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A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then the self inductance of the coil :
  • a)
    Decreases by a factor of 9√3
  • b)
    Increases by a factor of 3
  • c)
    Decreases by a factor of 9
  • d)
    Increases by a factor of 27
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A copper wire is wound on a wooden frame, whose shape is that of an eq...
Total length L will remain constant
L = (3a) N (N = total turns) and length of winding = (d) N (d = diameter of wire)

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Most Upvoted Answer
A copper wire is wound on a wooden frame, whose shape is that of an eq...
B)Increases by a factor of 9
c)Remains the same
d)Increases by a factor of 27

The self inductance of a coil depends on the number of turns of wire, the area enclosed by the coil, and the shape of the coil. When the linear dimension of each side of the equilateral triangle is increased by a factor of 3, the area enclosed by the coil increases by a factor of 9 (since the area of an equilateral triangle is proportional to the square of its side length). Therefore, the self inductance of the coil increases by a factor of 9.

So, the correct answer is (b) Increases by a factor of 9.
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A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then the self inductance of the coil :a)Decreases by a factor of 9√3b)Increases by a factor of 3c)Decreases by a factor of 9d)Increases by a factor of 27Correct answer is option 'B'. Can you explain this answer?
Question Description
A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then the self inductance of the coil :a)Decreases by a factor of 9√3b)Increases by a factor of 3c)Decreases by a factor of 9d)Increases by a factor of 27Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then the self inductance of the coil :a)Decreases by a factor of 9√3b)Increases by a factor of 3c)Decreases by a factor of 9d)Increases by a factor of 27Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then the self inductance of the coil :a)Decreases by a factor of 9√3b)Increases by a factor of 3c)Decreases by a factor of 9d)Increases by a factor of 27Correct answer is option 'B'. Can you explain this answer?.
Solutions for A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then the self inductance of the coil :a)Decreases by a factor of 9√3b)Increases by a factor of 3c)Decreases by a factor of 9d)Increases by a factor of 27Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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