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 : Calculate the charge density for the current density given 20sin x i + ycos z j at the origin. a) 20t b) 21t c) 19t d) -20t
Last Answer : b) 21t
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 : 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 : The voltage of a capacitor 12F with a rating of 2J energy is a) 0.57 b) 5.7 c) 57 d) 570
Last Answer : a) 0.57
Description : Calculate the loss tangent when the dielectric constant in AC field is given by 3 + 2j. a) (2/3) b) (3/2) c) (-3/2) d) (-2/3)
Last Answer : d) (-2/3)
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 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 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 current when the magnetic field intensity is given by 2L and L varies as 0->1. a) 2 b) 1 c) 0.5 d) 0
Last Answer : b) 1
Description : Find the equation of displacement current density in frequency domain. a) Jd = jwεE b) Jd = jwεH c) Jd = wεE/j d) Jd = jεE/w
Last Answer : a) Jd = jwεE
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 : 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 angular separation between the vectors A = 4i + 3j + 5k and B = i – 2j + 2k is (in degrees) a) 65.8 b) 66.8 c) 67.8 d) 68.8
Last Answer : c) 67.8
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 : Given D = e -x sin y i – e -x cos y j Find divergence of D. a) 3 b) 2 c) 1 d) 0
Last Answer : d) 0
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 : Find the value of divergence theorem for the field D = 2xy i + x 2 j for the rectangular parallelepiped given by x = 0 and 1, y = 0 and 2, z = 0 and 3. a) 10 b) 12 c) 14 d) 16
Last Answer : b) 12
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 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 : 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 : 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 : 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 a = i + 2j and b = 2i + j, what are the magnitudes of the two vectors? Are these two vectors equal?
Last Answer : Given \(\overset\rightarrow{a}\) = i + 2j and \(\overset\rightarrow{b}\) = 2i + j, ... magnitudes of the two vectors? Are these two vectors equal?
Description : If there are m unknown member forces, r unknown reaction components and j number of joints, then the degree of static indeterminacy of a pin-jointed plane frame is given by (A) m + r + 2j (B) m - r + 2j (C) m + r - 2j (D) m + r - 3j
Last Answer : (C) m + r - 2j
Description : The degree of static indeterminacy of a pin-jointed space frame is given by m r j number of joints) (A) m + r - 2j (B) m + r - 3j (C) 3m + r - 3j (D) m + r + 3j
Last Answer : (B) m + r - 3j
Description : Degree of kinematic indeterminacy of a pin-jointed plane frame is given by (A) 2j - r (B) j - 2r (C) 3j - r (D) 2j + r
Last Answer : (A) 2j - r
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 : 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 : 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 : An implication of the continuity equation of conductors is given by a) J = σ E b) J = E/σ c) J = σ/E d) J = jwEσ
Last Answer : a) J = σ E
Description : If A = 2i - j + k and B = i + 2j - k are two vectors, find |A x B|.
Last Answer : If A = 2i - j + k and B = i + 2j - k are two vectors, find |A x B|.
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 : If D = 2xy i + 3yz j + 4xz k, how much flux passes through x = 3 plane for which - 1
Last Answer : c) 36
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 : Find the displacement current when the flux density is given by t 3 at 2 seconds. a) 3 b) 6 c) 12 d) 27
Last Answer : c) 12
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 : Compute the power consumed by a material with current density 15 units in an area of 100 units. The potential measured across the material is 20V. a) 100kJ b) 250kJ c) 30kJ d) 15kJ
Last Answer : c) 30kJ
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 : 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 : 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 : If the electric potential is given, which of the following cannot be calculated? a) Electrostatic energy b) Electric field intensity c) Electric flux density d) Permittivity
Last Answer : a) Electrostatic energy
Description : Find the flux density of a conductor in the square of the centre of the loop having current 3.14A and radius is 1.414m in air. a) 8π x 10 -7 b) 4π x 10 -7 c) 6π x 10 -7 d) 2π x 10 -7
Last Answer : c) 6π x 10 -7
Description : The complex permittivity is given by 2-j. Find the loss tangent. a) 1/2 b) -1/2 c) 2 d) -2
Last Answer : a) 1/2
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
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 : 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 : Compute the charge enclosed by a cube of 2m each edge centered at the origin and with the edges parallel to the axes. Given D = 10y 3 /3 j. a) 20 b) 70/3 c) 80/3 d) 30
Last Answer : c) 80/3