The point form of Gauss law is given by, Div(V) = ρv
a) True
b) False
Q.2.
If a function is said to be harmonic, then
a) Curl(Grad V) = 0
b) Div(Curl V) = 0
c) Div(Grad V) = 0
d) Grad(Curl V) = 0
Q.3.
The Poisson equation cannot be determined from Laplace equation. State True/False.
a) True
b) False
Q.4.
Given the potential V =sin θ, in free space, determine whether V satisfies Laplace’s equation.
a) Yes
b) No
c) Data sufficient
d) Potential is not defined
Q.5.
If a potential V isat 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.
a) 0.875
b) 0.675
c) 0.475
d) 0.275
Q.6.
Find the Laplace equation value of the following potential field
a) 0
b) 2
c) 4
d) 6
Q.7.
Find the Laplace equation value of the following potential field
a) 0
b) 1
c) 2
d) 3
Q.8.
Find the Laplace equation value of the following potential field
a) 3
b) 2
c) 1
d) 0
Q.9.
The Laplacian operator cannot be used in which one the following?
a) Two dimensional heat equation
b) Two dimensional wave equation
c) Poisson equation
d) Maxwell equation
Q.10.
When a potential satisfies Laplace equation, then it is said to be
a) Solenoidal
b) Divergent
c) Lamellar
d) Harmonic
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