Description : Find the correct relation between current density and magnetization. a) J = Grad(M) b) J = Div(M) c) J = Curl(M) d) M = Curl(J)
Last Answer : c) J = Curl(M)
Description : The curl of curl of a vector is given by, a) Div(Grad V) – (Del) 2 V b) Grad(Div V) – (Del) 2 V c) (Del) 2 V – Div(Grad V) d) (Del) 2 V – Grad(Div V)
Last Answer : b) Grad(Div V) – (Del) 2 V
Description : Identify the correct vector identity. a) i . i = j . j = k . k = 0 b) i X j = j X k = k X i = 1 c) Div (u X v) = v . Curl(u) – u . Curl(v) d) i . j = j . k = k . i = 1
Last Answer : c) Div (u X v) = v . Curl(u) – u . Curl(v)
Description : Choose the best relation. a) A = -Div(V) b) V = Curl(A) c) H = -Grad(V) d) V = Div(E)
Last Answer : c) H = -Grad(V)
Description : The relation between vector potential and field strength is given by a) Gradient b) Divergence c) Curl d) Del operator
Last Answer : a) Gradient
Description : Find the magnetic flux density when the vector potential is a position vector. a) 1 b) 0 c) -1 d) ∞
Last Answer : b) 0
Description : Find the magnetic flux density of the material with magnetic vector potential A = y i + z j + x k. a) i + j + k b) –i – j – k c) –i-j d) –i-k
Last Answer : b) –i – j – k
Description : Which equation will be true, if the medium is considered to be air? a) Curl(H) = 0 b) Div(H) = 0 c) Grad(H) = 0 d) Div(H) = 1
Last Answer : b) Div(H) = 0
Description : Which of the following identities is always zero for static fields? a) Grad(Curl V) b) Curl(Div V) c) Div(Grad V) d) Curl(Grad V)
Last Answer : d) Curl(Grad V)
Description : Find the Maxwell law derived from Ampere law. a) Div(I) = H b) Div(H) = J c) Curl(H) = J d) Curl(B) = D
Last Answer : c) Curl(H) = J
Description : Find the Maxwell equation derived from Faraday’s law. a) Div(H) = J b) Div(D) = I c) Curl(E) = -dB/dt d) Curl(B) = -dH/dt
Last Answer : c) Curl(E) = -dB/dt
Description : 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
Last Answer : c) Div(Grad V) = 0
Description : The Laplacian operator is actually a) Grad(Div V) b) Div(Grad V) c) Curl(Div V) d) Div(Curl V)
Last Answer : b) Div(Grad V)
Description : In a medium other than air, the electric flux density will be a) Solenoidal b) Curl free c) Irrotational d) Divergent
Last Answer : d) Divergent
Description : Ampere law states that, a) Divergence of H is same as the flux b) Curl of D is same as the current c) Divergence of E is zero d) Curl of H is same as the current density
Last Answer : d) Curl of H is same as the current density
Description : The charge density of a field with a position vector as electric flux density is given by a) 0 b) 1 c) 2 d) 3
Last Answer : d) 3
Description : The charge density of a system with the position vector as electric flux density is a) 0 b) 1 c) 2 d) 3
Description : The electric flux density and electric field intensity have which of the following relation? a) Linear b) Nonlinear c) Inversely linear d) Inversely nonlinear
Last Answer : a) Linear
Description : Find the curl of the vector A = yz i + 4xy j + y k a) xi + j + (4y – z)k b) xi + yj + (z – 4y)k c) i + j + (4y – z)k d) i + yj + (4y – z)k
Last Answer : d) i + yj + (4y – z)k
Description : Find the curl of the vector and state its nature at (1,1,-0.2) F = 30 i + 2xy j + 5xz 2 k a) √4.01 b) √4.02 c) √4.03 d) √4.04
Last Answer : d) √4.04
Description : The curl of a curl of a vector gives a a) Scalar b) Vector c) Zero value d) Non zero value
Last Answer : b) Vector
Description : Curl is defined as the angular velocity at every point of the vector field. State True/False. a) True b) False
Last Answer : a) True
Description : Curl of gradient of a vector is a) Unity b) Zero c) Null vector d) Depends on the constants of the vector
Last Answer : c) Null vector
Description : Divergence of gradient of a vector function is equivalent to a) Laplacian operation b) Curl operation c) Double gradient operation d) Null vector
Last Answer : a) Laplacian operation
Description : A vector is said to be solenoidal when its a) Divergence is zero b) Divergence is unity c) Curl is zero d) Curl is unity
Last Answer : a) Divergence is zero
Description : The curl of gradient of a vector is non-zero. State True or False. a) True b) False
Last Answer : b) False
Description : The divergence of curl of a vector is zero. State True or False. a) True b) False
Description : The del operator is called as a) Gradient b) Curl c) Divergence d) Vector differential operator
Last Answer : d) Vector differential operator
Description : Which of the following are not vector functions in Electromagnetic? a) Gradient b) Divergence c) Curl d) There is no non- vector functions in Electromagnetics
Last Answer : d) There is no non- vector functions in Electromagnetics
Description : Find the flux density B when the potential is given by x i + y j + z k in air. a) 12π x 10 -7 b) -12π x 10 -7 c) 6π x 10 -7 d) -6π x 10 -7
Last Answer : b) -12π x 10 -7
Description : If the electric potential is given, which of the following cannot be calculated? a) Electrostatic energy b) Electric field intensity c) Electric flux density d) Permittivity
Last Answer : a) Electrostatic energy
Description : The ultimate result of the divergence theorem evaluates which one of the following? a) Field intensity b) Field density c) Potential d) Charge and flux
Last Answer : d) Charge and flux
Description : The charge density of a electrostatic field is given by a) Curl of E b) Divergence of E c) Curl of D d) Divergence of D
Last Answer : d) Divergence of D
Description : The total current density is given as 0.5i + j – 1.5k units. Find the curl of the magnetic field intensity. a) 0.5i – 0.5j + 0.5k b) 0.5i + j -1.5k c) i – j + k d) i + j – k
Last Answer : b) 0.5i + j -1.5k
Description : Which of the following is a vector quantity ? (a) Relative permeability (b) Magnetic field intensity (c) Flux density (d) Magnetic potential
Last Answer : (b) Magnetic field intensity
Description : It cannot be determined from Gauss law, whereas the remaining options can be computed from Gauss law. 10. Gauss law for magnetic fields is given by a) Div(E) = 0 b) Div(B) = 0 c) Div(H) = 0 d) Div(D) = 0
Last Answer : b) Div(B) = 0
Description : The point form of Gauss law is given by, Div(V) = ρv State True/False. a) True b) False
Description : The gradient of the magnetic vector potential can be expressed as a) –με dV/dt b) +με dE/dt c) –με dA/dt d) +με dB/dt
Last Answer : a) –με dV/dt
Description : Find the magnetic field when the magnetic vector potential is a unit vector. a) 1 b) -1 c) 0 d) 2
Last Answer : c) 0
Description : The current element of the magnetic vector potential for a surface current will be a) J dS b) I dL c) K dS d) J dV
Last Answer : c) K dS
Description : The magnetic vector potential for a line current will be inversely proportional to a) dL b) I c) J d) R
Last Answer : d) R
Description : The Laplacian of the magnetic vector potential will be a) –μ J b) – μ I c) –μ B d) –μ H
Last Answer : a) –μ J
Description : Find the vector potential when the field intensity 60x 2 varies from (0,0,0) to (1,0,0). a) 120 b) -20 c) -180 d) 60
Last Answer : b) -20
Description : Given the vector potential is 16 – 12sin y j. Find the field intensity at the origin. a) 28 b) 16 c) 12 d) 4
Last Answer : c) 12
Description : Find the magnetic field intensity when the magnetic vector potential x i + 2y j + 3z k. a) 6 b) -6 c) 0 d) 1
Last Answer : b) -6
Description : The magnetic vector potential is a scalar quantity. a) True b) False
Description : The electric field intensity of a field with velocity 10m/s and flux density of 2.8 units is a) 0.28 b) 28 c) 280 d) 10/2.8
Last Answer : b) 28
Description : Which quantity is solenoidal in the electromagnetic theory? a) Electric field intensity b) Electric flux density c) Magnetic field intensit d) Magnetic flux density
Last Answer : d) Magnetic flux density
Description : Find the electric flux density of a material whose charge density is given by 12 units in a volume region of 0.5 units. a) 12 b) 24 c) 6 d) 48
Last Answer : c) 6
Description : In the medium of free space, the divergence of the electric flux density will be a) 1 b) 0 c) -1 d) Infinity