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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 u_{z }direction from B to C. A filamentary current of 15 A flows along the entire z, axis in the u_{z} directions.

Que: The force on side BC is

Solution:

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 u_{z }direction from B to C. A filamentary current of 15 A flows along the entire z, axis in the u_{z} directions.

Que: The force on side AB is

Solution:

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

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 u_{z }direction from B to C. A filamentary current of 15 A flows along the entire z, axis in the u_{z} directions.

Que: The total force on the loop is

Solution:

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

QUESTION: 4

Consider the rectangular loop on z = 0 plane shown in fig. The magnetic flux density is B = 6 xu_{x} - 9 yu_{y} + 3zu_{z} Wb/m^{2}. The total force experienced by the rectangular loop is

Solution:

QUESTION: 5

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

Que: If the current filament is located at x = 0, y = 0.5 andu u_{L} = u_{Z} , then F is

Solution:

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

QUESTION: 6

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

Que: If the current filament is located at y = 0.5, z = 0, and u_{L} = u_{x}, then F is

Solution:

QUESTION: 7

Two infinitely long parallel filaments each carry 100 A in the u_{z} 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

Solution:

QUESTION: 8

A conducting current strip carrying K = 6u_{z} 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 u_{z} direction on the z –axis.

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

Solution:

The field from the current strip at the filament location

QUESTION: 9

A conducting current strip carrying K = 6u_{z} 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 u_{z} direction on the z –axis.

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

Solution:

QUESTION: 10

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

Solution:

QUESTION: 11

In a certain material for which μ_{r} = 6.5 ,

H = 10u_{x} + 25u_{y} - 40u_{z} A/m

Que:

The magnetic susceptibility χ_{m} of the material is

Solution:

QUESTION: 12

In a certain material for which μ_{r} = 6.5 , H = 10u_{x} + 25u_{y} - 40u_{z} A/m

Que: The magnetic flux density B is

Solution:

QUESTION: 13

In a certain material for which μ_{r} = 6.5 , H = 10u_{x} + 25u_{y} - 40u_{z} A/m

Que: The magnetization M is

Solution:

QUESTION: 14

In a certain material for which μ_{r} = 6.5 , H = 10u_{x} + 25u_{y} - 40u_{z} A/m

Que: The magnetic energy density is

Solution:

QUESTION: 15

For a given material magnetic susceptibility χ_{m} = 3.1 and within which B = 0.4 yu_{z} T.

Que: The magnetic field H is

Solution:

QUESTION: 16

For a given material magnetic susceptibility χ_{m} = 3.1 and within which B = 0.4 yu_{z} T.

Que: The magnetization M is

Solution:

QUESTION: 17

A particular material has 2.7 x 10^{29} atoms/m^{3} and each atom has a dipole moment of 2.6 x 10^{30} u_{y} A .m^{2}. The H in material is (μ_{r} = 4.2 )

Solution:

QUESTION: 18

In a material magnetic flux density is 0.02 Wb/m^{2 }and the magnetic susceptibility is 0.003. The magnitude of the magnetization is

Solution:

QUESTION: 19

A uniform field H = -600 u_{y} 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

Solution:

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

Solution:

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