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PHYS323
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Ass. Prof. Dr. Hind S. HussainBy
Electromagnetic Field Theory II
Savart Law-Biot The
is an equation that describes the magnetic field created by a Savart Law-Biot The
its strength at various points. It carrying wire, and allows you to calculate-current
looks like this
PHYS323
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Ass. Prof. Dr. Hind S. HussainBy
carrying filamentary conductor of finite determine the field due to a straight current
length AB as in Figure
for any straight
filamentary conductor of
finite length
when the conductor is semiinfinite point A is now at point A is now at (90, 0, 0) while B is at (0, 0, ∞);
α1, = 90°, α2 = 0°,
when the conductor is infinite in length: A is at (0, 0, - ∞) while B is at (0, 0, , ∞); α1= 180°, α2 = 0°,
where al is a unit vector along the line current and ap is a unit vector along the perpendicular line from
the line current to the field point.
PHYS323
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Ass. Prof. Dr. Hind S. HussainBy
For a circular loop
By symmetry, the contributions along ap add up to zero because the radial components produced by
pairs of current element 180° apart cancel.
For solenoid of length l and radius a consists of N turns of wire carrying current
If l˃> a,
PHYS323
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Ass. Prof. Dr. Hind S. HussainBy
AMPERE'S CIRCUIT LAW Ampere's circuit law states that the line integral of the tangential component of H around a dosed path
is the same as the net current Ienc. enclosed by the path.
By applying Stoke's theorem
APPLICATIONS OF AMPERE'S LAW
A. Infinite Line Current
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Ass. Prof. Dr. Hind S. HussainBy
B. Infinite Sheet of Current
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C. Infinitely Long Coaxial Transmission Line
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Ass. Prof. Dr. Hind S. HussainBy
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Ass. Prof. Dr. Hind S. HussainBy
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Ass. Prof. Dr. Hind S. HussainBy
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