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 : The sequence for finding E when charge density is given is a) E-D-ρv b) E-B-ρv c) E-H-ρv d) E-V-ρv
Last Answer : a) E-D-ρv
Description : Coulomb’s law can be derived from Gauss law. State True/ False a) True b) False
Last Answer : a) True
Description : Gauss law for electric field uses surface integral. State True/False a) True b) False
Description : The curl of curl of a vector is given by, a) Div(Grad V) – (Del) 2 V b) Grad(Div V) – (Del) 2 V c) (Del) 2 V – Div(Grad V) d) (Del) 2 V – Grad(Div V)
Last Answer : b) Grad(Div V) – (Del) 2 V
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 : On equating the generic form of current density equation and the point form of Ohm’s law, we can obtain V=IR. State True/False. a) True b) False
Description : Which of the following identities is always zero for static fields? a) Grad(Curl V) b) Curl(Div V) c) Div(Grad V) d) Curl(Grad V)
Last Answer : d) Curl(Grad V)
Description : Choose the best relation. a) A = -Div(V) b) V = Curl(A) c) H = -Grad(V) d) V = Div(E)
Last Answer : c) H = -Grad(V)
Description : If a function is said to be harmonic, then a) Curl(Grad V) = 0 b) Div(Curl V) = 0 c) Div(Grad V) = 0 d) Grad(Curl V) = 0
Last Answer : c) Div(Grad V) = 0
Description : Identify the correct vector identity. a) i . i = j . j = k . k = 0 b) i X j = j X k = k X i = 1 c) Div (u X v) = v . Curl(u) – u . Curl(v) d) i . j = j . k = k . i = 1
Last Answer : c) Div (u X v) = v . Curl(u) – u . Curl(v)
Description : The Laplacian operator is actually a) Grad(Div V) b) Div(Grad V) c) Curl(Div V) d) Div(Curl V)
Last Answer : b) Div(Grad V)
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 : 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 : Find the Maxwell equation derived from Faraday’s law. a) Div(H) = J b) Div(D) = I c) Curl(E) = -dB/dt d) Curl(B) = -dH/dt
Last Answer : c) Curl(E) = -dB/dt
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 : 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 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 : 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 : 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 : 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 : 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 : Which equation will be true, if the medium is considered to be air? a) Curl(H) = 0 b) Div(H) = 0 c) Grad(H) = 0 d) Div(H) = 1
Last Answer : b) Div(H) = 0
Description : The given equation satisfies the Laplace equation. V = x 2 + y 2 – z 2 . State True/False. a) True b) False
Description : Find the correct relation between current density and magnetization. a) J = Grad(M) b) J = Div(M) c) J = Curl(M) d) M = Curl(J)
Last Answer : c) J = Curl(M)
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 : The point form of Ampere law is given by a) Curl(B) = I b) Curl(D) = J c) Curl(V) = I d) Curl(H) = J
Last Answer : d) Curl(H) = J
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
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 : The function V = e x sin y + z does not satisfy Laplace equation. State True/False. a) True b) False
Last Answer : b) False
Description : If potential V = 20/(x 2 + y 2 ). The electric field intensity for V is 40(x i + y j)/(x 2 + y 2 ) 2 . State True/False. a) True b) False
Description : The Snell law is applicable for perpendicular polarisation and the Brewster law is applicable for parallel polarisation. State True/False. a) True b) False
Description : The divergence concept can be illustrated using Pascal’s law. State True/False. a) True b) False
Description : The integral form of potential and field relation is given by line integral. State True/False a) True b) False