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What is the induced emf produced when the radius of one loop or wire in a 12T magnetic field changes from 2 cm to 9 cm in 3 seconds?
Assume that the plane of the loop remains parallel to the direction of the magnetic field.
  • a)
    0 V
  • b)
    0.96 V
  • c)
    0.32 V
  • d)
    2.21V
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the induced emf produced when the radius of one loop or wire i...
An emf is not induced if the plane of the coil is parallel to the lines of the magnetic field since the magnetic flux through the coil does not change when the coil shrinks.
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Most Upvoted Answer
What is the induced emf produced when the radius of one loop or wire i...
Given data:
- Magnetic field strength (B) = 12 T
- Initial radius (r1) = 2 cm = 0.02 m
- Final radius (r2) = 9 cm = 0.09 m
- Time taken (Δt) = 3 seconds

Formula for induced emf in a loop:
The induced emf (ε) in a loop is given by the formula:
ε = -ΔΦ/Δt
Where:
- ε is the induced emf
- ΔΦ is the change in magnetic flux
- Δt is the time taken for the change

Calculation of change in magnetic flux:
The magnetic flux (Φ) through a loop is given by the formula:
Φ = B * A
Where:
- B is the magnetic field strength
- A is the area of the loop
Initial magnetic flux (Φ1) = B * (π * r1^2)
Final magnetic flux (Φ2) = B * (π * r2^2)
Change in magnetic flux (ΔΦ) = Φ2 - Φ1

Calculations:
Initial magnetic flux (Φ1) = 12 * (π * 0.02^2) = 0.0075 Wb
Final magnetic flux (Φ2) = 12 * (π * 0.09^2) = 0.3053 Wb
Change in magnetic flux (ΔΦ) = 0.3053 - 0.0075 = 0.2978 Wb

Calculation of induced emf:
ε = -ΔΦ/Δt
ε = -(0.2978/3) = -0.0993 V
The negative sign indicates that the induced emf is in the opposite direction to the change in magnetic flux. However, in this case, the magnitude of the induced emf is 0.0993 V, which is approximately equal to 0 V. Therefore, the correct answer is option 'A' - 0 V.
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What is the induced emf produced when the radius of one loop or wire in a 12Tmagnetic field changes from 2 cm to 9 cm in 3 seconds?Assume that the plane of the loop remains parallel to the direction of the magnetic field.a)0 Vb)0.96 Vc)0.32 Vd)2.21VCorrect answer is option 'A'. Can you explain this answer?
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What is the induced emf produced when the radius of one loop or wire in a 12Tmagnetic field changes from 2 cm to 9 cm in 3 seconds?Assume that the plane of the loop remains parallel to the direction of the magnetic field.a)0 Vb)0.96 Vc)0.32 Vd)2.21VCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about What is the induced emf produced when the radius of one loop or wire in a 12Tmagnetic field changes from 2 cm to 9 cm in 3 seconds?Assume that the plane of the loop remains parallel to the direction of the magnetic field.a)0 Vb)0.96 Vc)0.32 Vd)2.21VCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the induced emf produced when the radius of one loop or wire in a 12Tmagnetic field changes from 2 cm to 9 cm in 3 seconds?Assume that the plane of the loop remains parallel to the direction of the magnetic field.a)0 Vb)0.96 Vc)0.32 Vd)2.21VCorrect answer is option 'A'. Can you explain this answer?.
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