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A rectangular coil of 100 turns and area root 3 cm² is placed in a uniform magnetic field of induction 1.5×10raise to -2 tesla with its plane at 30 degree to the magnetic field. If a current of 1 micro ampere is passed through the coil; the torque on the coil at that instant is about?
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A rectangular coil of 100 turns and area root 3 cm² is placed in a uni...
To calculate the torque on the rectangular coil, we can use the formula for torque (τ) on a coil in a magnetic field:
Torque Calculation
The torque on a rectangular coil is given by the formula:
τ = n * B * I * A * sin(θ)
Where:
- n = number of turns = 100
- B = magnetic field induction = 1.5 × 10^-2 T
- I = current = 1 μA = 1 × 10^-6 A
- A = area of the coil = √3 cm² = √3 × 10^-4 m² (since 1 cm² = 10^-4 m²)
- θ = angle between the magnetic field and the normal to the coil = 30 degrees
Area Conversion
- Area in square meters:
- A = √3 cm² = √3 × 10^-4 m² ≈ 0.000173 m²
Substituting Values
Now, substitute the values into the torque formula:
τ = 100 * (1.5 × 10^-2) * (1 × 10^-6) * (√3 × 10^-4) * sin(30 degrees)
Since sin(30 degrees) = 0.5:
τ = 100 * (1.5 × 10^-2) * (1 × 10^-6) * (√3 × 10^-4) * 0.5
Calculating Torque
- τ = 100 * 1.5 * 0.5 * √3 * (10^-2 * 10^-6 * 10^-4)
- τ ≈ 100 * 0.75 * 1.732 * 10^-12
- τ ≈ 130.8 × 10^-12 N·m
- τ ≈ 1.308 × 10^-10 N·m
Final Result
Thus, the torque on the coil at that instant is approximately 1.308 × 10^-10 N·m.
Torque Calculation
The torque on a rectangular coil is given by the formula:
τ = n * B * I * A * sin(θ)
Where:
- n = number of turns = 100
- B = magnetic field induction = 1.5 × 10^-2 T
- I = current = 1 μA = 1 × 10^-6 A
- A = area of the coil = √3 cm² = √3 × 10^-4 m² (since 1 cm² = 10^-4 m²)
- θ = angle between the magnetic field and the normal to the coil = 30 degrees
Area Conversion
- Area in square meters:
- A = √3 cm² = √3 × 10^-4 m² ≈ 0.000173 m²
Substituting Values
Now, substitute the values into the torque formula:
τ = 100 * (1.5 × 10^-2) * (1 × 10^-6) * (√3 × 10^-4) * sin(30 degrees)
Since sin(30 degrees) = 0.5:
τ = 100 * (1.5 × 10^-2) * (1 × 10^-6) * (√3 × 10^-4) * 0.5
Calculating Torque
- τ = 100 * 1.5 * 0.5 * √3 * (10^-2 * 10^-6 * 10^-4)
- τ ≈ 100 * 0.75 * 1.732 * 10^-12
- τ ≈ 130.8 × 10^-12 N·m
- τ ≈ 1.308 × 10^-10 N·m
Final Result
Thus, the torque on the coil at that instant is approximately 1.308 × 10^-10 N·m.
Community Answer
A rectangular coil of 100 turns and area root 3 cm² is placed in a uni...
How? can u explain plzz... my answer is 2.25 * 10 raise to minus 10
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A rectangular coil of 100 turns and area root 3 cm² is placed in a uniform magnetic field of induction 1.5×10raise to -2 tesla with its plane at 30 degree to the magnetic field. If a current of 1 micro ampere is passed through the coil; the torque on the coil at that instant is about?
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A rectangular coil of 100 turns and area root 3 cm² is placed in a uniform magnetic field of induction 1.5×10raise to -2 tesla with its plane at 30 degree to the magnetic field. If a current of 1 micro ampere is passed through the coil; the torque on the coil at that instant is about? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A rectangular coil of 100 turns and area root 3 cm² is placed in a uniform magnetic field of induction 1.5×10raise to -2 tesla with its plane at 30 degree to the magnetic field. If a current of 1 micro ampere is passed through the coil; the torque on the coil at that instant is about? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular coil of 100 turns and area root 3 cm² is placed in a uniform magnetic field of induction 1.5×10raise to -2 tesla with its plane at 30 degree to the magnetic field. If a current of 1 micro ampere is passed through the coil; the torque on the coil at that instant is about?.
A rectangular coil of 100 turns and area root 3 cm² is placed in a uniform magnetic field of induction 1.5×10raise to -2 tesla with its plane at 30 degree to the magnetic field. If a current of 1 micro ampere is passed through the coil; the torque on the coil at that instant is about? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A rectangular coil of 100 turns and area root 3 cm² is placed in a uniform magnetic field of induction 1.5×10raise to -2 tesla with its plane at 30 degree to the magnetic field. If a current of 1 micro ampere is passed through the coil; the torque on the coil at that instant is about? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular coil of 100 turns and area root 3 cm² is placed in a uniform magnetic field of induction 1.5×10raise to -2 tesla with its plane at 30 degree to the magnetic field. If a current of 1 micro ampere is passed through the coil; the torque on the coil at that instant is about?.
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