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The electrical potential existing in space is V(x,y,z)=A(xy+yz+zx) . Find the expression for the electric field

(a)A((y+z)ˆi+(x+z)ˆj+(x+y)ˆk)(b)A(xˆi+yˆj+zˆk)(c)A((y+z)ˆi+(x+z)ˆj+(x+y)ˆk)(d)A(xˆi+yˆj+zˆk)

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