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 : 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 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 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 : The continuity equation is a combination of which of the two laws? a) Ohm’s law and Gauss law b) Ampere law and Gauss law c) Ohm’s law and Ampere law d) Maxwell law and Ampere law
Last Answer : b) Ampere law and Gauss law
Description : Gauss law cannot be expressed in which of the following forms? a) Differential b) Integral c) Point d) Stokes theorem
Last Answer : d) Stokes theorem
Description : In the conversion of line integral of H into surface integral, which theorem is used? a) Green theorem b) Gauss theorem c) Stokes theore d) It cannot be converted
Last Answer : c) Stokes 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 : 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 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 : Maxwell second equation is based on which law? a) Ampere law b) Faraday law c) Lenz law d) Coulomb law
Last Answer : a) Ampere law
Description : The first Maxwell law is based on which law? a) Ampere law b) Faraday law c) Lenz law d) Faraday and Lenz law
Last Answer : b) Faraday law
Description : Which one of the following laws will not contribute to the Maxwell’s equations? a) Gauss law b) Faraday law c) Ampere law d) Curie Weiss law
Last Answer : d) Curie Weiss law
Description : Biot Savart law in magnetic field is analogous to which law in electric field? a) Gauss law b) Faraday law c) Coulomb’s law d) Ampere law
Last Answer : c) Coulomb’s law
Description : Poisson equation can be derived from which of the following equations? a) Point form of Gauss law b) Integral form of Gauss law c) Point form of Ampere law d) Integral form of Ampere law
Last Answer : a) Point form of Gauss law
Description : With Gauss law as reference which of the following law can be derived? a) Ampere law b) Faraday’s law c) Coulomb’s law d) Ohm’s law
Description : The Coulomb law is an implication of which law? a) Ampere law b) Gauss law c) Biot Savart law d) Lenz law
Last Answer : b) Gauss law
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 : 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 : Suppose the potential function is a step function. The equation that gets satisfied is a) Laplace equation b) Poisson equation c) Maxwell equation d) Ampere equation
Last Answer : a) Laplace equation
Description : In free space, the Poisson equation becomes a) Maxwell equation b) Ampere equation c) Laplace equation d) Steady state equation
Last Answer : c) Laplace equation
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 : Find the value of Stoke’s theorem for y i + z j + x k. a) i + j b) j + k c) i + j + k d) –i – j – k
Last Answer : d) –i – j – k
Description : In a dipole, the Gauss theorem value will be a) 1 b) 0 c) -1 d) 2
Last Answer : b) 0
Description : Divergence theorem computes to zero for a solenoidal function. State True/False. a) True b) False
Last Answer : a) True
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
Last Answer : 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 : 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 : 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 : 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 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 : The Shoelace formula is a shortcut for the Green’s theorem. State True/False. a) True b) False
Description : Applications of Green’s theorem are meant to be in a) One dimensional b) Two dimensional c) Three dimensional d) Four dimensional
Last Answer : b) Two dimensional
Description : Which of the following is not an application of Green’s theorem? a) Solving two dimensional flow integrals b) Area surveying c) Volume of plane figures d) Centroid of plane figures
Last Answer : c) Volume of plane figures
Description : Find the value of Green’s theorem for F = x 2 and G = y 2 is a) 0 b) 1 c) 2 d) 3
Last Answer : a) 0
Description : Mathematically, the functions in Green’s theorem will be a) Continuous derivatives b) Discrete derivatives c) Continuous partial derivatives d) Discrete partial derivatives
Last Answer : c) Continuous partial derivatives
Description : The Gauss law for magnetic field is valid in a) Air b) Conductor c) Dielectric d) All cases
Last Answer : d) All cases
Description : Gauss law can be evaluated in which coordinate system? a) Cartesian b) Cylinder c) Spherical d) Depends on the Gaussian surface
Last Answer : d) Depends on the Gaussian surface
Description : Gauss law can be used to compute which of the following? a) Permittivity b) Permeability c) Radius of Gaussian surface d) Electric potential
Last Answer : c) Radius of Gaussian surface
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 : 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