1.

In a certain region, the electric potential is given by the formula V(x ,y, z) = 6xy - y + 2yz Find the components of electric field and the vector electric field at point (1, 1, 0) in this field. Find the vector of electric at (1, 1, 0).

Answer»

`-(6hati+9hatj+HATK)`
`-(3hati+5hatj+3hatk)`
`-(6hati+5hatj+2hatk)`
`-(2hati+3hatj+hatk)`

Solution :`vecE=-((delV)/(delx)HATI+(delV)/(dely)hati+(delV)/(delz)hatk)`
`=-[(6y)hati+(6x-1+2z)HATJ+(2Y)hatk]`
(1,1,0) ( NEAR point)
`vecE= -[6hati +(6-1+0) hatj+2hatk]`
`vecE = - [6 hati+5hatj+2hatk]`


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