If potential(in volts ) in a region is expressed as V x , y , z = 6 x y - y + 2 y z , the electric field(in N C - 1 ) at point 1 , 1 , 0 is

Question

If potential(in volts ) in a region is expressed as V x , y , z = 6 x y - y + 2 y z , the electric field(in N C - 1 ) at point 1 , 1 , 0 is, - 6 i ^ + 5 j ^ + 2 k ^ ., - 2 i ^ + 3 j ^ + k ^ ., - 6 i ^ + 9 j ^ + k ^ ., - 3 i ^ + 5 j ^ + 3 k ^ .

MARKS App · Accepted Answer

V = 6 x y - y + 2 y z E → = - ∂ V ∂ x i ^ + ∂ V ∂ y j ^ ∂ V ∂ z k ^ E → = - 6 y i ^ + 6 x - 1 + 2 z j ^ + ( 2 y ) k ^ E → ( 1 , 1 , 0 ) = - 6 i ^ + 5 j ^ + 2 k ^

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