- #1
jehan60188
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Homework Statement
4 charges, distributed as follows
12*10[itex]^{-6}[/itex] C @ (-4,4)
12*10[itex]^{-6}[/itex] C @ (4,4)
-6*10[itex]^{-6}[/itex] C @ (-4,-4)
-3*10[itex]^{-6}[/itex] C @ (4,-4)
Calculate the potential at the origin if the potential at infinity is zero.
Homework Equations
V= U/q = -W/q = ∫E*dl = k*q/r
for multiple point charges, find V for each one, and sum them up
The Attempt at a Solution
[itex]V1 = V2 = \frac{k*12*10^{-6}}{(4*\sqrt{2}/2)} [/itex]
[itex]V3 = \frac{k*-6*10^{-6}}{(4*\sqrt{2}/2)} [/itex]
[itex]V4 = \frac{k*-3*10^{-6}}{(4*\sqrt{2}/2)} [/itex]
[itex]V1+V2+V3+V4 = \frac{k*3*10^{-6}}{4*\frac{\sqrt{2}}{2}}*(4+4-2-1) = 47676.7
[/itex]
So, I factor out the k, the 3*10e-6, and the 1/(r) from each Vi, then multiply it by 4+4-2-1 =5
this answer is not right. Any pointers?
thanks!]