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In the magnetic circuit shown below, what is the flux density produced if the relative permeability of the core material under the given condition is 1000?
  • a)
    1 T
  • b)
    3 T
  • c)
    2 T
  • d)
    4 T
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In the magnetic circuit shownbelow, what is the flux density produced ...
Concept:
Magnetic Field Strength (H): the amount of magnetizing force required to create a certain field density in certain magnetic material per unit length.
The intensity of Magnetization (I): It is induced pole strength developed per unit area inside the magnetic material.
The net Magnetic Field Density (Bnet) inside the magnetic material is due to:
  • Internal factor (I)
  • External factor (H)
∴ Bnet ∝  (H + I)
Bnet  = μ0(H + I) …. (1)
Where μ0 is absolute permeability.
Note: More external factor (H) causes more internal factor (I).
∴ I ∝  H
I = KH …. (2)
And K is the susceptibility of magnetic material.
From equation (1) and equation (2):
Bnet = μ0(H + KH)
Bnet = μ0H(1 + K) …. (3)
Dividing equation (3) by H on both side
From equation (3) and (4)
Bnet = μ0μrH
Calculation:
Given Magnetic Circuit,
N = 100
I = 5 A
L = 2πr = 2π × 5 × 10-2 m
From above concept,
 
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In the magnetic circuit shownbelow, what is the flux density produced if the relative permeability of the core material under the given condition is 1000?a)1 Tb)3 Tc)2 Td)4 TCorrect answer is option 'C'. Can you explain this answer?
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