Description : The del operator is called as a) Gradient b) Curl c) Divergence d) Vector differential operator
Last Answer : d) Vector differential operator
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 : 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 : 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 : The non existence of the magnetic monopole is due to which operation? a) Gradient b) Divergence c) Curl d) Laplacian
Last Answer : b) Divergence
Description : Gauss theorem uses which of the following operations? a) Gradient b) Curl c) Divergence d) Laplacian
Last Answer : c) Divergence
Description : The Stoke’s theorem uses which of the following operation? a) Divergence b) Gradient c) Curl d) Laplacian
Last Answer : c) Curl
Description : The relation between flux density and vector potential is a) B = Curl(A) b) A = Curl(B) c) B = Div(A) d) A = Div(B)
Last Answer : a) B = Curl(A)
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 divergence of curl of a vector is zero. State True or False. a) True b) False
Last Answer : a) True
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 : 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 : The curl of gradient of a vector is non-zero. State True or False. a) True b) False
Last Answer : b) False
Description : Identify the nature of the field, if the divergence is zero and curl is also zero. a) Solenoidal, irrotational b) Divergent, rotational c) Solenoidal, irrotational d) Divergent, rotational
Last Answer : c) Solenoidal, irrotational
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 : Which of the following theorem use the curl operation? a) Green’s theorem b) Gauss Divergence theorem c) Stoke’s theorem d) Maxwell equation
Last Answer : b) Gauss Divergence theorem
Description : Curl is defined as the angular velocity at every point of the vector field. 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 : 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 : Find whether the vector is solenoidal, E = yz i + xz j + xy k a) Yes, solenoidal b) No, non-solenoidal c) Solenoidal with negative divergence d) Variable divergence
Last Answer : a) Yes, solenoidal
Description : Find the divergence of the vector F= xe -x i + y j – xz k a) (1 – x)(1 + e -x ) b) (x – 1)(1 + e -x ) c) (1 – x)(1 – e) d) (x – 1)(1 – e)
Last Answer : a) (1 – x)(1 + e -x )
Description : Find the divergence of the vector yi + zj + xk. a) -1 b) 0 c) 1 d) 3
Last Answer : b) 0
Description : Compute the divergence of the vector xi + yj + zk. a) 0 b) 1 c) 2 d) 3
Last Answer : d) 3
Description : The divergence of a vector is a scalar. State True/False. a) True b) False
Description : When a vector is irrotational, which condition holds good? a) Stoke’s theorem gives non-zero value b) Stoke’s theorem gives zero value c) Divergence theorem is invalid d) Divergence theorem is valid
Last Answer : b) Stoke’s theorem gives zero value
Description : The divergence of distance vector is a) 0 b) 3 c) 2 d) 1
Last Answer : b) 3
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 : 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 : The integral form of potential and field relation is given by line integral. State True/False a) True b) False
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 : 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 : Find the value of divergence theorem for the field D = 2xy i + x 2 j for the rectangular parallelepiped given by x = 0 and 1, y = 0 and 2, z = 0 and 3. a) 10 b) 12 c) 14 d) 16
Last Answer : b) 12
Description : The electric field intensity is the negative gradient of the electric potential. State True/False. a) True b) False
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 : 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 : 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 : 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 : 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 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 : Find the divergence of the field, P = x 2 yz i + xz k a) xyz + 2x b) 2xyz + x c) xyz + 2z d) 2xyz + z
Last Answer : b) 2xyz + x
Description : Determine the divergence of F = 30 i + 2xy j + 5xz 2 k at (1,1,-0.2) and state the nature of the field. a) 1, solenoidal b) 0, solenoidal c) 1, divergent d) 0, divergent
Last Answer : b) 0, solenoidal
Description : A field has zero divergence and it has curls. The field is said to be a) Divergent, rotational b) Solenoidal, rotational c) Solenoidal, irrotational d) Divergent, irrotational
Last Answer : b) Solenoidal, rotational
Description : The curl of the electric field intensity is a) Conservative b) Rotational c) Divergent d) Static
Last Answer : b) Rotational
Description : When curl of a path is zero, the field is said to be conservative. State True/False. a) True b) False
Description : The magnetic field intensity is said to be a) Divergent b) Curl free c) Solenoidal d) Rotational
Last Answer : c) Solenoidal
Description : For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π 2 m. a) 1 b) 2 c) 3 d) 4
Last Answer : b) 2
Description : Find the divergence theorem value for the function given by (e z , sin x, y 2 ) a) 1 b) 0 c) -1 d) 2