A) 8 along positive X-axis
B) 16 along negative X-axis
C) 16 along positive X-axis
D) 8 along negative X-axis
Correct Answer: D
Solution :
We know that \[\mathbf{E}=-\left[ \mathbf{i}\frac{\partial V}{\partial x}+\mathbf{j}\frac{\partial V}{\partial y}+\mathbf{k}\frac{\partial V}{\partial z} \right]\] So, \[\mathbf{E}=-\mathbf{i}\frac{\partial V}{\partial x}=-\mathbf{i}\frac{\partial }{\partial z}(4{{x}^{2}})\] \[=-8x\,\mathbf{i}\,\text{V}\,{{\text{m}}^{-1}}\] \[{{\mathbf{E}}_{(1,0,2)}}=-8\,\mathbf{i}\,\text{V}{{\text{m}}^{-1}}\]
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