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A circular loop of radius a is made of a single turn of thin conducting wire. The self inductance of this loop is L. If the number of turns in the loop is increased from 1 to 8, the self inductance would be :
  • a)
  • b)
    L/8
  • c)
    8L
  • d)
    64L
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A circular loop of radiusais made of a single turn of thin conducting ...
Let us consider there are n  turns of a coil having radius a and current  I. Then magnetic field at the centre of the coil is given by.
Flux of magnetic field through a coil.
Flux through n  coil
Self inductance given by relation

If number of turns in the loop is increased from 1 to 8 then, Self inductance increased by 64 time.
The correct answer is: 64L
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Most Upvoted Answer
A circular loop of radiusais made of a single turn of thin conducting ...
Let us consider there are n  turns of a coil having radius a and current  I. Then magnetic field at the centre of the coil is given by.
Flux of magnetic field through a coil.
Flux through n  coil
Self inductance given by relation

If number of turns in the loop is increased from 1 to 8 then, Self inductance increased by 64 time.
The correct answer is: 64L
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Community Answer
A circular loop of radiusais made of a single turn of thin conducting ...
This solution is totally wrong . B(Magnetic field) is not uniform in the region of circular loop , so you can't take out B out f the integration , the formulae is only applicable in the center of the loop, not in the whole region.
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A circular loop of radiusais made of a single turn of thin conducting wire. The self inductance of this loop isL. If the number of turns in the loop is increased from 1 to 8, the self inductance would be :a)b)L/8c)8Ld)64LCorrect answer is option 'D'. Can you explain this answer?
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A circular loop of radiusais made of a single turn of thin conducting wire. The self inductance of this loop isL. If the number of turns in the loop is increased from 1 to 8, the self inductance would be :a)b)L/8c)8Ld)64LCorrect answer is option 'D'. Can you explain this answer? for Physics 2025 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A circular loop of radiusais made of a single turn of thin conducting wire. The self inductance of this loop isL. If the number of turns in the loop is increased from 1 to 8, the self inductance would be :a)b)L/8c)8Ld)64LCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular loop of radiusais made of a single turn of thin conducting wire. The self inductance of this loop isL. If the number of turns in the loop is increased from 1 to 8, the self inductance would be :a)b)L/8c)8Ld)64LCorrect answer is option 'D'. Can you explain this answer?.
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