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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.
. Consider two wires of length 1m carrying currents i1 = 2A and i2 = 4A with direction
indicated in the following figure. So answer what is asked.
(a) What is the resultant magnetic field strength at point P in the figure?
(b) Determine the distance d for the current cable i1 from a point Q where the field strength
resulting magnetic field is zero.
(c) What would happen to the magnetic field strength if the current i1 were 4A?
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