The Laplacian of the magnetic vector potential will be
a) –μ J
b) – μ I
c) –μ B
d) –μ H

1 Answer

Answer :

a) –μ J

Related questions

Description : Divergence of gradient of a vector function is equivalent to a) Laplacian operation b) Curl operation c) Double gradient operation d) Null vector

Last Answer : a) Laplacian operation

Description : The current element of the magnetic vector potential for a surface current will be a) J dS b) I dL c) K dS d) J dV

Last Answer : c) K dS

Description : The magnetic vector potential for a line current will be inversely proportional to a) dL b) I c) J d) R

Last Answer : d) R

Description : Find the magnetic field intensity when the magnetic vector potential x i + 2y j + 3z k. a) 6 b) -6 c) 0 d) 1

Last Answer : b) -6

Description : Find the magnetic flux density of the material with magnetic vector potential A = y i + z j + x k. a) i + j + k b) –i – j – k c) –i-j d) –i-k

Last Answer : b) –i – j – k

Description : In electric fields, D= ε E. The correct expression which is analogous in magnetic fields will be a) H = μ B b) B = μ H c) A = μ B d) H = μ A

Last Answer : b) B = μ H

Description : The non existence of the magnetic monopole is due to which operation? a) Gradient b) Divergence c) Curl d) Laplacian

Last Answer : b) Divergence

Description : Given the vector potential is 16 – 12sin y j. Find the field intensity at the origin. a) 28 b) 16 c) 12 d) 4

Last Answer : c) 12

Description : Which of the following relation will hold good? a) D = μ H b) B = ε E c) E = ε D d) B = μ H

Last Answer : d) B = μ H

Description : The gradient of the magnetic vector potential can be expressed as a) –με dV/dt b) +με dE/dt c) –με dA/dt d) +με dB/dt

Last Answer : a) –με dV/dt

Description : Find the magnetic flux density when the vector potential is a position vector. a) 1 b) 0 c) -1 d) ∞

Last Answer : b) 0

Description : Find the magnetic field when the magnetic vector potential is a unit vector. a) 1 b) -1 c) 0 d) 2

Last Answer : c) 0

Description : The magnetic vector potential is a scalar quantity. a) True b) False

Last Answer : b) False

Description : Gauss theorem uses which of the following operations? a) Gradient b) Curl c) Divergence d) Laplacian

Last Answer : c) Divergence

Description : The Stoke’s theorem uses which of the following operation? a) Divergence b) Gradient c) Curl d) Laplacian

Last Answer : c) Curl

Description : The Laplacian operator cannot be used in which one the following? a) Two dimensional heat equation b) Two dimensional wave equation c) Poisson equation d) Maxwell equation

Last Answer : d) Maxwell equation

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 : 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 : Find the curl of the vector A = yz i + 4xy j + y k a) xi + j + (4y – z)k b) xi + yj + (z – 4y)k c) i + j + (4y – z)k d) i + yj + (4y – z)k

Last Answer : d) i + yj + (4y – z)k

Description : Is the vector is irrotational. E = yz i + xz j + xy k a) Yes b) No

Last Answer : a) Yes

Description : Find the curl of the vector and state its nature at (1,1,-0.2) F = 30 i + 2xy j + 5xz 2 k a) √4.01 b) √4.02 c) √4.03 d) √4.04

Last Answer : d) √4.04

Description : Find whether the vector is solenoidal, E = yz i + xz j + xy k a) Yes, solenoidal b) No, non-solenoidal c) Solenoidal with negative divergence d) Variable divergence

Last Answer : a) Yes, solenoidal

Description : Find the divergence of the vector F= xe -x i + y j – xz k a) (1 – x)(1 + e -x ) b) (x – 1)(1 + e -x ) c) (1 – x)(1 – e) d) (x – 1)(1 – e)

Last Answer : a) (1 – x)(1 + e -x )

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 : The spherical equivalent of the vector B = yi + (x + z)j located at (-2,6,3) is given by a) (7,64.62,71.57) b) (7,-64.62,-71.57) c) (7,-64.62,71.57) d) (7,64.62,-71.57)

Last Answer : d) (7,64.62,-71.57)

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 unit vector to the points p1(0,1,0), p2(1,0,1), p3(0,0,1) is a) (-j – k)/1.414 b) (-i – k)/1.414 c) (-i – j)/1.414 d) (-i – j – k)/1.414

Last Answer : a) (-j – k)/1.414

Description : Find a vector normal to a plane consisting of points p1(0,1,0), p2(1,0,1) and p3(0,0,1) a) –j – k b) –i – j c) –i – k d) –i – j – k

Last Answer : a) –j – k

Description : The Poynting vector is the power component that is calculated by the a) Product of E and H b) Ratio of E and H c) Dot product of E and H d) Cross product of E and H

Last Answer : d) Cross product of E and H

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 : Find the vector potential when the field intensity 60x 2 varies from (0,0,0) to (1,0,0). a) 120 b) -20 c) -180 d) 60

Last Answer : b) -20

Description : The relation between vector potential and field strength is given by a) Gradient b) Divergence c) Curl d) Del operator

Last Answer : a) Gradient

Description : The expression for intrinsic impedance is given by a) √(με) b) (με) c) √(μ/ε) d) (μ/ε)

Last Answer : c) √(μ/ε)

Description : The relation between the speed of light, permeability and permittivity is a) C = 1/√(με) b) C = με c) C = μ/ε d) C = 1/με

Last Answer : a) C = 1/√(με)

Description : The magnitude of the conduction current density for a magnetic field intensity of a vector yi + zj + xk will be a) 1.414 b) 1.732 c) -1.414 d) -1.732

Last Answer : b) 1.732

Description : The value of ∫ H.dL will be a) J b) I c) B d) H

Last Answer : b) I

Description : In metals which of the following equation will hold good? a) Curl(H) = J b) Curl(J) = dD/dt c) Curl(H) = D d) Curl(J) = dB/dt

Last Answer : a) Curl(H) = J

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 : 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 : Find the flux density B when the potential is given by x i + y j + z k in air. a) 12π x 10 -7 b) -12π x 10 -7 c) 6π x 10 -7 d) -6π x 10 -7

Last Answer : b) -12π x 10 -7

Description : Find the electric field of a potential function given by 20 log x + y at the point (1,1,0). a) -20 i – j b) -i -20 j c) i + j d) (i + j)/20

Last Answer : a) -20 i – j

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

Last Answer : a) True

Description : Given E = 40xyi + 20x 2 j + 2k. Calculate the potential between two points (1,-1,0) and (2,1,3). a) 105 b) 106 c) 107 d) 108

Last Answer : b) 106

Description : Find the potential between a(-7,2,1) and b(4,1,2). Given E = (-6y/x 2 )i + ( 6/x) j + 5 k. a) -8.014 b) -8.114 c) -8.214 d) -8.314 View Answ

Last Answer : c) -8.214

Description : Find the potential between two points p(1,-1,0) and q(2,1,3) with E = 40xy i + 20x 2 j + 2 k a) 104 b) 105 c) 106 d) 107

Last Answer : c) 106

Description : The total current density is given as 0.5i + j – 1.5k units. Find the curl of the magnetic field intensity. a) 0.5i – 0.5j + 0.5k b) 0.5i + j -1.5k c) i – j + k d) i + j – k

Last Answer : b) 0.5i + j -1.5k

Description : he dipole magnetic moment (μ) is directly proportional to nuclear spin (I), connected by a constant called the A. Gyromagnetic ratio (γ) B. Planck's constant (h) C. Nuclear susceptibility (χ) D. Chemical shift (δ) 

Last Answer : Gyromagnetic ratio (γ)

Description : In lossy dielectric, the phase difference between the electric field E and the magnetic field H is a) 90 b) 60 c) 45 d) 0

Last Answer : d) 0

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