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Find the ratio of magnetic field magnitudes at a distance 10 m along the axis and at 60° from the axis, from the centre of a coil of radius 1 cm, carrying a current 1 amp.?
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Calculating the Ratio of Magnetic Field Magnitudes
Given Data:
- Distance along the axis (r1) = 10 m
- Distance at an angle of 60° from the axis (r2) = 10 m
- Radius of the coil (R) = 1 cm = 0.01 m
- Current flowing through the coil (I) = 1 A
Formula for Magnetic Field at the Axis of a Circular Coil:
- B_axis = (μ₀ * I * R^2) / (2 * (R^2 + r^2)^(3/2))
Calculating the Magnetic Field at 10 m along the Axis:
- B_axis_10m = (4π * 10^(-7) * 1 * (0.01)^2) / (2 * ((0.01)^2 + (10)^2)^(3/2))
Formula for Magnetic Field at an Angle from the Axis of a Circular Coil:
- B_angle = (μ₀ * I * R^2 * cos(θ)) / (2 * (R^2 + r^2)^(3/2))
Calculating the Magnetic Field at 60° from the Axis:
- B_angle_60° = (4π * 10^(-7) * 1 * (0.01)^2 * cos(60°)) / (2 * ((0.01)^2 + (10)^2)^(3/2))
Calculating the Ratio of Magnetic Field Magnitudes:
- Ratio = B_angle_60° / B_axis_10m
Calculating the Final Result:
- Substitute the values to find the ratio of magnetic field magnitudes at a distance of 10 m along the axis and at 60° from the axis from the centre of the coil.
By following these calculations, you can determine the ratio of magnetic field magnitudes at the specified distances from the centre of the coil.
Given Data:
- Distance along the axis (r1) = 10 m
- Distance at an angle of 60° from the axis (r2) = 10 m
- Radius of the coil (R) = 1 cm = 0.01 m
- Current flowing through the coil (I) = 1 A
Formula for Magnetic Field at the Axis of a Circular Coil:
- B_axis = (μ₀ * I * R^2) / (2 * (R^2 + r^2)^(3/2))
Calculating the Magnetic Field at 10 m along the Axis:
- B_axis_10m = (4π * 10^(-7) * 1 * (0.01)^2) / (2 * ((0.01)^2 + (10)^2)^(3/2))
Formula for Magnetic Field at an Angle from the Axis of a Circular Coil:
- B_angle = (μ₀ * I * R^2 * cos(θ)) / (2 * (R^2 + r^2)^(3/2))
Calculating the Magnetic Field at 60° from the Axis:
- B_angle_60° = (4π * 10^(-7) * 1 * (0.01)^2 * cos(60°)) / (2 * ((0.01)^2 + (10)^2)^(3/2))
Calculating the Ratio of Magnetic Field Magnitudes:
- Ratio = B_angle_60° / B_axis_10m
Calculating the Final Result:
- Substitute the values to find the ratio of magnetic field magnitudes at a distance of 10 m along the axis and at 60° from the axis from the centre of the coil.
By following these calculations, you can determine the ratio of magnetic field magnitudes at the specified distances from the centre of the coil.
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Find the ratio of magnetic field magnitudes at a distance 10 m along the axis and at 60° from the axis, from the centre of a coil of radius 1 cm, carrying a current 1 amp.?
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Find the ratio of magnetic field magnitudes at a distance 10 m along the axis and at 60° from the axis, from the centre of a coil of radius 1 cm, carrying a current 1 amp.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the ratio of magnetic field magnitudes at a distance 10 m along the axis and at 60° from the axis, from the centre of a coil of radius 1 cm, carrying a current 1 amp.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the ratio of magnetic field magnitudes at a distance 10 m along the axis and at 60° from the axis, from the centre of a coil of radius 1 cm, carrying a current 1 amp.?.
Find the ratio of magnetic field magnitudes at a distance 10 m along the axis and at 60° from the axis, from the centre of a coil of radius 1 cm, carrying a current 1 amp.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the ratio of magnetic field magnitudes at a distance 10 m along the axis and at 60° from the axis, from the centre of a coil of radius 1 cm, carrying a current 1 amp.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the ratio of magnetic field magnitudes at a distance 10 m along the axis and at 60° from the axis, from the centre of a coil of radius 1 cm, carrying a current 1 amp.?.
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