Description : Find the Laplace equation value of the following potential field V = ρ cosφ + z a) 0 b) 1 c) 2 d) 3
Last Answer : a) 0
Description : Find the Laplace equation value of the following potential field V = r cos θ + φ a) 3 b) 2 c) 1 d) 0
Last Answer : d) 0
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 : The given equation satisfies the Laplace equation. V = x 2 + y 2 – z 2 . State True/False. a) True b) False
Last Answer : a) True
Description : Suppose the potential function is a step function. The equation that gets satisfied is a) Laplace equation b) Poisson equation c) Maxwell equation d) Ampere equation
Last Answer : a) Laplace equation
Description : If Laplace equation satisfies, then which of the following statements will be true? a) Potential will be zero b) Current will be infinite c) Resistance will be infinite d) Voltage will be same
Last Answer : b) Current will be infinite
Description : When a potential satisfies Laplace equation, then it is said to be a) Solenoidal b) Divergent c) Lamellar d) Harmonic
Last Answer : d) Harmonic
Description : Identify the advantage of using method of images. a) Easy approach b) Boundaries are replaced by charges c) Boundaries are replaced by images d) Calculation using Poisson and Laplace equation
Last Answer : a) Easy approach
Description : In free space, the Poisson equation becomes a) Maxwell equation b) Ampere equation c) Laplace equation d) Steady state equation
Last Answer : c) Laplace equation
Description : The Poisson equation cannot be determined from Laplace equation. State True/False. a) True 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 : 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 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 : Given the potential V = 25 sin θ, in free space, determine whether V satisfies Laplace’s equation. a) Yes b) No c) Data sufficient d) Potential is not defined
Last Answer : a) Yes
Description : Find the potential at a point (4, 3, -6) for the function V = 2x 2 y + 5z. a) 96 b) 66 c) 30 d) -66
Last Answer : b) 66
Description : Find the magnetic field intensity due to an infinite sheet of current 5A and charge density of 12j units in the positive y direction and the z component is below the sheet. a) 6 b) 0 c) -6 d) 60k
Last Answer : c) -6
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 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 : If V = 2x 2 y – 5z, find its electric field at point (-4,3,6) a) 47.905 b) 57.905 c) 67.905 d) 77.905
Last Answer : b) 57.905
Description : Find the magnetic field intensity due to an infinite sheet of current 5A and charge density of 12j units in the positive y direction and the z component is above the sheet. a) -6 b) 12k c) 60 d) 6
Last Answer : d) 6
Description : If V = 2x 2 y + 20z – 4/(x 2 + y 2 ), find the density at A(6, -2.5, 3) in nC/m 2 . a) 0.531i – 0.6373j – 0.177k b) 0.6373i – 0.177j -0.531k c) 0.177i – 0.6373j – 0.531k d) 0.531i – 0.177j – 0.6373k
Last Answer : a) 0.531i – 0.6373j – 0.177k
Description : Find the divergence theorem value for the function given by (e z , sin x, y 2 ) a) 1 b) 0 c) -1 d) 2
Last Answer : b) 0
Description : If a function is described by F = (3x + z, y 2 − sin x 2 z, xz + ye x5 ), then the divergence theorem value in the region 0
Last Answer : c) 39
Description : The divergence theorem value for the function x 2 + y 2 + z 2 at a distance of one unit from the origin is a) 0 b) 1 c) 2 d) 3
Last Answer : d) 3
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 : When the electric field travels in +x direction and the EM wave is travelling the –y direction, then the magnetic field will be travelling in which direction? a) +z direction b) –z direction c) Either +z or –z direction d) Does not trave
Last Answer : c) Either +z or –z direction
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 the potential of V = 60sin θ/r 2 at P(3,60,25) a) 5.774 b) 6.774 c) 7.774 d) 8.774
Last Answer : a) 5.774
Description : If the potential is given by, V = 10sin θ cosφ/r, find the density at the point P(2, π/2, 0) (in 10 -12 units) a) 13.25 b) 22.13 c) 26.31 d) 31.52
Last Answer : b) 22.13
Description : Calculate the potential when a conductor of length 2m is having an electric field of 12.3units. a) 26.4 b) 42.6 c) 64.2 d) 24.6
Last Answer : d) 24.6
Description : Find the electric potential for an electric field 3units at a distance of 2m. a) 9 b) 4 c) 6 d) 3/2
Last Answer : c) 6
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 : 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 : When electric potential is null, then the electric field intensity will be a) 0 b) 1 c) dA/dt d) –dA/dt
Last Answer : d) –dA/dt
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 : 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 : Calculate the electric field intensity of a line charge of length 2m and potential 24V. a) 24 b) 12 c) 0.083 d) 12.67
Description : The potential in a lamellar field is a) 1 b) 0 c) -1 d) ∞
Description : Determine the charge that produces an electric field strength of 40 V/cm at a distance of 30cm in vacuum(in 10 -8 C) a) 4 b) 2 c) 8 d) 6
Last Answer : a) 4
Description : The resultant electric field of two components in the x and y direction having amplitudes 6 and 8 respectively is a) 100 b) 36 c) 64 d) 10
Last Answer : d) 10
Description : Find the work done moving a charge 2C having potential V = 24volts is a) 96 b) 24 c) 36 d) 48
Last Answer : d) 48
Description : Find the potential of the function V = 60cos θ/r at the point P(3, 60, 25). a) 20 b) 10 c) 30 d) 60
Last Answer : b) 10
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 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 : 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 : Find the divergence of the field, P = x 2 yz i + xz k a) xyz + 2x b) 2xyz + x c) xyz + 2z d) 2xyz + z
Last Answer : b) 2xyz + x
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