EKT 241/4: ELECTROMAGNETIC THEORY. UNIVERSITI MALAYSIA PERLIS. CHAPTER 4 – MAGNETOSTATICS. PREPARED BY: NORDIANA MOHAMAD SAAID firstname.lastname@example.org. Chapter Outline. Maxwell’s Equations Magnetic Forces and Torques The total electromagnetic force, known as Lorentz force Biot- Savart’s law
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UNIVERSITI MALAYSIA PERLIS
CHAPTER 4 – MAGNETOSTATICS
PREPARED BY: NORDIANA MOHAMAD SAAID
where B = magnetic flux density (Cm/s or Tesla T)
The semicircular conductor shown carries a current I. The closed circuit is exposed to a uniform magnetic field . Determine (a) the magnetic force F1 on the straight section of the wire and (b) the force F2 on the curved section.
T = d× F (N·m)
Biot–Savart’s lawstates that:
dH = differential magnetic field dI = differential current element
Determine the magnetic field at the apex O of the pie-shaped loop as shown. Ignore the contributions to the field due to the current in the small arcs near O.
where F’1 = -F’2 (attract each other with equal force)
Using Ampere’s law:
Integrating and then re-arrange the equation in terms of Hφ:
Hence, the magnetic field vector, H:
Note: this equation is true for an infinite length of conductor
An infinite length coaxial cable with inner conductor radius of 0.01m and outer conductor radius of 0.05m carrying a current of 2.5A exists along the z axis in the +azdirection.
Find the flux passing through the region between two conductors with height of 2 m in free space.
The relation between B and H is:
To find magnetic flux crossing the region, we use:
where dS is in the aφ direction.
where = magnetic susceptibility (dimensionless)
and relative permeability is defined as
=total number of turns over the length l