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 Stoke’s theorem uses which of the following operation? a) Divergence b) Gradient c) Curl d) Laplacian
Last Answer : c) Curl
Description : Gauss theorem uses which of the following operations? a) Gradient b) Curl c) Divergence d) Laplacian
Last Answer : c) Divergence
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 : 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 : 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 : 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 : 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 : The curl of gradient of a vector is non-zero. State True or False. a) True b) False
Last Answer : b) False
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 : 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 : 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 : 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 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 : 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 : 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 : Curl is defined as the angular velocity at every point of the vector field. State True/False. a) True b) False
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 Laplacian operator cannot be used in which one the following? a) Two dimensional heat equation b) Two dimensional wave equation c) Poisson equation d) Maxwell equation
Last Answer : d) Maxwell equation
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 : Which of the following Maxwell equations use curl operation? a) Maxwell 1st and 2nd equation b) Maxwell 3rd and 4th equation c) All the four equations d) None of the equations
Last Answer : a) Maxwell 1st and 2nd equation
Description : Divergence theorem computes to zero for a solenoidal function. State True/False. a) True b) False
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 spherical equivalent of the vector B = yi + (x + z)j located at (-2,6,3) is given by a) (7,64.62,71.57) b) (7,-64.62,-71.57) c) (7,-64.62,71.57) d) (7,64.62,-71.57)
Last Answer : d) (7,64.62,-71.57)
Description : The Stoke’s theorem can be used to find which of the following? a) Area enclosed by a function in the given region b) Volume enclosed by a function in the given region c) Linear distance d) Curl of the function
Last Answer : a) Area enclosed by a function in the given region
Description : Find the value of Stoke’s theorem for A = x i + y j + z k. The state of the function will be a) Solenoidal b) Divergent c) Rotational d) Curl free
Last Answer : d) Curl free
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 : 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 divergence of which quantity will be zero? a) E b) D c) H d) B
Last Answer : d) B
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 : 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