Electrical Engineering (EE) Exam > Electrical Engineering (EE) Tests > Test: Laplacian Operator - Electrical Engineering (EE) MCQ

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Test: Laplacian Operator - Question 1

The point form of Gauss law is given by, Div(V) = ρv

State True/False.

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Test: Laplacian Operator - Question 3

The Poisson equation cannot be determined from Laplace equation. State True/False.

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Test: Laplacian Operator - Question 4

Given the potential V = 25 sin θ, in free space, determine whether V satisfies Laplace’s equation.

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Test: Laplacian Operator - Question 5

If a potential V is 2V at x = 1mm and is zero at x=0 and volume charge density is -106εo, constant throughout the free space region between x = 0 and x = 1mm. Calculate V at x = 0.5mm.

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Test: Laplacian Operator - Question 6

Find the Laplace equation value of the following potential field

V = x^{2} – y^{2} + z^{2}

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Test: Laplacian Operator - Question 7

Find the Laplace equation value of the following potential field

V = ρ cosφ + z

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Test: Laplacian Operator - Question 8

Find the Laplace equation value of the following potential field V = r cos θ + φ

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Test: Laplacian Operator - Question 9

The Laplacian operator cannot be used in which one the following?

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Test: Laplacian Operator - Question 10

When a potential satisfies Laplace equation, then it is said to be

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