Test: Magnetostatics


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20 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Test: Magnetostatics

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Test: Magnetostatics - Question 1

A rectangular loop of wire in free space joins points A(1, 0, 1) to B(3, 0, 1) to C(3, 0, 4) to D(1, 0, 4) to A. The wire carries a current of 6 mA flowing in the udirection from B to C. A filamentary current of 15 A flows along the entire z, axis in the uz directions.

Que: The force on side BC is

Detailed Solution for Test: Magnetostatics - Question 1

Test: Magnetostatics - Question 2

A rectangular loop of wire in free space joins points A(1, 0, 1) to B(3, 0, 1) to C(3, 0, 4) to D(1, 0, 4) to A. The wire carries a current of 6 mA flowing in the udirection from B to C. A filamentary current of 15 A flows along the entire z, axis in the uz directions.

Que: The force on side AB is

Detailed Solution for Test: Magnetostatics - Question 2

 The field from the long wire now varies with position along the loop segment.

Test: Magnetostatics - Question 3

A rectangular loop of wire in free space joins points A(1, 0, 1) to B(3, 0, 1) to C(3, 0, 4) to D(1, 0, 4) to A. The wire carries a current of 6 mA flowing in the udirection from B to C. A filamentary current of 15 A flows along the entire z, axis in the uz directions.

Que: The total force on the loop is

Detailed Solution for Test: Magnetostatics - Question 3

This will be the vector sum of the forces on the four sides. By symmetry, the forces on sides AB and CD will be equal and opposite, and so will cancel. This leaves the sum of forces on side BC and DA

Test: Magnetostatics - Question 4

Consider the rectangular loop on z = 0 plane shown in fig. The magnetic flux density is B = 6 xux - 9 yuy + 3zuz Wb/m2. The total force experienced by the rectangular loop is

Detailed Solution for Test: Magnetostatics - Question 4

Test: Magnetostatics - Question 5

Three uniform current sheets are located in free space as follows: 8uz A/m at y = 0, -4uz A/m at y = 1 and -4uz A/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uL direction.

Que: If the current filament is located at x = 0, y = 0.5 andu uL =  uZ , then F is

Detailed Solution for Test: Magnetostatics - Question 5

Within the region 1 < y <1, the magnetic fields from the two outer sheets (carrying -4 uz A/m) cancel, leaving only the field from the center sheet. Therefore

Test: Magnetostatics - Question 6

Three uniform current sheets are located in free space as follows: 8uz A/m at y = 0, -4uz A/m at y = 1 and -4uz A/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uL direction.

Que: If the current filament is located at y = 0.5, z = 0, and uL = ux, then F is

Detailed Solution for Test: Magnetostatics - Question 6

Test: Magnetostatics - Question 7

Two infinitely long parallel filaments each carry 100 A in the uz direction. If the filaments lie in the plane y = 0 at x = 0 and x = 5 mm, the force on the filament passing through the origin is

Detailed Solution for Test: Magnetostatics - Question 7

Test: Magnetostatics - Question 8

A conducting current strip carrying K =  6uz A/m lies in the x = 0 plane between y = 0.5 and y = 1.5 m. There is also a current filament of I = 5 A in the uz direction on the z –axis.

Que: The force exerted on the filament by the current strip is

Detailed Solution for Test: Magnetostatics - Question 8

The field from the current strip at the filament location

Test: Magnetostatics - Question 9

A conducting current strip carrying K =  6uz A/m lies in the x = 0 plane between y = 0.5 and y = 1.5 m. There is also a current filament of I = 5 A in the uz direction on the z –axis.

Que: The force exerted on the strip by the filament is

Detailed Solution for Test: Magnetostatics - Question 9

Test: Magnetostatics - Question 10

In a material the magnetic field intensity is H = 1200A/m when B = 2 Wb/m2. When H is reduced to 400 A/m, B =1.4 Wb/m2. The change in the magnetization M is

Detailed Solution for Test: Magnetostatics - Question 10

Test: Magnetostatics - Question 11

In a certain material for which μr = 6.5 ,

H = 10ux + 25uy - 40uz  A/m

Que:

The magnetic susceptibility χm of the material is

Detailed Solution for Test: Magnetostatics - Question 11

Test: Magnetostatics - Question 12

In a certain material for which μr = 6.5 , H = 10ux + 25uy - 40uz  A/m

Que: The magnetic flux density B is

Detailed Solution for Test: Magnetostatics - Question 12

Test: Magnetostatics - Question 13

In a certain material for which μr = 6.5 , H = 10ux + 25uy - 40uz  A/m

Que: The magnetization M is

Detailed Solution for Test: Magnetostatics - Question 13

Test: Magnetostatics - Question 14

In a certain material for which μr = 6.5 , H = 10ux + 25uy - 40uz  A/m

Que: The magnetic energy density is

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Test: Magnetostatics - Question 15

For a given material magnetic susceptibility χm = 3.1 and within which B = 0.4 yuz T.

Que: The magnetic field H is

Detailed Solution for Test: Magnetostatics - Question 15

Test: Magnetostatics - Question 16

For a given material magnetic susceptibility χm = 3.1 and within which B = 0.4 yuz T.

Que: The magnetization M is

Detailed Solution for Test: Magnetostatics - Question 16

Test: Magnetostatics - Question 17

A particular material has 2.7 x 1029  atoms/m3 and each atom has a dipole moment of 2.6 x 1030 uy A .m2. The H in material is (μr = 4.2 )

Detailed Solution for Test: Magnetostatics - Question 17

Test: Magnetostatics - Question 18

In a material magnetic flux density is 0.02 Wb/mand the magnetic susceptibility is 0.003. The magnitude of the magnetization is

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Test: Magnetostatics - Question 19

A uniform field H = -600 uy A/m exist in free space. The total energy stored in spherical region 1 cm in radius centered at the origin in free space is

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Test: Magnetostatics - Question 20

The magnetization curve for an iron alloy is

approximately given by If H increases from 0 to 210 A/m, the energy stored per unit volume in the alloy is

Detailed Solution for Test: Magnetostatics - Question 20

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