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A Rowland ring of mean radius 15 cm has 3500 turns of wire wound on a ferromagnetic core of relative permeability 800. What is the magnetic field B in the core for a magnetising current of  12 A ?
  • a)
    4.48 T
  • b)
    5.48 T
  • c)
    44.8 T
  • d)
    48 T
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A Rowland ring of mean radius 15 cm has 3500 turns of wire wound on a ...
Calculation of Magnetic Field B in the Core

Given:

Mean radius of Rowland ring, r = 15 cm = 0.15 m

Number of turns of wire, N = 3500

Relative permeability of ferromagnetic core, μr = 800

Magnetising current, I = 12 A



The magnetic field B in the core of Rowland ring can be calculated using the formula:

B = (μ0 * N * I) / (2 * r)

where, μ0 is the permeability of free space

μ0 = 4π * 10^-7 Tm/A

Substituting the given values in the formula,

B = (4π * 10^-7 Tm/A * 3500 * 12 A) / (2 * 0.15 m)

B = 4.48 T



Therefore, the magnetic field B in the core of Rowland ring for a magnetising current of 12 A is 4.48 T, which is option A.
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