Question: ou have the electric potential function, V ( x , y , z ) = Axyz + By 2 + Cz 2 , V (

ou have the electric potential function,
V(x,y,z)=Axyz+By2+Cz2,V(x, y, z)= Axyz + By^2+ Cz^2,V(x,y,z)=Axyz+By2+Cz2,
where:
A=4V/m3A =4\,\text{V/m}^3A=4V/m3,
B=3V/m2B =3\,\text{V/m}^2B=3V/m2,
C=5V/m2C =-5\,\text{V/m}^2C=5V/m2.
Find EzE_zEz at the point: (2m,8.7m,2m)(2\,\text{m},8.7\,\text{m},2\,\text{m})(2m,8.7m,2m).
Answer in units of V/m\text{V/m}V/m.

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