Potential Gradient and Relation between Electric Field and Potential
Electric pote...
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=−(6−8y2),Ey=−dVdy=−(−16xy−8+6z Ez=−dVdz=−(6y−8z) At origin x = y = z = 0 so, Ex=−6,Ey=8 and Ez=0 ⇒E=√E2x+E2y=10N/C. Hence force F=QE=2×10=20N