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WorksheetsVector calculus and Electrostatics
Total questions: 15
Worksheet time: 8mins
We take gradient of
scalar
vector
both scalar and vector
function
we take divergence of a
scalar
vector
both scalar and vector
function
Physical meaning of gradient is
change in a definite direction
change in any direction
radical change in any direction
radical change in a definite direction
divergence of a vector means
flow of a vector
net flow of a vector over a surface
net flow of a vector from a volume element
outward flow of a vector
curl of a vector means
vorticity or rotation of a scalar
vorticity or rotation of a vector
rotation of a scalar or vector
rotation of any object
Guss's theorem of vector calculus connects
volume integral with surface integral
surface integral of divergence of a vector with volm integral of a scalar
surface integral of divergence of a vector with volm integral of the same vector
surface integral of divergence of a vector with volm integral of a different vector
Surface integral of curl of a vector is connected with its line integral through
Green's theorem
Stoke's theorem
Guass's theorem
Laplace's theorem
Physical meaning of Guss's law of electrostatics is
Net outward flux through a closed surface is equal to charge enclosed by the volume element
Net inward flux through a closed surface is equal to charge enclosed by the volume element
Net outward flux through a closed surface is equal to charge density enclosed
Net flux through a closed surface is equal to charge density enclosed
Differential form of Guass's law is
div.E=0
div.E=charge density/epsilon-0
div.E=charge/epsilon-0
div.E=charge/epsilon of medium
Electric monopole
can exist as div of E is non zero
can exist as div of E is zero
can not exist as div of E is non zero
can not exist as div of E is zero
Coulomb's law states that
Force on an unit positive charge by any other charge is electric field
Force on any positive charge by any other charge
Force on any charge is electric field
If a charge q is in an electric field E is
qE
qE2
q2E
q/E
Unit of Electric flux is
volt/meter
volt * meter
volt*meter square
volt*meter cube
For an electric potential V =(x2+y2+z2) , calculate the electric field at (1,1,1).
6
3
0
1
Laplacian of a potential V=x2-y2+z; at any point (1,1,1) is
3
2
0
-1
