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 : 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 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 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 : 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 : 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 : The scalar factor of spherical coordinates is a) 1, r, r sin θ b) 1, r, r c) r, r, 1 d) r, 1, r
Last Answer : a) 1, r, r sin θ
Description : Given B= (10/r)i+( rcos θ) j+k in spherical coordinates. Find Cartesian points at (- 3,4,0) a) -2i + j b) 2i + k c) i + 2j d) –i – 2k
Last Answer : a) -2i + j
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 : 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 : Find the potential of V = 60sin θ/r 2 at P(3,60,25) a) 5.774 b) 6.774 c) 7.774 d) 8.774
Last Answer : a) 5.774
Description : Transform the vector (4,-2,-4) at (1,2,3) into spherical coordinates. a) 3.197i – 2.393j + 4.472k b) -3.197i + 2.393j – 4.472k c) 3.197i + 2.393j + 4.472k d) -3.197i – 2.393j – 4.472k
Last Answer : b) -3.197i + 2.393j – 4.472k
Description : Find the spherical coordinates of A(2,3,-1) a) (3.74, 105.50, 56.130) b) (3.74, 105.50, 56.310) c) (3.74, 106.50, 56.130) d) (3.74, 106.50, 56.310)
Last Answer : b) (3.74, 105.50, 56.310)
Description : Convert the point (3,4,5) from Cartesian to spherical coordinates a) (7.07,450,530) b) (0.707,450,530) c) (7.07,540,630) d) (0.707,540,630)
Last Answer : a) (7.07,450,530)
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 : The polar form of Cartesian coordinates is a) Circular coordinates b) Spherical coordinates c) Cartesian coordinates d) Space coordinates
Last Answer : a) Circular coordinates
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 : 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 : Find the potential of the function V = 60cos θ/r at the point P(3, 60, 25). a) 20 b) 10 c) 30 d) 60
Last Answer : b) 10
Description : Find the Laplace equation value of the following potential field V = r cos θ + φ a) 3 b) 2 c) 1 d) 0
Last Answer : d) 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 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
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 : Why do they sell at odd prices like 599 instead of 600?
Last Answer : Because you see the 5 and think it’s 5-something, when it’s in fact 6. If someone asked you how much your T-shirt cost, you might remember it was around 19$, when in fact it was 20 (19.99)
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 : The torque expression of a current carrying conductor is a) T = BIA cos θ b) T = BA cos θ c) T = BIA sin θ d) T = BA sin θ
Last Answer : c) T = BIA sin θ
Description : Given the potential V = 25 sin θ, in free space, determine whether V satisfies Laplace’s equation. a) Yes b) No c) Data sufficient d) Potential is not defined
Last Answer : a) Yes
Description : he work done of vectors force F and distance d, separated by angle θ can be calculated using, a) Cross product b) Dot product c) Addition of two vectors d) Cannot be calculated
Last Answer : b) Dot product
Description : In a dipole, the Gauss theorem value will be a) 1 b) 0 c) -1 d) 2
Last Answer : b) 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 : 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 : 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