If W = ϕ + iΨ represents the complex potential for an electric fiel – McqOptions

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1.	If W = ϕ + iΨ represents the complex potential for an electric field.Given \(\Psi =x^2-y^2 + \dfrac{x}{x^2 +y^2}\), then the function ϕ is
A.	\(-2xy+ \dfrac{x}{x^2+y^2}+C\)
B.	\(- 2{\rm{xy}} + \frac{{\rm{y}}}{{{{\rm{x}}^2} + {{\rm{y}}^2}}} + {\rm{c}}\)
C.	\(2xy - \;\frac{y}{{{x^2} + {y^2}}}+c\)
D.	\(2{\rm{xy}} - \frac{{\rm{x}}}{{{{\rm{x}}^2} + {{\rm{y}}^2}}} + {\rm{c}}\)
Answer» C. \(2xy - \;\frac{y}{{{x^2} + {y^2}}}+c\)

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