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Wire of length l, carries a steady current I. It is bent first to form a circular coil of one turn. The same wire of same length is now bent more sharply to give two loops of smaller radius the magnetic field at the centre caused by the same current is
  • a)
    one third of its initial value
  • b)
    nine times of its initial value
  • c)
    four times of its initial value
  • d)
    unaltered
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Wire of length l, carries a steady current I. It is bent first to form...
Let the radii be r1​ and r2​ respectively.
Since there are two turns of radius r2​, r1​=2r2​
Magnetic field B at the centre of  the coil of radius r1​ B1​=​μo​i/2r1​=​μo​i​/4r2
Magnetic field B at the center of the coil of radius r2​ B2​=2×​μo​i​/2r2
∴ B2/B1 =(2× μo​i/2r2​)/(μo​i /4r2​)​ ​​=4
Hence the answer is option C, four times its initial value.
 
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Wire of length l, carries a steady current I. It is bent first to form a circular coil of one turn. The same wire of same length is now bent more sharply to give two loops of smaller radius the magnetic field at the centre caused by the same current isa)one third of its initial valueb)nine times of its initial valuec)four times of its initial valued)unalteredCorrect answer is option 'C'. Can you explain this answer?
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Wire of length l, carries a steady current I. It is bent first to form a circular coil of one turn. The same wire of same length is now bent more sharply to give two loops of smaller radius the magnetic field at the centre caused by the same current isa)one third of its initial valueb)nine times of its initial valuec)four times of its initial valued)unalteredCorrect answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Wire of length l, carries a steady current I. It is bent first to form a circular coil of one turn. The same wire of same length is now bent more sharply to give two loops of smaller radius the magnetic field at the centre caused by the same current isa)one third of its initial valueb)nine times of its initial valuec)four times of its initial valued)unalteredCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Wire of length l, carries a steady current I. It is bent first to form a circular coil of one turn. The same wire of same length is now bent more sharply to give two loops of smaller radius the magnetic field at the centre caused by the same current isa)one third of its initial valueb)nine times of its initial valuec)four times of its initial valued)unalteredCorrect answer is option 'C'. Can you explain this answer?.
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