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 : 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 : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2. a) 600 b) 599.8 c) 588.9 d) 577.8
Last Answer : c) 588.9
Description : Four persons rented a grassland. P grazed 48 goats for 3 months, Q grazed 20 goats for 5 months, R grazed 70 goats for 4 months and S grazed 42 goats for 3 months. If p’s share of rent is Rs.1420. Find the total rent of the field? A) 6410 B) 6200 C) 6400 D) 6300
Last Answer : Answer: A) Ratio of shares P,Q, R, S = 48*3 : 20 *5 : 70*4 :42*3 = 144 : 100: 280 : 126 = 72:50:140:63 Let total rent be Rs x Then P’s share = Rs. 72x/325 72x /325 = 1420 X = Rs.6410
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 : 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 : Three charged cylindrical sheets are present in three spaces with σ = 5 at R = 2m, σ = - 2 at R = 4m and σ = -3 at R = 5m. Find the flux density at R = 1m. a) 0 b) 1 c) 2 d) 3
Last Answer : a) 0
Description : Cylindrical systems have the following scalar values respectively a) 1, ρ ,1 b) 1, 1, 1 c) 0,1,0 d) 1,0,0
Last Answer : a) 1, ρ ,1
Description : Three charged cylindrical sheets are present in three spaces with σ = 5 at R = 2m, σ = - 2 at R = 4m and σ = -3 at R = 5m. Find the flux density at R = 6m. a) 17/6 b) -17/6 c) 13/6 d) -13/6
Last Answer : d) -13/6
Description : Three charged cylindrical sheets are present in three spaces with σ = 5 at R = 2m, σ = - 2 at R = 4m and σ =-3 at R = 5m. Find the flux density at R = 4.5m. a) 4/4.5 b) 3/4.5 c) 2/4.5 d) 1/4.5
Last Answer : c) 2/4.5
Description : Three charged cylindrical sheets are present in three spaces with σ = 5 at R = 2m, σ = - 2 at R = 4m and σ = -3 at R = 5m. Find the flux density at R = 3m. a) 3 b) 10/3 c) 11/3 d) 4
Last Answer : b) 10/3
Description : Transform the vector B=yi+(x+z)j located at point (-2,6,3) into cylindrical coordinates. a) (6.325,-71.57,3) b) (6.325,71.57,3) c) (6.325,73.57,3) d) (6.325,-73.57,3)
Last Answer : a) (6.325,-71.57,3)
Description : Transform the spherical system B = (10/r)i + (10cos θ)j + k into cylindrical form at (5, π/2, -2) a) 2.467i + j + 1.167k b) 2.467i – j + 1.167k c) 2.467i – j – 1.167k d) 2.467i + j – 1.167k
Last Answer : a) 2.467i + j + 1.167k
Description : Convert the given rectangular coordinates A(2,3,1) into corresponding cylindrical coordinates a) (3.21,56.31,1) b) (3.21,57.31,0) c) (3.61,57.31,0) d) (3.61,56.31,1)
Last Answer : d) (3.61,56.31,1)
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 : What is the difference between the total domestic investment and the total foreign investment in the year 2011? a) Rs.6400 Crore b) Rs.6200 Crore c) Rs.6600 Crore d) Rs.7000 Crore e) Rs.7100 Crore
Last Answer : c) Rs.6600 Crore
Description : Find the Laplace equation value of the following potential field V = ρ cosφ + z a) 0 b) 1 c) 2 d) 3
Description : Transform the vector A = 3i – 2j – 4k at P(2,3,3) to cylindrical coordinates a) -3.6j – 4k b) -3.6j + 4k c) 3.6j – 4k d) 3.6j + 4k
Last Answer : a) -3.6j – 4k
Description : The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False. a) True b) False
Last Answer : a) True
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 : 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 : The Gauss law for magnetic field is valid in a) Air b) Conductor c) Dielectric d) All cases
Last Answer : d) All cases
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 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 : 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 : 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 : 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 : 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 : 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 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 : Divergence theorem is based on a) Gauss law b) Stoke’s law c) Ampere law d) Lenz law
Last Answer : a) Gauss law
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 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 : The point form of Gauss law is given by, Div(V) = ρv State True/False. a) True b) False
Description : Coulomb’s law can be derived from Gauss law. State True/ False a) True b) False
Description : Gauss law for electric field uses surface integral. State True/False a) True b) False
Description : In a dipole, the Gauss theorem value will be a) 1 b) 0 c) -1 d) 2
Last Answer : b) 0
Description : Find the Gauss value for a position vector in Cartesian system from the origin to one unit in three dimensions. a) 0 b) 3 c) -3 d) 1
Last Answer : b) 3
Description : Find the charged enclosed by a sphere of charge density ρ and radius a. a) ρ (4πa 2 ) b) ρ(4πa 3 /3) c) ρ(2πa 2 ) d) ρ(2πa 3 /3)
Last Answer : b) ρ(4πa 3 /3)
Description : If the potential is given by, V = 10sin θ cosφ/r, find the density at the point P(2, π/2, 0) (in 10 -12 units) a) 13.25 b) 22.13 c) 26.31 d) 31.52
Last Answer : b) 22.13
Description : The Bohr magneton is given by a) eh/2m b) eh/2πm c) eh/4m d) eh/4πm
Last Answer : d) eh/4πm
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 : 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 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 : 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 : 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