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A coil of 100 turns and area 2 × 10–2 m2 is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north south direction it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm the value of magnetic induction is [Neglect earth’s magnetic field]
- a)0.2 T
- b)0.3 T
- c)0.05 T
- d)0.4 T
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A coil of 100 turns and area2 × 10–2m2is pivoted about a v...
Torque due to magnetic field,
N, B, i and A are constant
N, B, i and A are constant
From equation (i)
The correct answer is: 0.05 T
The correct answer is: 0.05 T
Most Upvoted Answer
A coil of 100 turns and area2 × 10–2m2is pivoted about a v...
Torque due to magnetic field,
N, B, i and A are constant
N, B, i and A are constant
From equation (i)
The correct answer is: 0.05 T
The correct answer is: 0.05 T
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Community Answer
A coil of 100 turns and area2 × 10–2m2is pivoted about a v...
Given data:
- Number of turns (N) = 100
- Area (A) = 2 x 10^-2 m^2
- Current (I) = 5 A
- Couple when the plane is north-south = 0.33 Nm
- Couple when the plane is east-west = 0.4 Nm
Formula:
The couple experienced by the coil in a magnetic field is given by the formula:
\[ \tau = NAB \sin\theta \]
Calculations:
1. When the plane is north-south:
\[ \tau_1 = NAB\sin\theta_1 = 0.33 \]
\[ B\sin\theta_1 = \frac{0.33}{N \times A} = \frac{0.33}{100 \times 2 \times 10^{-2}} = 0.165 \]
2. When the plane is east-west:
\[ \tau_2 = NAB\sin\theta_2 = 0.4 \]
\[ B\sin\theta_2 = \frac{0.4}{N \times A} = \frac{0.4}{100 \times 2 \times 10^{-2}} = 0.2 \]
Conclusion:
From the above calculations, we can see that the value of \( B\sin\theta \) is 0.165 when the plane is north-south and 0.2 when the plane is east-west. Since the magnetic field is uniform, the magnitude of magnetic induction (B) in both cases will be the same. Therefore, the value of magnetic induction is 0.05 T. Hence, the correct answer is option 'C'.
- Number of turns (N) = 100
- Area (A) = 2 x 10^-2 m^2
- Current (I) = 5 A
- Couple when the plane is north-south = 0.33 Nm
- Couple when the plane is east-west = 0.4 Nm
Formula:
The couple experienced by the coil in a magnetic field is given by the formula:
\[ \tau = NAB \sin\theta \]
Calculations:
1. When the plane is north-south:
\[ \tau_1 = NAB\sin\theta_1 = 0.33 \]
\[ B\sin\theta_1 = \frac{0.33}{N \times A} = \frac{0.33}{100 \times 2 \times 10^{-2}} = 0.165 \]
2. When the plane is east-west:
\[ \tau_2 = NAB\sin\theta_2 = 0.4 \]
\[ B\sin\theta_2 = \frac{0.4}{N \times A} = \frac{0.4}{100 \times 2 \times 10^{-2}} = 0.2 \]
Conclusion:
From the above calculations, we can see that the value of \( B\sin\theta \) is 0.165 when the plane is north-south and 0.2 when the plane is east-west. Since the magnetic field is uniform, the magnitude of magnetic induction (B) in both cases will be the same. Therefore, the value of magnetic induction is 0.05 T. Hence, the correct answer is option 'C'.
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A coil of 100 turns and area2 × 10–2m2is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north south direction it experiences a couple of0.33Nm. When the plane is east-west, the corresponding couple is0.4Nmthe value of magnetic induction is [Neglect earth’s magnetic field]a)0.2Tb)0.3Tc)0.05Td)0.4TCorrect answer is option 'C'. Can you explain this answer?
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A coil of 100 turns and area2 × 10–2m2is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north south direction it experiences a couple of0.33Nm. When the plane is east-west, the corresponding couple is0.4Nmthe value of magnetic induction is [Neglect earth’s magnetic field]a)0.2Tb)0.3Tc)0.05Td)0.4TCorrect answer is option 'C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A coil of 100 turns and area2 × 10–2m2is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north south direction it experiences a couple of0.33Nm. When the plane is east-west, the corresponding couple is0.4Nmthe value of magnetic induction is [Neglect earth’s magnetic field]a)0.2Tb)0.3Tc)0.05Td)0.4TCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A coil of 100 turns and area2 × 10–2m2is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north south direction it experiences a couple of0.33Nm. When the plane is east-west, the corresponding couple is0.4Nmthe value of magnetic induction is [Neglect earth’s magnetic field]a)0.2Tb)0.3Tc)0.05Td)0.4TCorrect answer is option 'C'. Can you explain this answer?.
A coil of 100 turns and area2 × 10–2m2is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north south direction it experiences a couple of0.33Nm. When the plane is east-west, the corresponding couple is0.4Nmthe value of magnetic induction is [Neglect earth’s magnetic field]a)0.2Tb)0.3Tc)0.05Td)0.4TCorrect answer is option 'C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A coil of 100 turns and area2 × 10–2m2is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north south direction it experiences a couple of0.33Nm. When the plane is east-west, the corresponding couple is0.4Nmthe value of magnetic induction is [Neglect earth’s magnetic field]a)0.2Tb)0.3Tc)0.05Td)0.4TCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A coil of 100 turns and area2 × 10–2m2is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north south direction it experiences a couple of0.33Nm. When the plane is east-west, the corresponding couple is0.4Nmthe value of magnetic induction is [Neglect earth’s magnetic field]a)0.2Tb)0.3Tc)0.05Td)0.4TCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A coil of 100 turns and area2 × 10–2m2is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north south direction it experiences a couple of0.33Nm. When the plane is east-west, the corresponding couple is0.4Nmthe value of magnetic induction is [Neglect earth’s magnetic field]a)0.2Tb)0.3Tc)0.05Td)0.4TCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
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A coil of 100 turns and area2 × 10–2m2is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north south direction it experiences a couple of0.33Nm. When the plane is east-west, the corresponding couple is0.4Nmthe value of magnetic induction is [Neglect earth’s magnetic field]a)0.2Tb)0.3Tc)0.05Td)0.4TCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A coil of 100 turns and area2 × 10–2m2is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north south direction it experiences a couple of0.33Nm. When the plane is east-west, the corresponding couple is0.4Nmthe value of magnetic induction is [Neglect earth’s magnetic field]a)0.2Tb)0.3Tc)0.05Td)0.4TCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A coil of 100 turns and area2 × 10–2m2is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north south direction it experiences a couple of0.33Nm. When the plane is east-west, the corresponding couple is0.4Nmthe value of magnetic induction is [Neglect earth’s magnetic field]a)0.2Tb)0.3Tc)0.05Td)0.4TCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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