ent larger than their physical size. If there are 300 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A: hat are the flux values for the left, center and the right legs of the core? hat is the flux density in each air gap? 30 ст 30 cm- 7 cm cm 0.07 cm 300 turns 0.05 cm
Ampere Circuital Law
Ampere's Law states that "for any closed loop path, the sum of the length elements times the magnetic field in the direction of the length element is equal to the permeability times the electric current enclosed in the loop.”
Current Density
To design the electrical and electronic system, the current density is an important factor. The designer current level is the factor on which the circuit performance depends and with the help of the dimensions of the conducting current the current density is then determined. For instance, despite the lower current demanded by smaller devices as integrated circuits are reduced in size, there is a type of trend in achieving the higher device number in even smaller chip areas. The current density is increased in this region at higher frequencies because the conducting region in a wire becomes confined and this is known as the skin effect. The consequences increase as the current densities become higher.
![A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5
cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5
percent larger than their physical size. If there are 300 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A:
(a) What are the flux values for the left, center and the right legs of the core?
(b) What is the flux density in each air gap?
30 cm-
30 cm
7 cm
30 cm
0.07 cm
300 turns
0.05 cm
cm
Core depth - 5 cm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1ae63ba-6142-43e0-9715-8d0bf7d7ec65%2F197f1296-045e-4d0c-9d66-082801049b69%2Fkeaq42j_processed.png&w=3840&q=75)
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