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Find the Gauss value for a position vector in Cartesian system from the origin to one unit in three dimensions.(a) 0(b) 3(c) -3(d) 1The question was asked by my school teacher while I was bunking the class.I want to ask this question from Gauss Divergence Theorem in chapter Vector Calculus of Electromagnetic Theory

Answer»

Correct CHOICE is (b) 3

For EXPLANATION: The POSITION vector in Cartesian system is GIVEN by R = X i + y j + z k. Div(R) = 1 + 1 + 1 = 3. By divergence theorem, ∫∫∫3.dV, where V is a cube with x = 0->1, y = 0->1 and z = 0->1. On integrating, we get 3 units.



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