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Cular Coil of Radius 2.0 Cm Has 500 Turns and Carries a Current of 1.0 A. Its Axis Makes an Angle of 30° with the Uniform Magnetic Field - Physics

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प्रश्न

A circular coil of radius 2.0 cm has 500 turns and carries a current of 1.0 A. Its axis makes an angle of 30° with the uniform magnetic field of magnitude 0.40 T that exists in the space. Find the torque acting on the coil.

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उत्तर

Given:
No. of turns of the coil, = 500
Magnetic field intensity, B = 0.40 T = 4 × 10−1 T
Radius of the coilr = 2 cm = 2 × 10−2 m
Magnitude of current, i = 1 A
Angle between the area vector and magnetic field, θ = 30°
Torque acting on the coil,
τ = niABsinθ
Here, A is the area of the coil.
τ = 500 × 1 × 3.14 × 4 × 10−4 ×4×10−1 × 1/2
  = 12.56 × 10−2
  = 0.1256 = 0.13 N-m

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Force on a Moving Charge in Uniform Magnetic and Electric Fields
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अध्याय 12: Magnetic Field - Exercises [पृष्ठ २३४]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 12 Magnetic Field
Exercises | Q 56 | पृष्ठ २३४

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