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 : 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 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 : The Laplacian of the magnetic vector potential will be a) –μ J b) – μ I c) –μ B d) –μ H
Last Answer : a) –μ J
Description : An electric field is given as E = 6y 2 z i + 12xyz j + 6xy 2 k. An incremental path is given by dl = -3 i + 5 j – 2 k mm. The work done in moving a 2mC charge along the path if the location of the path is at p(0,2,5) is (in Joule) a) 0.64 b) 0.72 c) 0.78 d) 0.80
Last Answer : b) 0.72
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 : 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 : Find current density J when B = 50 x 10-6 units and area dS is 4 units. a) 9.94 b) 8.97 c) 7.92 d) 10.21
Last Answer : b) 8.97
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 : 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 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 : The value of ∫ H.dL will be a) J b) I c) B d) H
Last Answer : b) I
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 : 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 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 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 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 : For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π 2 m. a) 1 b) 2 c) 3 d) 4
Last Answer : b) 2
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 : The volume of a parallelepiped in Cartesian is a) dV = dx dy dz b) dV = dx dy c) dV = dy dz d) dV = dx dz
Last Answer : a) dV = dx dy dz
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 : Find the magnetic flux density when a point from a finite current length element of current 0.5A and radius 100nm. a) 0 b) 0.5 c) 1 d) 2
Last Answer : c) 1
Description : Find the magnetic field of a finite current element with 2A current and height 1/2π is a) 1 b) 2 c) 1/2 d) 1/4
Last Answer : a) 1
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 charge density when the electric flux density is given by 2x i + 3y j + 4z k. a) 10 b) 9 c) 24 d) 0
Last Answer : b) 9
Description : Find the value of Stoke’s theorem for A = x i + y j + z k. The state of the function will be a) Solenoidal b) Divergent c) Rotational d) Curl free
Last Answer : d) Curl free
Description : Find the value of Stoke’s theorem for y i + z j + x k. a) i + j b) j + k c) i + j + k d) –i – j – k
Last Answer : d) –i – j – k
Description : If D = 2xy i + 3yz j + 4xz k, how much flux passes through x = 3 plane for which - 1
Last Answer : c) 36
Description : Find the value of divergence theorem for A = xy 2 i + y 3 j + y 2 z k for a cuboid given by 0
Last Answer : c) 5/3
Description : Find the curl of A = (y cos ax)i + (y + e x )k a) 2i – ex j – cos ax k b) i – ex j – cos ax k c) 2i – ex j + cos ax k d) i – ex j + cos ax k
Last Answer : b) i – ex j – cos ax k
Description : Determine the divergence of F = 30 i + 2xy j + 5xz 2 k at (1,1,-0.2) and state the nature of the field. a) 1, solenoidal b) 0, solenoidal c) 1, divergent d) 0, divergent
Last Answer : b) 0, solenoidal
Description : Find the gradient of t = x 2 y+ e z at the point p(1,5,-2) a) i + 10j + 0.135k b) 10i + j + 0.135k c) i + 0.135j + 10k d) 10i + 0.135j + k
Last Answer : b) 10i + j + 0.135k
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 : 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 : Which of the following relations is correct? a) MMF = ∫ B.dl b) MMF = ∫ H.dl c) EMF = ∫ E.dl d) EMF = ∫ D.dl
Last Answer : c) EMF = ∫ E.dl