Description : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral. a) 600 b) 588.9 c) 577.8 d) 599.7
Last Answer : b) 588.9
Description : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2. a) 600 b) 599.8 c) 588.9 d) 577.8
Last Answer : c) 588.9
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 : 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 : Compute divergence theorem for D = 5r 2 /4 i in spherical coordinates between r = 1 and r = 2 in volume integral. a) 80 π b) 5 π c) 75 π d) 85 π
Last Answer : c) 75 π
Description : Compute divergence theorem for D= 5r 2 /4 i in spherical coordinates between r=1 and r=2. a) 80π b) 5π c) 75π d) 85π
Last Answer : c) 75π
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 : 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 : Transform the vector (4,-2,-4) at (1,2,3) into spherical coordinates. a) 3.197i – 2.393j + 4.472k b) -3.197i + 2.393j – 4.472k c) 3.197i + 2.393j + 4.472k d) -3.197i – 2.393j – 4.472k
Last Answer : b) -3.197i + 2.393j – 4.472k
Description : Find the spherical coordinates of A(2,3,-1) a) (3.74, 105.50, 56.130) b) (3.74, 105.50, 56.310) c) (3.74, 106.50, 56.130) d) (3.74, 106.50, 56.310)
Last Answer : b) (3.74, 105.50, 56.310)
Description : Convert the point (3,4,5) from Cartesian to spherical coordinates a) (7.07,450,530) b) (0.707,450,530) c) (7.07,540,630) d) (0.707,540,630)
Last Answer : a) (7.07,450,530)
Description : The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False. a) True b) False
Last Answer : a) True
Description : The polar form of Cartesian coordinates is a) Circular coordinates b) Spherical coordinates c) Cartesian coordinates d) Space coordinates
Last Answer : a) Circular coordinates
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 : 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 : 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 : 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 scalar factor of Cartesian system is unity. State True/False. a) True b) False
Description : In homogeneous coordinates value of ‘h’ is consider as 1 & it is called….. a.Magnitude Vector b.Unit Vector c.Non-Zero Vector d.Non-Zero Scalar Factor
Last Answer : d.Non-Zero Scalar Factor
Description : he work done of vectors force F and distance d, separated by angle θ can be calculated using, a) Cross product b) Dot product c) Addition of two vectors d) Cannot be calculated
Last Answer : b) Dot product
Description : The magnetic vector potential is a scalar quantity. a) True b) False
Last Answer : b) False
Description : The curl of a curl of a vector gives a a) Scalar b) Vector c) Zero value d) Non zero value
Last Answer : b) Vector
Description : The divergence of a vector is a scalar. State True/False. a) True b) False
Description : Cylindrical systems have the following scalar values respectively a) 1, ρ ,1 b) 1, 1, 1 c) 0,1,0 d) 1,0,0
Last Answer : a) 1, ρ ,1
Description : Which of the following is not true? a) A . (B . C) = scalar value b) A . (B x C) = scalar value c) A x (B . C) = scalar value d) A x (B x C) = vector value
Last Answer : c) A x (B . C) = scalar value
Description : The dot product of two vectors is a scalar. The cross product of two vectors is a vector. State True/False. a) True b) Fals
Description : The original coordinates of the point in polar coordinates are a.X’=r cos (Ф +ϴ) and Y’=r cos (Ф +ϴ) b.X’=r cos (Ф +ϴ) and Y’=r sin (Ф +ϴ) c.X’=r cos (Ф -ϴ) and Y’=r cos (Ф -ϴ) d.X’=r cos (Ф +ϴ) and Y’=r sin (Ф -ϴ)
Last Answer : b.X’=r cos (Ф +ϴ) and Y’=r sin (Ф +ϴ)
Description : Compute the Gauss law for D = 10ρ 3 /4 i, in cylindrical coordinates with ρ = 4m, z = 0 and z = 5, hence find charge using volume integral. a) 6100 π b) 6200 π c) 6300 π d) 6400 π View Answe
Last Answer : d) 6400 π
Description : Compute the Gauss law for D= 10ρ 3 /4 i, in cylindrical coordinates with ρ= 4m, z=0 and z=5. a) 6100 π b) 6200 π c) 6300 π d) 6400 π
Description : Find the Cartesian coordinates of B(4,250,1200) a) (0.845, 1.462, 3.625) b) (-0.845, 1.462, 3.625) c) (-8.45, 2.462, 6.325) d) (8.45, 2.462, 6.325)
Last Answer : b) (-0.845, 1.462, 3.625)
Description : Convert the given rectangular coordinates A(2,3,1) into corresponding cylindrical coordinates a) (3.21,56.31,1) b) (3.21,57.31,0) c) (3.61,57.31,0) d) (3.61,56.31,1)
Last Answer : d) (3.61,56.31,1)
Description : Transform the vector B=yi+(x+z)j located at point (-2,6,3) into cylindrical coordinates. a) (6.325,-71.57,3) b) (6.325,71.57,3) c) (6.325,73.57,3) d) (6.325,-73.57,3)
Last Answer : a) (6.325,-71.57,3)
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 : Gauss law can be evaluated in which coordinate system? a) Cartesian b) Cylinder c) Spherical d) Depends on the Gaussian surface
Last Answer : d) Depends on the Gaussian surface
Description : The divergence theorem for a surface consisting of a sphere is computed in which coordinate system? a) Cartesian b) Cylindrical c) Spherical d) Depends on the function
Last Answer : d) Depends on the function
Description : Choose which of following condition is not required for a waveguide to exist. a) The dimensions should be in accordance with desired frequency b) Cut-off frequency should be minimum 6GHz c) The shape should be spherical d) No specific condition is required for waveguide design
Last Answer : c) The shape should be spherical
Description : Spherical systems are employed in waveguides. State True/False a) True b) False
Description : Example of spherical system in the following is a) Charge in space b) Charge in box c) Charge in dielectric d) Uncharged system
Last Answer : a) Charge in space
Description : A charge located at point p (5,300,2) is said to be in which coordinate system? a) Cartesian system b) Cylindrical system c) Spherical system d) Space system
Last Answer : b) Cylindrical system
Description : The cylindrical coordinate system is also referred to as a) Cartesian system b) Circular system c) Spherical system d) Space system
Last Answer : b) Circular system
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 : A charge is placed in a square container. The position of the charge with respect to the origin can be found by a) Spherical system b) Circular system c) Cartesian system d) Space coordinate system
Last Answer : c) Cartesian system
Description : The Cartesian system is also called as a) Circular coordinate system b) Rectangular coordinate system c) Spherical coordinate system d) Space coordinate system
Last Answer : b) Rectangular coordinate system
Description : The distance vector is obtained in a) Cartesian coordinate system b) Spherical coordinate system c) Circular coordinate system d) Space coordinate system
Last Answer : d) Space coordinate system
Last Answer : We hold theta = A. sin2A + cos2 (PM / OP) 2+ (OM / OP) 2 PM2 / OP2 + OM2OP2 (PM2 + OM2) / OP2 OP2 / OP2 => 1 So sin2A + cos2A = 1
Description : Dimensions of sin θ is
Last Answer : Dimensions of sin θ is (A) [L2] (B) [M] (C) [ML] (D) [M0L0T0]
Description : In trapezoidal threads, f (coefficient of friction) can be taken as a) f sec θ b) f cos θ c) f sin θ d) f cosec θ
Last Answer : a) f sec θ
Description : The maximum tangential stress σ t = (σ x sin 2θ)/2 is maximum if, θ is equal to ________ a. 45 o b. 90 o c. 270 o d. all of the above
Last Answer : a. 45 o
Description : Which of the following formulae is used to calculate tangential stress, when a member is subjected to stress in mutually perpendicular axis and accompanied by a shear stress? a. [(σ x - σ y )/2 ]sin θ - τ cos 2θ b. [(σ x - ... τ cos 2θ c. [(σ x - σ y )/2 ]sin θ - τ 2 cos θ d. None of the above
Last Answer : c. [(σ x – σ y )/2 ]sin θ – τ 2 cos θ
Description : The condition of diffraction from a crystal is given by (A) nλ = 2d Sin θ (B) λ = d Sin 2θ (C) λ = 2d Sin 2θ (D) nλ = d Sin θ
Last Answer : (A) nλ = 2d Sin θ