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"#