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 : 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 : 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 : 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 : The curl of gradient of a vector is non-zero. State True or False. a) True b) False
Last Answer : b) False
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 : 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 : The divergence of a vector is a scalar. State True/False. a) True b) False
Last Answer : a) True
Description : Curl is defined as the angular velocity at every point of the vector field. 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 : Divergence theorem computes to zero for a solenoidal function. State True/False. a) True b) False
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 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 non existence of the magnetic monopole is due to which operation? a) Gradient b) Divergence c) Curl d) Laplacian
Last Answer : b) Divergence
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 : 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 : 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 : When curl of a path is zero, the field is said to be conservative. State True/False. a) True b) False
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 distance vector is a) 0 b) 3 c) 2 d) 1
Last Answer : b) 3
Description : The divergence concept can be illustrated using Pascal’s law. State True/False. a) True b) False
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 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 : 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 : 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 : The divergence of which quantity will be zero? a) E b) D c) H d) B
Last Answer : d) B
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 : 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 : The vector product of two vectors is given by area of the parallelogram. State True/False. a) True b) False
Description : The dot product of two vectors is a scalar. The cross product of two vectors is a vector. State True/False. a) True b) Fals
Description : The magnetic vector potential is a scalar quantity. a) True b) False
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 : 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 : In the medium of free space, the divergence of the electric flux density will be a) 1 b) 0 c) -1 d) Infinity
Description : The divergence of H will be a) 1 b) -1 c) ∞ d) 0
Last Answer : d) 0
Description : The Ampere law is based on which theorem? a) Green’s theorem b) Gauss divergence theorem c) Stoke’s theorem d) Maxwell theorem
Last Answer : c) Stoke’s theorem
Description : Divergence theorem is based on a) Gauss law b) Stoke’s law c) Ampere law d) Lenz law
Last Answer : a) Gauss law
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
Description : If a function is described by F = (3x + z, y 2 − sin x 2 z, xz + ye x5 ), then the divergence theorem value in the region 0
Last Answer : c) 39
Description : The divergence theorem value for the function x 2 + y 2 + z 2 at a distance of one unit from the origin is a) 0 b) 1 c) 2 d) 3
Description : The divergence theorem for a surface consisting of a sphere is computed in which coordinate system? a) Cartesian b) Cylindrical c) Spherical d) Depends on the function
Last Answer : d) Depends on the function
Description : The Gauss divergence theorem converts a) line to surface integral b) line to volume integral c) surface to line integral d) surface to volume integral
Last Answer : d) surface to volume integral
Description : The Green’s theorem can be related to which of the following theorems mathematically? a) Gauss divergence theorem b) Stoke’s theorem c) Euler’s theorem d) Leibnitz’s theorem
Last Answer : b) Stoke’s theorem