why ampere circuital law cannot be used in circular closed loop although circular loop has symmetrical stucture?

Asked by nikitaayyagari | 20th Jul, 2016, 12:27: AM

Expert Answer:

Ampere's Circuital Law 
The law states that the line integral of magnetic field induction bold B with bold rightwards arrow on top around a closed path in vacuum is equal to the large mu subscript 0 times the total current I flowing along the closed path.

 
Reasons why Ampere circuital law cannot be used in a closed circular loop :
  • Ampere's Law is a simple tool for evaluating electrically induced magnetic field at a point.
  • For Ampere's Law to be applicable the magnetic field should be in a pattern which creates an Amperian Loop.
  • Amperian loop should have the magnetic field strength tangential to the loop or normal to the loop created by the magnetic field around it.
  • This loop should also have a non zero or a uniform magnetic field in order to be applicable to Amperian Circuital Law. 
  • In case of a closed circular loop, the magnetic field induced due to the current flowing across the loop does not create such an Amperian loop.
  • This is the reason why ampere circuital law cannot be used in circular closed loop although circular loop has symmetrical stucture as the conditions for creating an amperian loop pattern of the induced magnetic field is not satisfied.

Answered by Abhijeet Mishra | 5th Dec, 2017, 02:13: PM