Find whether the vector is solenoidal, E = yz i + xz j + xy k
a) Yes, solenoidal
b) No, non-solenoidal
c) Solenoidal with negative divergence
d) Variable divergence

1 Answer

Answer :

a) Yes, solenoidal

Related questions

Description : Is the vector is irrotational. E = yz i + xz j + xy k a) Yes b) No

Last Answer : a) Yes

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 : Find the divergence of the vector F= xe -x i + y j – xz k a) (1 – x)(1 + e -x ) b) (x – 1)(1 + e -x ) c) (1 – x)(1 – e) d) (x – 1)(1 – e)

Last Answer : a) (1 – x)(1 + e -x )

Description : Determine the divergence of F = 30 i + 2xy j + 5xz 2 k at (1,1,-0.2) and state the nature of the field. a) 1, solenoidal b) 0, solenoidal c) 1, divergent d) 0, divergent

Last Answer : b) 0, solenoidal

Description : A vector is said to be solenoidal when its a) Divergence is zero b) Divergence is unity c) Curl is zero d) Curl is unity

Last Answer : a) Divergence is zero

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 : 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

Description : If a = (xy)/(x+y), b = (xz)/(x+z), and c = (yz)/(y+z), where a, b and c are non-zero, then what is x equal to ? -Maths 9th

Last Answer : answer:

Description : x^4 + xy^3 + x^3y + xz^3 + y^4 + yz^3 is divisible by : -Maths 9th

Last Answer : answer:

Description : In the given figure, YZ is parallel to MN, XY is parallel is LM and XZ is parallel to LN. Then MY is -Maths 9th

Last Answer : answer:

Description : Simplified Boolean equation for the following truth table is: (A) F = yz’ + y’z (B) F = xy’ + x’y (C) F = x’z + xz’ (D) F = x’z + xz’ + xyz 

Last Answer : (C) F = x’z + xz’ 

Description : Divergence theorem computes to zero for a solenoidal function. State True/False. a) True b) False

Last Answer : a) True

Description : Identify the nature of the field, if the divergence is zero and curl is also zero. a) Solenoidal, irrotational b) Divergent, rotational c) Solenoidal, irrotational d) Divergent, rotational

Last Answer : c) Solenoidal, irrotational

Description : A field has zero divergence and it has curls. The field is said to be a) Divergent, rotational b) Solenoidal, rotational c) Solenoidal, irrotational d) Divergent, irrotational

Last Answer : b) Solenoidal, rotational

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 : 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 : Which of the following are not vector functions in Electromagnetic? a) Gradient b) Divergence c) Curl d) There is no non- vector functions in Electromagnetics

Last Answer : d) There is no non- vector functions in Electromagnetics

Description : For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π 2 m. a) 1 b) 2 c) 3 d) 4

Last Answer : b) 2

Description : When a vector is irrotational, which condition holds good? a) Stoke’s theorem gives non-zero value b) Stoke’s theorem gives zero value c) Divergence theorem is invalid d) Divergence theorem is valid

Last Answer : b) Stoke’s theorem gives zero value

Description : Find the divergence of the vector yi + zj + xk. a) -1 b) 0 c) 1 d) 3

Last Answer : b) 0

Description : Compute the divergence of the vector xi + yj + zk. a) 0 b) 1 c) 2 d) 3

Last Answer : d) 3

Description : The divergence of a vector is a scalar. State True/False. a) True b) False

Last Answer : a) True

Description : Divergence of gradient of a vector function is equivalent to a) Laplacian operation b) Curl operation c) Double gradient operation d) Null vector

Last Answer : a) Laplacian operation

Description : The divergence of curl of a vector is zero. State True or False. a) True b) False

Last Answer : a) True

Description : The relation between vector potential and field strength is given by a) Gradient b) Divergence c) Curl d) Del operator

Last Answer : a) Gradient

Description : The del operator is called as a) Gradient b) Curl c) Divergence d) Vector differential operator

Last Answer : d) Vector differential operator

Description : The divergence of distance vector is a) 0 b) 3 c) 2 d) 1

Last Answer : b) 3

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

Last Answer : d) 0

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

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 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 : Find the curl of the vector and state its nature at (1,1,-0.2) F = 30 i + 2xy j + 5xz 2 k a) √4.01 b) √4.02 c) √4.03 d) √4.04

Last Answer : d) √4.04

Description : Identify the correct vector identity. a) i . i = j . j = k . k = 0 b) i X j = j X k = k X i = 1 c) Div (u X v) = v . Curl(u) – u . Curl(v) d) i . j = j . k = k . i = 1

Last Answer : c) Div (u X v) = v . Curl(u) – u . Curl(v)

Description : The unit vector to the points p1(0,1,0), p2(1,0,1), p3(0,0,1) is a) (-j – k)/1.414 b) (-i – k)/1.414 c) (-i – j)/1.414 d) (-i – j – k)/1.414

Last Answer : a) (-j – k)/1.414

Description : Find a vector normal to a plane consisting of points p1(0,1,0), p2(1,0,1) and p3(0,0,1) a) –j – k b) –i – j c) –i – k d) –i – j – k

Last Answer : a) –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 : 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 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 : For static fields, the curl of E will be a) Rotational b) Irrotational c) Solenoidal d) Divergent

Last Answer : b) Irrotational

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 : Which quantity is solenoidal in the electromagnetic theory? a) Electric field intensity b) Electric flux density c) Magnetic field intensit d) Magnetic flux density

Last Answer : d) Magnetic flux density

Description : For a solenoidal field, the surface integral of D will be, a) 0 b) 1 c) 2 d) 3

Last Answer : a) 0

Description : In a medium other than air, the electric flux density will be a) Solenoidal b) Curl free c) Irrotational d) Divergent

Last Answer : d) Divergent

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 : A field in which a test charge around any closed surface in static path is zero is called a) Solenoidal b) Rotational c) Irrotational d) Conservativ

Last Answer : d) Conservative

Description : The magnetic field intensity is said to be a) Divergent b) Curl free c) Solenoidal d) Rotational

Last Answer : c) Solenoidal

Description : The non existence of the magnetic monopole is due to which operation? a) Gradient b) Divergence c) Curl d) Laplacian

Last Answer : b) Divergence

Description : Which one of the following is one of the factors of x^2 (y – z) + y^2 (z – x) – z (xy – yz – zx) ? -Maths 9th

Last Answer : answer:

Description : If x + y + z = 0, then x^2/(2x^2+yz)+y^2/(2y^2+zx)+z^2/(2z^2+xy) = -Maths 9th

Last Answer : answer:

Description : If `x=1+log_(a) bc, y=1+log_(b) ca, z=1+log_(c) ab`, then `(xyz)/(xy+yz+zx)` is equal to

Last Answer : If `x=1+log_(a) bc, y=1+log_(b) ca, z=1+log_(c) ab`, then `(xyz)/(xy+yz+zx)` is equal to A. 2 B. 1 C. 4 D. 6