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Q.

In a region, the potential is represented by V(x, y, z) = 6x- 8xy-8y+6yz,where V is in volts and x , y,z are in metres. The electric force experienced by a charge of2 coulomb situated at point ( 1, 1, 1) is :

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a

65N

b

30 N

c

24 N

d

235 N

answer is D.

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Detailed Solution

E→=∂V∂xi^-∂V∂yj^-∂V∂zk^=-[(6-8y) i^+(-8x-8+6z) j^+(6y) k^]At(1, 1, 1); E→=2i^ + 10j^-6k^⇒E→=22+102+62 =140= 235

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