Description : Compute the Gauss law for D = 10ρ 3 /4 i, in cylindrical coordinates with ρ = 4m, z = 0 and z = 5, hence find charge using volume integral. a) 6100 π b) 6200 π c) 6300 π d) 6400 π View Answe
Last Answer : d) 6400 π
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 triple integral is used to compute volume. State True/False a) True b) False
Last Answer : a) True
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 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 work-electric field relation is given by a) Volume integral b) Surface integral c) Line integral d) Relation impossible
Last Answer : c) Line integral
Description : Compute the power consumed by a material with current density 15 units in an area of 100 units. The potential measured across the material is 20V. a) 100kJ b) 250kJ c) 30kJ d) 15kJ
Last Answer : c) 30kJ
Description : Using volume integral, which quantity can be calculated? a) area of cube b) area of cuboid c) volume of cube d) distance of vector
Last Answer : c) volume of cube
Description : Line integral is used to calculate a) Force b) Area c) Volume d) Length
Last Answer : d) Length
Description : Compute the conductivity when the current density is 12 units and the electric field is 20 units. Also identify the nature of the material. a) 1.67, dielectric b) 1.67, conductor c) 0.6, dielectric d) 0.6, conductor
Last Answer : c) 0.6, dielectric
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 : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral. a) 600 b) 588.9 c) 577.8 d) 599.7
Last Answer : b) 588.9
Description : The volume integral is three dimensional. State True/False a) True b) False
Description : The gradient can be replaced by which of the following? a) Maxwell equation b) Volume integral c) Differential equatio
Last Answer : c) Differential equation
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 : The surface integral of which parameter is zero? a) E b) D c) B d) H
Last Answer : c) B
Description : Which equation will hold good for a magnetic material? a) Line integral of H is zero b) Surface integral of H is zero c) Line integral of B is zero d) Surface integral of B is zero
Last Answer : d) Surface integral of B is zero
Description : For a solenoidal field, the surface integral of D will be, a) 0 b) 1 c) 2 d) 3
Last Answer : a) 0
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 : Evaluate the surface integral ∫∫ (3x i + 2y j). dS, where S is the sphere given by x 2 + y 2 + z 2 = 9. a) 120π b) 180π c) 240π d) 300π
Last Answer : b) 180π
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 : Gauss law for electric field uses surface integral. State True/False a) True b) False
Description : The distance vector can be used to compute which of the following? a) Dot product b) Cross product c) Unit normal vector d) Area
Last Answer : c) Unit normal vector
Description : The magnetization is defined by the ratio of a) Magnetic moment to area b) Magnetic moment to volume c) Magnetic flux density to area d) Magnetic flux density to volume
Last Answer : b) Magnetic moment to volume
Description : A cable of core radius 1.25cm and impregnated paper insulation of thickness 2.13cm and relative permittivity 3.5. Compute the capacitance of the cable/km(in nF) a) 195.7 b) 179.5 c) 157.9 d) 197.5
Last Answer : a) 195.7
Description : Compute the capacitance between two concentric shells of inner radius 2m and the outer radius is infinitely large. a) 0.111 nF b) 0.222 nF c) 4.5 nF d) 5.4 nF
Last Answer : b) 0.222 nF
Description : Compute the loss factor when the loss tangent is 0.88 and the real part of dielectric is 24. a) 12.12 b) 12.21 c) 21.21 d) 21.12
Last Answer : d) 21.12
Description : Compute the refractive index when the dielectric constant is 256 in air. a) 2562 b) 16 c) 256 d) 64
Last Answer : b) 16
Description : Compute the charge enclosed by a cube of 2m each edge centered at the origin and with the edges parallel to the axes. Given D = 10y 3 /3 j. a) 20 b) 70/3 c) 80/3 d) 30
Last Answer : c) 80/3
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 : Compute the Gauss law for D= 10ρ 3 /4 i, in cylindrical coordinates with ρ= 4m, z=0 and z=5. a) 6100 π b) 6200 π c) 6300 π d) 6400 π
Description : Compute the divergence of the vector xi + yj + zk. a) 0 b) 1 c) 2 d) 3
Last Answer : d) 3
Description : Electric flux density in electric field is referred to as a) Number of flux lines b) Ratio of flux lines crossing a surface and the surface area c) Direction of flux at a point d) Flux lines per unit area
Last Answer : b) Ratio of flux lines crossing a surface and the surface area
Description : The line integral of which parameter is zero for static fields? a) E b) H c) D d) B
Last Answer : a) E
Description : The line integral of the electric field intensity is a) Mmf b) Emf c) Electric potential d) Magnetic potential
Last Answer : b) Emf
Description : In which of the following forms can Maxwell’s equation not be represented? a) Static b) Differential c) Integral d) Harmonic
Last Answer : a) Static
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 : 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 : The integral form of potential and field relation is given by line integral. State True/False a) True b) False
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
Description : Find the electric flux density of a material with charge density 16 units in unit volume. a) 1/16 b) 16t c) 16 d) 162
Last Answer : c) 16
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 : The total power of a wave with average power 15 units in a surface density of 0.5 units is a) 15 b) 30 c) 7.5 d) 0.75
Last Answer : c) 7.5
Description : Find the current density on the conductor surface when a magnetic field H = 3cos x i + zcos x j A/m, for z>0 and zero, otherwise is applied to a perfectly conducting surface in xy plane. a) cos x i b) –cos x i c) cos x j d) –cos x j
Last Answer : b) –cos x i
Description : The electric flux density of a surface with permittivity of 2 is given by 12 units. What the flux density of the surface in air? a) 24 b) 6 c) 1/6 d) 0
Last Answer : b) 6
Description : Find the electric field if the surface density at the boundary of air is 10 -9 . a) 12π b) 24π c) 36π d) 48π
Last Answer : c) 36π
Description : A circular disc of radius 5m with a surface charge density ρs = 10sinφ is enclosed by surface. What is the net flux crossing the surface? a) 3 b) 2 c) 1 d) 0
Last Answer : d) 0
Description : Find the flux density of line charge of radius (cylinder is the Gaussian surface) 2m and charge density is 3.14 units? a) 1 b) 0.75 c) 0.5 d) 0.25
Last Answer : d) 0.25
Description : Calculate the emf of a material having flux density 5sin t in an area of 0.5 units. a) 2.5 sin t b) -2.5 cos t c) -5 sin t d) 5 cos t
Last Answer : d) 5 cos t
Description : Consider the conductor to be a coil of turns 60 and the flux density to be 13.5 units, current 0.12A and area 16units. The torque will be a) 1555.2 b) 1222.5 c) 525.1 d) 255.6
Last Answer : a) 1555.2