A toroidal core has an outer diameter of Icm, an inner diameter of 0.5cm and is made from a material with a relative permeability of 1000. Around the circular cross-section of the toroid ring 20 turns of wire are wrapped and a current of ImA passes through the wire. i) Sketch and label the magnetic circuit of the toroid ii) Calculate the magnetic flux in the toroid. Be clear in the calculation how any toroid geometry calculations are made. iii) A' separate secondary winding of 5 turns is now wound around the toroid making a transformer. If a 12V AC voltage is applied to the original set of turns determine the voltage at the output of the secondary.
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.
Step by step
Solved in 4 steps with 2 images
