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Consider the situation shown in fig. The resistanceless wire AB is slid on the fixed rails with a constant velocity. If the wire AB is replaced by a resistanceless semicircular wire, the magnitude of the induced current will
  • a)
    increase
  • b)
    remain the same
  • c)
    decrease
  • d)
    increase or decrease depending on whether the semicircle bulges towards the resistance or away from it
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the situation shown in fig. The resistanceless wire AB is sli...
Rate of change of area with remain same even if wire is replaced by semi-circular wire, 
∴ induced current will be same as earlier one as I = (e/R) & e i.e. induced emf is function of area because
e = – N (dɸ/dt) = – N (d/dt) (ABcoswt).
 
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Most Upvoted Answer
Consider the situation shown in fig. The resistanceless wire AB is sli...
Rate of change of area with remain same even if wire is replaced by semi-circular wire, 
∴ induced current will be same as earlier one as I = (e/R) & e i.e. induced emf is function of area because
e = – N (dɸ/dt) = – N (d/dt) (ABcoswt).
 
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Community Answer
Consider the situation shown in fig. The resistanceless wire AB is sli...
As we know I = B L V. But L would be a vector quantity here(If you have doubt why L would be vector quantity, see the derivation of induced current). So we have to take L effective. But L effective here will be diameter of the semicircle as it is perpendicular to both B and V vectors. As the diameter of the circle is same as the length of the wire we used first So there will be no change in the equation of induced current. So it remains same.
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Consider the situation shown in fig. The resistanceless wire AB is slid on the fixed rails with a constant velocity. If the wire AB is replaced by a resistanceless semicircular wire, the magnitude of the induced current willa)increaseb)remain the samec)decreased)increase or decrease depending on whether the semicircle bulges towards the resistance or away from itCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Consider the situation shown in fig. The resistanceless wire AB is slid on the fixed rails with a constant velocity. If the wire AB is replaced by a resistanceless semicircular wire, the magnitude of the induced current willa)increaseb)remain the samec)decreased)increase or decrease depending on whether the semicircle bulges towards the resistance or away from itCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the situation shown in fig. The resistanceless wire AB is slid on the fixed rails with a constant velocity. If the wire AB is replaced by a resistanceless semicircular wire, the magnitude of the induced current willa)increaseb)remain the samec)decreased)increase or decrease depending on whether the semicircle bulges towards the resistance or away from itCorrect answer is option 'B'. Can you explain this answer?.
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