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bmarson123
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Coulomb Law and Vectors - How do you find a scalar answer from the vector form??
Two small metal spheres carry equal charges q. They are located at positions r1 = (1,1,0) nm and r2 = (0,0,0) nm and feel a repulsive force of magnitude (mod) F = 0.05 N
How much charge is on each sphere?
Write down the force on the charge at r2 in vector form.
What is the potential energy contained in this arrangement of charges?
F21 = K q1q2 / r213 * r21
First I thought I needed to convert everything into standard measurements, so metres.
But then when I put things into the equation I thought maybe stuff canceled out. But I figure I can't use F = 0.05N directly because in this equation F is a vector?
Anyway what I did was...
0.05 = K 2q / [(1,1,0) - (0,0,0)]3 * [(1,1,0) - (0,0,0)]
Then said that the vectors top and bottom cancel out so got...
0.05 = 2qk
which gave q = 2.8 x 10 -13 C
I didn't have a clue where to start with the rest of the question!
Two small metal spheres carry equal charges q. They are located at positions r1 = (1,1,0) nm and r2 = (0,0,0) nm and feel a repulsive force of magnitude (mod) F = 0.05 N
How much charge is on each sphere?
Write down the force on the charge at r2 in vector form.
What is the potential energy contained in this arrangement of charges?
Homework Equations
F21 = K q1q2 / r213 * r21
The Attempt at a Solution
First I thought I needed to convert everything into standard measurements, so metres.
But then when I put things into the equation I thought maybe stuff canceled out. But I figure I can't use F = 0.05N directly because in this equation F is a vector?
Anyway what I did was...
0.05 = K 2q / [(1,1,0) - (0,0,0)]3 * [(1,1,0) - (0,0,0)]
Then said that the vectors top and bottom cancel out so got...
0.05 = 2qk
which gave q = 2.8 x 10 -13 C
I didn't have a clue where to start with the rest of the question!