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 : 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 : Gauss law cannot be used to find which of the following quantity? a) Electric field intensity b) Electric flux density c) Charge d) Permittivity
Last Answer : d) Permittivity
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 : 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 : In the medium of free space, the divergence of the electric flux density will be a) 1 b) 0 c) -1 d) Infinity
Last Answer : b) 0
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 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 : The line integral of the magnetic field intensity is the a) Current density b) Current c) Magnetic flux density d) Magnetic moment
Last Answer : b) Current
Description : Find the magnetic field intensity of a material with flux density of 24 units in air(in 10 6 order) a) 19.09 b) 21 c) 25 d) 26.78
Last Answer : a) 19.09
Description : The magnetic flux density is directly proportional to the magnetic field intensity. State True/False. a) True b) False
Last Answer : a) True
Description : Calculate the energy in an electric field with flux density 6 units and field intensity of 4 units. a) 12 b) 24 c) 36 d) 48
Last Answer : a) 12
Description : Find the electric flux density surrounding a material with field intensity of 2xyz placed in transformer oil ( εr = 2.2) at the point P(1,2,3) is (in 10 -10 units) a) 2.1 b) 2.33 c) 2.5 d) 2.77
Last Answer : c) 2.5
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 : The electric flux density is the a) Product of permittivity and electric field intensity b) Product of number of flux lines and permittivity c) Product of permeability and electric field intensity d) Product of number of flux lines and permeability
Last Answer : a) Product of permittivity and electric field intensity
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 : Which of the following correctly states Gauss law? a) Electric flux is equal to charge b) Electric flux per unit volume is equal to charge c) Electric field is equal to charge density d) Electric flux per unit volume is equal to volume charge density
Last Answer : d) Electric flux per unit volume is equal to volume charge density
Description : Calculate the electric field intensity of a line charge of length 2m and potential 24V. a) 24 b) 12 c) 0.083 d) 12.67
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 magnetic field intensity of an infinite sheet of charge with charge density 36.5 units in air will be a) 18.25 b) 11.25 c) 73 d) 1/36.5
Last Answer : a) 18.25
Description : Find the magnetic field intensity due to an infinite sheet of current 5A and charge density of 12j units in the positive y direction and the z component is below the sheet. a) 6 b) 0 c) -6 d) 60k
Last Answer : c) -6
Description : Find the magnetic field intensity due to an infinite sheet of current 5A and charge density of 12j units in the positive y direction and the z component is above the sheet. a) -6 b) 12k c) 60 d) 6
Last Answer : d) 6
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 : Divergence theorem computes to zero for a solenoidal function. State True/False. a) True b) False
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 : Gauss theorem uses which of the following operations? a) Gradient b) Curl c) Divergence d) Laplacian
Last Answer : c) Divergence
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
Description : Which of the following theorem convert line integral to surface integral? a) Gauss divergence and Stoke’s theorem b) Stoke’s theorem only c) Green’ s theorem only d) Stoke’s and Green’s theorem
Last Answer : d) Stoke’s and Green’s theorem
Description : The Stoke’s theorem uses which of the following operation? a) Divergence b) Gradient c) Curl d) Laplacian
Last Answer : c) Curl
Description : Compute divergence theorem for D = 5r 2 /4 i in spherical coordinates between r = 1 and r = 2 in volume integral. a) 80 π b) 5 π c) 75 π d) 85 π
Last Answer : c) 75 π
Description : The divergence theorem converts a) Line to surface integral b) Surface to volume integral c) Volume to line integral d) Surface to line integral
Last Answer : b) Surface to volume integral
Description : Find the value of divergence theorem for A = xy 2 i + y 3 j + y 2 z k for a cuboid given by 0
Last Answer : c) 5/3
Description : Compute divergence theorem for D= 5r 2 /4 i in spherical coordinates between r=1 and r=2. a) 80π b) 5π c) 75π d) 85π
Last Answer : c) 75π
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 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 : Calculate the energy when the magnetic intensity and magnetic flux density are 15 and 65 respectively. a) 755 b) 487.5 c) 922 d) 645
Last Answer : b) 487.5
Description : The Gauss law employs which theorem for the calculation of charge density? a) Green theorem b) Stokes theorem c) Gauss theorem d) Maxwell equation
Last Answer : c) Gauss theorem
Description : Find the magnetic flux density when the vector potential is a position vector. a) 1 b) 0 c) -1 d) ∞
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 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 : 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 : The charge density of a system with the position vector as electric flux density is a) 0 b) 1 c) 2 d) 3
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