Electric Potential ?

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Answer 1 · 2017-11-30T19:29:36

We know that

$vecE = -(delV)/(delx)hati-(delV)/(dely)hatj-(delV)/(delz)hatk$

$:.$

$V = -intE_xdx-intE_ydy-intE_zdz$

We are given that $E_x = 2x^3$ , $E_y= -3x^2y$ , and $E_z = 2yz^2$ :

$V = -int2x^3dx+int3x^2ydy-int2yz^2dz$

$V = -1/2x^4+3/2x^2y^2-2/3yz^3$

Evaluate at the point #(1,3,-1)

$V = -1/2(1)^4+3/2(1)^2(3)^2-2/3(3)(-1)^3$

$V = 15" V"$