Use Gauss’ Law to determine what the electric field of a point charge would be as a function of position if the universe had four spatial dimensions rather than three.
Use Gauss’ Law to determine what the electric field of a point charge
would be as a function of position if the universe had four spatial dimensions rather than three.
In other words determine E⇀(x⇀)E⇀(x⇀) for a point charge, with x⇀=(x1,x2,x3,x4)x⇀=(x1,x2,x3,x4) a vector of four spatial coordinates.
Hint: remember the symmetry of a point charge!
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