If W = ϕ + iΨ represents the complex potential for an electric field.

Given , then the function ϕ is

This question was previously asked in
UPSC ESE 2017 Paper 1
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Answer (Detailed Solution Below)

Option 2 :
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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Concept:

From CR equations,

Calculation:

Integrating w.r.t ‘x’ by keeping y constant

Integrating w.r.t ‘y’ by keeping x constant 

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