GATE EC 2015 Set 2 — Question 34
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Electromagnetics → Maxwell's Equations → Differential & Integral Forms
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Question
In a source free region in vacuum, if the electrostatic potential , the value of constant must be ___________.
Correct answer
-3.1 to -2.9
Solution
In a source-free region in vacuum, the electrostatic potential must satisfy Laplace's equation:Given , we calculate the second-order partial derivatives:Substituting these into Laplace's equation:The value of the constant is . The provided range is to .
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