A) \[V=-(x+y)+\]constant
B) \[V=\]constant
C) \[V=-({{x}^{2}}+{{y}^{2}})+\]constant
D) \[V=-xy+\]constant
Correct Answer: D
Solution :
We know that \[dV=-\mathbf{E}\cdot \mathbf{dr}\] \[=-(y\mathbf{i}+x\mathbf{j})\cdot (\mathbf{i}dx+\mathbf{j}dy+\mathbf{k}dz)\] \[=-(ydx+nxdy)\] \[dV=-d(xy)\] Integrating both sides, we get \[V=-xy+\]constantYou need to login to perform this action.
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