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The document contains 6 problems related to calculating magnetic fields and fluxes using Ampere's law and Stokes' theorem in cylindrical and Cartesian coordinates. The problems involve determining incremental magnetic fields and total magnetic flux due to current carrying wires, as well as calculating magnetic field intensities inside and outside coaxial cables of varying radii carrying current. Stokes' theorem and its application to calculating magnetic flux through portions of cones is also stated.

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0% found this document useful (0 votes)
826 views12 pages

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The document contains 6 problems related to calculating magnetic fields and fluxes using Ampere's law and Stokes' theorem in cylindrical and Cartesian coordinates. The problems involve determining incremental magnetic fields and total magnetic flux due to current carrying wires, as well as calculating magnetic field intensities inside and outside coaxial cables of varying radii carrying current. Stokes' theorem and its application to calculating magnetic flux through portions of cones is also stated.

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deeepakkhadse
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© © All Rights Reserved
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EME

TE(E&C) SESSION 2009-10


TUOTURAL UNIT -III

1 Find incremental field ΔH at P2 caused by P1 for,


i) I1ΔLI = 2 π az μ A.M P1(4,-2,3) P2(0,3,0).
ii) I1ΔLI = 2π ( 0.6 az -0.8ay ) μ A.M P1(4,-2,3) P2(1,3,2).

2 Calculate total magnetic flux for a cubical box bounded by x = 0, x= 1 ,y = 0, y= 1 and


z = 0, z= 1 having, B = (x+2) ax+(1-3y) ay+2z az.

3 Let H = 6xy ax – 3y2 ay A/m in the z = 0 plane. Find the total current passing through the
area bounded by 0 ≤ x ≤ 5, 0 ≤ y ≤ 5 in the az direction.

4 In the region 1< r < 0.5 m in cylinder coordinates the current density is J = 4.5 e-2r az (A/M2),
J=0 elsewhere, use Ampere’s law to find H.
5 State stoke’s theorem. If H 1= 6rsin ø ar +18sin ө cos ø aø A/m. Evaluate both side of stoke’s
theorem foe the portion of cone ө = 0.1π founded by r = 2,r = 4 , ø = 0, ø = 0.3 π.
Let ds=ds aө
6 One amp. Flow through coaxial cable having radius a=10 cm , b = 20 cm , c = 25 cm,
find H at 1) r = 6 cm. 2) r = 11 cm . 3) r = 24 cm. 4) r = 26cm.
EME
TE(E&C) SESSION 2010-11
TUOTURAL UNIT -III

1 In the region 1< r < 0.5 m in cylinder coordinates the current density is J = 4.5 e-2r az (A/M2),
J=0 elsewhere, use Ampere’s law to find H.

2State stoke’s theorem. If H 1= 6rsin ø ar +18sin ө cos ø aø A/m. Evaluate both side of stoke’s
theorem foe the portion of cone ө = 0.1π founded by r = 2,r = 4 , ø = 0, ø = 0.3 π.
Let ds=ds aө
3 One amp. Flow through coaxial cable having radius a=10 cm , b = 20 cm , c = 25 cm,
find H at 1) r = 6 cm. 2) r = 11 cm . 3) r = 24 cm. 4) r = 26cm.
4 Find current distribution which produces the field , using Ampere’s circuital law in
differential arm in cylindrical coordinates , for the may field intensity given below:
Jor2 aø 0< r < a
H = Jo(a3/r) aø a< r < b
0 b< r < ∞
5 Calculate magnetic field intensity H at x = 1 cm , y = 0 , z = 0 if two current filaments , 2A in
the az direction on Z axis and 2A in the –az direction at x = 15 cm, y = 0.

6 Express value of H in Cartesian component at P(0.01, 0,0) in the field of co-axial cable
where a = 3mm , b= 9mm , c= 12mm and current is 0.8A centered on the Z axis az direction
in center conductor.

EME
TE(E&C) SESSION 2011-12
TUOTURAL UNIT -III

1 Find flux passing the portion of the plane ø = π/4 define by 0.01< r < 0.05m and 0< r < 2m. A
current filament of 2.5 A is along the Z-axis in the the az direction in the free space.

2 Express value of H in Cartesian component at P(0.01, 0,0) in the field of co-axial cable
where a = 3mm , b= 9mm , c= 12mm and current is 0.8A centered on the Z axis az direction
in center conductor.

3 One amp. Flow through coaxial cable having radius a=10 cm , b = 20 cm , c = 25 cm,
find H at 1) r = 6 cm. 2) r = 11 cm . 3) r = 24 cm. 4) r = 26cm.

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