sure where to go from here...I've tried to solve is a number of times but cant get the correct answer. I think when i set the problem up to solve for the vectors I'm doing it wrong.

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#2 2010-07-02 11:13:19

sarigama
Member
Registered: 2010-02-06
Posts: 9

Re: Electrostatic charges

Angle bac = arctan(0.05/0.3) = 9.3 degrees.

Resultant force Fr = sqrt[ (Fac)^2 + (Fbc)^2 + 2*Fac*Fbc*cos(9.3)]

Substitute the values and find the resultant.

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