If the electric potential is given by V = (-1 volts/m4 )x2yz + (4 volts/m2)yz, find the electric field.

Answer 1

E= - gradφ=
= - {(δφ/δx)i̅+(δφ/δx)j̅ + (δφ/δx)k̅}=
= 2yz• i̅ –(4z-2xz)• j̅–(4y-2xy)•k̅.

Answer 2

E= - gradφ=
= - {(δφ/δx)i̅+(δφ/δy)j̅ + (δφ/δz)k̅}=
= 2yz• i̅ –(4z-2xz)• j̅–(4y-2xy)•k̅.