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 : 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
Last Answer : b) False
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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 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 : Given D = e -x sin y i – e -x cos y j Find divergence of D. a) 3 b) 2 c) 1 d) 0
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 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 : The point form of Gauss law is given by, Div(V) = ρv State True/False. a) True b) False
Description : When gradient of a function is zero, the function lies parallel to the x-axis. State True/False. a) True b) False
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 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 : Divergence theorem computes to zero for a solenoidal function. State True/False. a) True b) False
Description : Gradient of a function is a constant. State True/False. a) True b) False
Description : Find the electric field when the magnetic field is given by 2sin t in air. a) 8π x 10 -7 cos t b) 4π x 10 -7 sin t c) -8π x 10 -7 cos t d) -4π x 10 -7 sin t
Last Answer : a) 8π x 10 -7 cos t
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 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 : 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 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 : 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 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 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 : 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 : Identify the polarisation of the wave given that, Ex = 2 sin wt and Ey = 3 sin wt. a) Linear b) Elliptical c) Circular d) Parallel
Last Answer : a) 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 : The Snell’s law is given by a) N1 sin θi = N2 sin θt b) N2 sin θi = N1 sin θt c) sin θi = sin θt d) N1 cos θi = N2 cos θt
Last Answer : a) N1 sin θi = N2 sin θt
Description : Numerical aperture is expressed as the a) NA = sin θa b) NA = cos θa c) NA = tan θa d) NA = sec θa
Last Answer : a) NA = sin θa
Description : Calculate the emf of a material having flux density 5sin t in an area of 0.5 units. a) 2.5 sin t b) -2.5 cos t c) -5 sin t d) 5 cos t
Last Answer : d) 5 cos t
Description : Find the Maxwell first law value for the electric field intensity is given by A sin wt az a) 0 b) 1 c) -1 d) A
Description : The torque expression of a current carrying conductor is a) T = BIA cos θ b) T = BA cos θ c) T = BIA sin θ d) T = BA sin θ
Last Answer : c) T = BIA sin θ
Description : The scalar factor of spherical coordinates is a) 1, r, r sin θ b) 1, r, r c) r, r, 1 d) r, 1, r
Last Answer : a) 1, r, r sin θ
Description : The time varying electric field E is conservative. State True/False. a) True b) False
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