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WorksheetsEMT QUIZ
Total questions: 20
Worksheet time: 10mins
The Cartesian system is also called as
Circular coordinate system
Rectangular coordinate system
Spherical coordinate system
Space coordinate system
The volume of a parallelepiped in Cartesian is
dV = dx dy dz
dV = dx dy
dV = dy dz
dV = dx dz
Spherical coordinates are represented in terms of ___________.
(r, φ, z)
(r, θ, φ)
(x, y, z)
all of these
Cylindrical coordinate 'z' is related to the Cartesian coordinate as __________.
tan−1(y/x)
z
xy/z
cot z
In a Spherical coordinate system, φ is given as _________.
y/x
x/y
tan−1(y/x)
tan−1(x/y)
In a Spherical coordinate system, r is given as ___________.
(x + y + z)
(x2 + y2 + z2)
(x2 + y2 + z2)1/2
none
In terms of Spherical coordinate system variables, y of Cartesian coordinate system is given as ________.
r sin θ cos φ
r sin θ sin φ
r cos θ sin φ
r cos θ cos φ
In the Cylindrical coordinate system, z ranges between____________.
0 and 1
−∞ and 0
0 and −∞
−∞ and ∞
Line integral involves _________ product.
scalar
vector
both (a) an (b)
none of these
Divergence of vector field is net outward flux of a vector per unit ______.
surface area
volume
length
none of these
Divergence Theorem is applicable for a ________ that is bounded by a _________.
volume, surface
surface, volume
surface, line
line, surface
Stoke's Theorem relates, ______ integral to a _______ integral.
volume, surface
volume, line
line, surface
all of these
As per Gauss' Law, charge density inside a perfect conductor is zero if E is _________.
positive
negative
unity
zero
Electric polarization of a material is electric dipole moment per unit _________.
length
area
volume
none of these
Capacitor stores energy in _________ field.
electric
magnetic
gravity
none of these
The Coulomb law is an implication of which law?
Ampere law
Gauss law
Biot Savart law
Lenz law
“Electrical flux enclosed by a surface surrounding a charge is equal to the amount of charge enclosed.” This is the statement of
Faraday’s law
Lenz’s law
Modified Ampere’s law
Gauss’s law
Find the poisson's and Laplace equations
∇2V= −∇v/ε and ∇2V= 0
∇2V= ρ/v and ∇2V= 0
∇2V= ε and ∇2V= ρ/v
∇2V= ρ/v and ∇2V= ε
Identify the coulomb’s law
F∝ Q1Q2/Q
F∝ F1F2/r2
F∝ F1F2/Q
F∝ r1r2/Q2
Limitations of Gauss law
It can be applied only for enclosed surface
Only applicable for Gaussian surface
Symmetrical structure only possible
All above
