Calculate the voltage at a point

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AI Thread Summary
To calculate the electric potential at points P and M, the relevant formula is V = q/(4πεr). The discussion clarifies that the electric field (E) is not necessary for finding voltage, as voltage is a scalar quantity and does not have direction. The correct approach involves simply summing the potentials from different charges, leading to the equation V = V1 + V2. It is emphasized that direction does not matter when calculating electric potential. Understanding these concepts is crucial for solving similar problems in electrostatics.
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Homework Statement


Calculate the electric potential at (a) point P in the first figure, and (b) point M in the second.
http://www.usi.edu/science/physics/pickett/206/5p3f1.jpg

Homework Equations



V=\frac{q}{4\piεr}
E=\frac{q}{4\piεr^{2}}

The Attempt at a Solution


I'm not sure if E is really necassaryt, but I wasn't sure how else to get the direction right. So I did the vector stuff with E and got
\vec{E}=<0,\frac{-q}{2\pi\epsilon(.75)a^{2}}>

Now I'm stuck and don't know how to get to voltage
 
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You don't need the electric field - just use the definition of V.
 
Is it as easy as adding the two V's up?
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V_{1}+V_{2}=V
So the answer would be
V=\frac{q}{2\pi\epsilon a}

Does direction not matter?
 
Yes, you just add them up.
The potential is a scalar, not a vector, so it doesn't have a direction.
 
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