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 : 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 : Find the Laplace equation value of the following potential field V = x 2 – y 2 + z 2 a) 0 b) 2 c) 4 d) 6
Last Answer : b) 2
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 : The Poisson equation cannot be determined from Laplace equation. State True/False. a) True b) False
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 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 : 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 : 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 : 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 : 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
Last Answer : a) True
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 : The point form of Gauss law is given by, Div(V) = ρv State True/False. a) True b) False
Description : If a + b = 1 ,and the ordered pair (a, b) satisfies the equation 2x + y = , then it also satisfies (a) 2x + y (b) 3x + 4y = 3 (c) x + 2y = (d) 2x + 4y =
Last Answer : (c) x + 2y =
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 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 : 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 : 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 : Electric field of an infinitely long conductor of charge density λ, is given by E = λ/(2πεh).aN. State True/False. a) True b) False
Description : The potential of a uniformly charged line with density λ is given by, λ/(2πε) ln(b/a). State True/False. a) True b) False
Description : The integral form of potential and field relation is given by line integral. State True/False a) True b) False
Description : The vector product of two vectors is given by area of the parallelogram. State True/False. a) True b) False
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 : 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 : The angle A lies in the third quadrant and it satisfies the equation 4 (sin^2x + cos x) = 1. What is the measure of angle A? -Maths 9th
Last Answer : answer:
Description : When gradient of a function is zero, the function lies parallel to the x-axis. State True/False. a) True b) False
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 : 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 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 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 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 : 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 : 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 : 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 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 : Half the perimeter of a rectangular garden in 36m. Write a linear equation which satisfies this data. Draw the graph for the same. -Maths 9th
Last Answer : Solution :-
Description : The skin depth is calculated from the amplitude of the wave. State true/false a) True b) False
Description : In P polarisation, the electric field lies in the same plane as the interface. State True/False. a) True b) False
Description : In S polarisation, the electric field lies in the plane perpendicular to that of the interface. State True/False a) True b) False
Description : The Snell law is applicable for perpendicular polarisation and the Brewster law is applicable for parallel polarisation. State True/False. a) True b) False
Description : The angle of incidence is equal to the angle of reflection for perfect reflection. State True/False. a) True b) False
Description : The critical angle is defined as the angle of incidence at which the total internal reflection starts to occur. State True/False. a) True b) False
Description : An elliptically polarised wave transmitted at the Brewster angle will be received as an elliptically polarised wave. State True/False a) True b) False
Description : A circularly polarised wave transmitted at the Brewster angle will be received as linearly polarised wave. State True/False a) True b) False
Description : The core refractive index should be lesser than the cladding refractive index for a coaxial cable. State True/False a) True b) False