1.

4. The electrical potential at a point (x, y, z) is givenby V = –x2y – xz3 + 4The electric field E-at that point is(1) ( ) 32 2 E xy z i x j xz k = + ++ 2 3 ˆˆ ˆ -(2) ( )( ) 22 2 E xyi x y j xz y k = ++ + − 2 3 ˆˆ ˆ -(3) 3 2 E z i xyzj k =+ + ˆ ˆˆ 3 -(4) ( ) 3 22 E xy z i xy j z xk = −+ + 2 3 ˆˆ ˆ

Answer» 4. The electrical potential at a point (x, y, z) is given
by V = –x2y – xz3 + 4
The electric field E
-

at that point is
(1) ( ) 32 2 E xy z i x j xz k = + ++ 2 3 ˆˆ ˆ -

(2) ( )( ) 22 2 E xyi x y j xz y k = ++ + − 2 3 ˆˆ ˆ -

(3) 3 2 E z i xyzj k =+ + ˆ ˆˆ 3 -

(4) ( ) 3 22 E xy z i xy j z xk = −+ + 2 3 ˆˆ ˆ


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