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

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
by

1 Answer

Answer :

b) -3.197i + 2.393j – 4.472k
by

Related questions

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)

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)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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)

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)

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)

The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False. a) True b) False

Description : The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False. a) True b) False

Last Answer : a) True

The polar form of Cartesian coordinates is a) Circular coordinates b) Spherical coordinates c) Cartesian coordinates d) Space coordinates

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

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)

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)

The distance vector is obtained in a) Cartesian coordinate system b) Spherical coordinate system c) Circular coordinate system d) Space 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

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)

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)

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

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

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 : 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

Last Answer : d) 6400 π

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)

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)

Gauss law can be evaluated in which coordinate system? a) Cartesian b) Cylinder c) Spherical d) Depends on the Gaussian surface

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

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

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

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

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

Spherical systems are employed in waveguides. State True/False a) True b) False

Description : Spherical systems are employed in waveguides. State True/False a) True b) False

Last Answer : b) False

Example of spherical system in the following is a) Charge in space b) Charge in box c) Charge in dielectric d) Uncharged system

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

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

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

The cylindrical coordinate system is also referred to as a) Cartesian system b) Circular system c) Spherical system d) Space 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

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

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

The Cartesian system is also called as a) Circular coordinate system b) Rectangular coordinate system c) Spherical coordinate system d) Space coordinate 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

The Poynting vector is the power component that is calculated by the a) Product of E and H b) Ratio of E and H c) Dot product of E and H d) Cross product of E and H

Description : The Poynting vector is the power component that is calculated by the a) Product of E and H b) Ratio of E and H c) Dot product of E and H d) Cross product of E and H

Last Answer : d) Cross product of E and H

The vectors of the electromagnetic wave propagation can be expressed in a) Dot product b) Cross product c) Unit vector d) Perpendicular vector

Description : The vectors of the electromagnetic wave propagation can be expressed in a) Dot product b) Cross product c) Unit vector d) Perpendicular vector

Last Answer : b) Cross product

The gradient of the magnetic vector potential can be expressed as a) –με dV/dt b) +με dE/dt c) –με dA/dt d) +με dB/dt

Description : The gradient of the magnetic vector potential can be expressed as a) –με dV/dt b) +με dE/dt c) –με dA/dt d) +με dB/dt

Last Answer : a) –με dV/dt

The charge density of a field with a position vector as electric flux density is given by a) 0 b) 1 c) 2 d) 3

Description : The charge density of a field with a position vector as electric flux density is given by a) 0 b) 1 c) 2 d) 3

Last Answer : d) 3

The magnitude of the conduction current density for a magnetic field intensity of a vector yi + zj + xk will be a) 1.414 b) 1.732 c) -1.414 d) -1.732

Description : The magnitude of the conduction current density for a magnetic field intensity of a vector yi + zj + xk will be a) 1.414 b) 1.732 c) -1.414 d) -1.732

Last Answer : b) 1.732

The charge density of a system with the position vector as electric flux density is a) 0 b) 1 c) 2 d) 3

Description : The charge density of a system with the position vector as electric flux density is a) 0 b) 1 c) 2 d) 3

Last Answer : d) 3

Find the magnetic flux density when the vector potential is a position vector. a) 1 b) 0 c) -1 d) ∞

Description : Find the magnetic flux density when the vector potential is a position vector. a) 1 b) 0 c) -1 d) ∞

Last Answer : b) 0

Find the magnetic field when the magnetic vector potential is a unit vector. a) 1 b) -1 c) 0 d) 2

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

The relation between flux density and vector potential is a) B = Curl(A) b) A = Curl(B) c) B = Div(A) d) A = Div(B)

Description : The relation between flux density and vector potential is a) B = Curl(A) b) A = Curl(B) c) B = Div(A) d) A = Div(B)

Last Answer : a) B = Curl(A)

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

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

The magnetic vector potential for a line current will be inversely proportional to a) dL b) I c) J d) R

Description : The magnetic vector potential for a line current will be inversely proportional to a) dL b) I c) J d) R

Last Answer : d) R

The Laplacian of the magnetic vector potential will be a) –μ J b) – μ I c) –μ B d) –μ H

Description : The Laplacian of the magnetic vector potential will be a) –μ J b) – μ I c) –μ B d) –μ H

Last Answer : a) –μ J

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

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

Given the vector potential is 16 – 12sin y j. Find the field intensity at the origin. a) 28 b) 16 c) 12 d) 4

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

Find the magnetic field intensity when the magnetic vector potential x i + 2y j + 3z k. a) 6 b) -6 c) 0 d) 1

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

The magnetic vector potential is a scalar quantity. a) True b) False

Description : The magnetic vector potential is a scalar quantity. a) True b) False

Last Answer : b) False

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

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

Calculate the polarisation vector in air when the susceptibility is 5 and electric field is 12 units. a) 3 b) 2 c) 60 d) 2.4

Description : Calculate the polarisation vector in air when the susceptibility is 5 and electric field is 12 units. a) 3 b) 2 c) 60 d) 2.4

Last Answer : c) 60

Calculate the polarisation vector of the material which has 100 dipoles per unit volume in a volume of 2 units. a) 200 b) 50 c) 400 d) 0.02

Description : Calculate the polarisation vector of the material which has 100 dipoles per unit volume in a volume of 2 units. a) 200 b) 50 c) 400 d) 0.02

Last Answer : a) 200

Find the Gauss value for a position vector in Cartesian system from the origin to one unit in three dimensions. a) 0 b) 3 c) -3 d) 1

Description : Find the Gauss value for a position vector in Cartesian system from the origin to one unit in three dimensions. a) 0 b) 3 c) -3 d) 1

Last Answer : b) 3

Using volume integral, which quantity can be calculated? a) area of cube b) area of cuboid c) volume of cube d) distance of vector

Description : Using volume integral, which quantity can be calculated? a) area of cube b) area of cuboid c) volume of cube d) distance of vector

Last Answer : c) volume of cube

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

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