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Q.

In a region, the potential is represented by V(x,y,z)=6x–8xy+6yz, where V is in volts and x,y,z are in metres. The electric force (in N) experienced by a charge of 2 coulomb situated at point (1,1,1) is

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a

30 N

b

65N

c

24 N

d

411

answer is D.

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Detailed Solution

V(x,y,z) = 6x–8xy+6yz
E→=−i∂v∂x−j∂v∂y−k∂v∂z
= –i(6-8y) –j(8x+6z) –k(6y)
E→(1,1,1)=2i^+2j^−6k^|E→|=22+22+62=211

F=qE=411N

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