A long, straight current carrying wire (thick horizontal wire) and an external magnetic field (thin diagonal lines) are nearly parallel as shown. How will the wire move in response to the magnetic field: a) it will twist to point the current out of the page b) it will be pushed into the page and travel away from the reader without twisting c) it will twist to align the current perpendicular to the magnetic field in the plane of the page d) it will twist to align the current parallel with the magnetic field e) it will be pushed out of the page and travel toward the reader without twisting
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 long, straight current carrying wire (thick horizontal wire) and an external magnetic field (thin diagonal lines) are nearly parallel as shown.
How will the wire move in response to the magnetic field:
a) it will twist to point the current out of the page
b) it will be pushed into the page and travel away from the reader without twisting
c) it will twist to align the current perpendicular to the magnetic field in the plane of the page
d) it will twist to align the current parallel with the magnetic field
e) it will be pushed out of the page and travel toward the reader without twisting
In the given figure, a current carrying conductor is placed in the external magnetic field.
To determine: the effect (direction) of magnetic field on the current carrying conductor.
To determine the effect (force) due to magnetic field on a current carrying conductor, Fleming's left hand rule is used.
In the given figure, we split the magnetic field in two components:
- one component is parallel to the direction of current, and
- other is perpendicular to the direction of current.
The parallel component of magnetic field will not produce any magnetic force on the current carrying conductor.
According to Fleming's left hand rule, the magnetic field is represented by first finger, direction of current by middle finger of left hand then direction of force will be given by left hand thumb.
We can conclude that the magnetic force will push into the page and travel away from the reader without twisting
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