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Thursday, October 23, 2014

29: Problem 29.76

INTRO: The electric potential in a region of space is V=100(x2−y2) V, where x and y are in meters.

PART A:
Find an expression for the electric field E⃗ at position (x,y).
Enter your answers separated by a comma.

SOLUTION: 
The formula for this is E=-∇V
∇V=<∂V/∂x, ∂V/∂y>
∂V/∂x = 200x
∂V/∂y = -200y
E(x,y)=<-200x, 200y>

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