A) \[2N\]
B) \[6N\]
C) \[8N\]
D) \[20\,N\]
Correct Answer: D
Solution :
\[{{E}_{x}}=-\frac{dV}{dx}=-(6-8{{y}^{2}}),\]\[{{E}_{y}}=-\frac{dV}{dy}=-(-\,16xy-8+6z)\] \[{{E}_{z}}=-\frac{dV}{dz}=-\,(6y-8z)\] At origin x = y = z = 0 so,\[{{E}_{x}}=-\,6,\,{{E}_{y}}=8\]and\[{{E}_{z}}=0\] Þ \[E=\sqrt{E_{x}^{2}+E_{y}^{2}}=10\,N/C\]. Hence force \[F=QE=2\times 10=20N\]You need to login to perform this action.
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