Question 2 As shown in the figure, a wire is bent into the shape of a square, 20 cm by 20 cm. 20 cm X X X X XBX 20 cm A. If the magnitude of the magnetic field within the loop is decreased from 1.50 T to 0.50 T in a time interval of 63 ms. Find the induced voltage and polarity across the terminals a-b as governed by Faraday's and Lenz's law. B. If the magnitude of the magnetic field is now constant at 0.5 T, find the increase in width so that 200 mV across the terminals a-b is generated if this change takes place in 50 ms. C. Find the magnitude and direction of the induced current through a 10 ohm resistor when it is placed across terminals a-b for the induced voltages found in parts A. and B.
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.
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