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 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 : 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 : 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 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 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 : 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 gradient of the function sin x + cos y. a) cos x i – sin y j b) cos x i + sin y j c) sin x i – cos y j d) sin x i + cos y j
Last Answer : a) cos x i – sin y 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 : 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 : 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 : 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 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 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 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 : Identify the polarisation of the wave given that, Ex = 2 cos wt and Ey = cos wt. a) Elliptical b) Circular c) Parallel d) Linear
Last Answer : d) Linear
Description : Identify the polarisation of the wave given, Ex = cos wt and Ey = sin wt. The phase difference is -90 0 . a) Left hand circularly polarised b) Right hand circularly polarised c) Left hand elliptically polarised d) Right hand elliptically polarised
Last Answer : b) Right hand circularly polarised
Description : Identify the polarisation of the wave given, Ex = 2 cos wt and Ey = 2 sin wt. The phase difference is +90 0 . a) Left hand circularly polarised b) Right hand circularly polarised c) Left hand elliptically polarised d) Right hand elliptically polarised
Last Answer : a) Left hand circularly polarised
Description : Identify the polarisation of the wave given, Ex = 2 cos wt and Ey = sin wt. The phase difference is -90 0 . a) Left hand circularly polarised b) Right hand circularly polarised c) Left hand elliptically polarised d) Right hand elliptically polarised
Last Answer : d) Right hand elliptically polarised
Description : Identify the polarisation of the wave given, Ex = Exo cos wt and Ey = Eyo sin wt. The phase difference is +90 0 . a) Left hand circularly polarised b) Right hand circularly polarised c) Left hand elliptically polarised d) Right hand elliptically polarised
Last Answer : c) Left hand elliptically polarised
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 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 : 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 : 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 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 : A force F = 2i + 3j - k is passing through the origin. Its moment about point (1, 1, 0) is a.Zero b.2i + 3j c.i - j - k d.i + j e.i + j + k
Last Answer : c. i - j - k
Description : A force F = 2i + 3j - k is passing through the origin. Its moment about point (1, 1, 0) is a.107 dynes b.i + j + k c.2i + 3j d.zero e.i - j - k
Last Answer : b. i + j + k
Description : Find the area of a right angled triangle with sides of 90 degree unit and the functions described by L = cos y and M = sin x. a) 0 b) 45 c) 90 d) 180
Last Answer : d) 180
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 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 : 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 : Is the vector is irrotational. E = yz i + xz j + xy k a) Yes b) No
Last Answer : a) Yes
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 : Which of the following represents shearing? a.(x, y) → (x+shx, y+shy) b.(x, y) → (ax, by) c.(x, y) → (x cos(θ)+y sin(θ), -x sin(θ)+y cos(θ)) d.(x, y) → (x+shy, y+shx)
Last Answer : d.(x, y) → (x+shy, y+shx)
Description : Let `0le theta le pi/2` `x=Xcos theta + Ysin theta` `y=Xsin theta - Y cos theta` such that `x^2+4xy+y^2=aX^2+bY^2` where `a,b` are constants such that
Last Answer : Let `0le theta le pi/2` `x=Xcos theta + Ysin theta` `y=Xsin theta - Y cos theta` such that `x^2+4xy+y^2=aX^2+ ... C. `a=3`, `b=-1` D. `theta=(pi)/(3)`
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 : 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 : 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 : 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 : 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 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 : Find the curl of E when B is given as 15t. a) 15 b) -15 c) 7.5 d) -7.5
Last Answer : b) -15
Description : For static fields, the curl of E will be a) Rotational b) Irrotational c) Solenoidal d) Divergent
Last Answer : b) Irrotational
Description : The charge density of a electrostatic field is given by a) Curl of E b) Divergence of E c) Curl of D d) Divergence of D
Last Answer : d) Divergence of D
Description : In dielectric medium, the Maxwell second equation becomes a) Curl(H) = Jd b) Curl(H) = Jc c) Curl(E) = Jd d) Curl(E) = Jd
Last Answer : a) Curl(H) = Jd
Description : The Maxwell second equation that is valid in any conductor is a) Curl(H) = Jc b) Curl(E) = Jc c) Curl(E) = Jd d) Curl(H) = Jd
Last Answer : a) Curl(H) = Jc