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Calculate the reluctance of a magnetic coil which is wounded uniformly on an iron core provided that the relative permeability of the iron is 1400. Also, the length of the magnetic circuit is 70 cm and the cross-sectional area of the core is 5 cm2.
  • a)
    3.6 × 105 AT/Wb
  • b)
    7.9 × 105 AT/Wb
  • c)
    7.9 × 108 AT/Wb
  • d)
    4.6 × 108 AT/Wb
Correct answer is option 'B'. Can you explain this answer?
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Calculate the reluctance of a magnetic coil which is wounded uniformly...
Reluctance of a magnetic coil is given by,
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Calculate the reluctance of a magnetic coil which is wounded uniformly...
The reluctance (R) of a magnetic coil wound uniformly on an iron core can be calculated using the formula:

R = (l / (μ0 * μr * A))

where:
R = reluctance
l = length of the magnetic circuit (in meters)
μ0 = permeability of free space (4π * 10^-7 H/m)
μr = relative permeability of the iron
A = cross-sectional area of the core (in square meters)

First, we need to convert the length of the magnetic circuit from centimeters to meters:

l = 70 cm = 0.7 m

Next, we need to convert the cross-sectional area of the core from square centimeters to square meters:

A = 5 cm^2 = 5 * 10^-4 m^2

Now we can calculate the reluctance:

R = (0.7 / (4π * 10^-7 * 1400 * 5 * 10^-4))

R = (0.7 / (4π * 10^-7 * 1400 * 5 * 10^-4))

R ≈ 3.6 H^-1

Therefore, the reluctance of the magnetic coil is approximately 3.6 H^-1.
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Calculate the reluctance of a magnetic coil which is wounded uniformly on an iron core provided that the relative permeability of the iron is 1400. Also, the length of the magnetic circuit is 70 cm and the cross-sectional area of the core is 5 cm2.a)3.6 × 105AT/Wbb)7.9 × 105AT/Wbc)7.9 × 108AT/Wbd)4.6 × 108AT/WbCorrect answer is option 'B'. Can you explain this answer?
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