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Question

Electric potential is given by
V=6x−8xy2−8y+6yz−4z2
Then electron force acting on 2C point charge placed on origin will be

A
2 N
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B
6 N
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C
8 N
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D
20 N
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Solution

The correct option is D 20 N
Ex=dVdx=(68y2),Ey=dVdy=(16xy8+6z
Ez=dVdz=(6y8z)
At origin x = y = z = 0 so, Ex=6, Ey=8 and Ez=0
E=E2x+E2y=10 N/C.
Hence force F=QE=2×10=20N

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