question_answer

The potential field depends on the \[x\]- and \[y\]coordinates as \[V={{x}^{2}}-{{y}^{2}}\]. The corresponding electric field lines in \[xy\] plane are as

A)          

B)

C)             

D)

Correct Answer: A

Solution :

[a] \[V={{x}^{2}}-{{y}^{2}}\] \[{{E}_{x}}=-\frac{dV}{dx}=-2x\] \[{{E}_{y}}=2y\]