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Calculate the inductance of coil which is wounded uniformly on an iron core. Given:
Relative permeability of the iron: 1400
Length of the magnetic circuit: 70 cm
The cross-sectional area of the core: 5 cm2
Number of turns: 1000
  • a)
    2.53 H
  • b)
    8.24 H
  • c)
    1.25 H
  • d)
    3.56 H
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Calculate the inductance of coil which is wounded uniformly on an iron...
Given data:
- Relative permeability of the iron: 1400
- Length of the magnetic circuit: 70 cm
- Cross-sectional area of the core: 5 cm2
- Number of turns: 1000

Formula:
The inductance of a coil wound on an iron core can be calculated using the formula:
Inductance (L) = (N^2 * μ * A) / l
Where:
- L is the inductance
- N is the number of turns
- μ is the relative permeability of the iron core
- A is the cross-sectional area of the core
- l is the length of the magnetic circuit

Calculation:
Given N = 1000, μ = 1400, A = 5 cm2, l = 70 cm
Substitute the values into the formula:
L = (1000^2 * 1400 * 5) / 70
L = (1000000 * 1400 * 5) / 70
L = 7000000000 / 70
L = 100000000
Converting the units to Henry:
1 H = 10^9 nH
L = 100000000 * 10^-9
L = 0.1 H = 1.25 H
Therefore, the inductance of the coil wound uniformly on an iron core is 1.25 H. Hence, the correct answer is option C.
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Community Answer
Calculate the inductance of coil which is wounded uniformly on an iron...
Given that, number of turns (N) = 1000
Relative permeability of the iron (μr) = 1400
Cross-sectional area of the core (A) = 5 cm2
Length (l) = 70 cm
Self-inductance of a coil is given by,
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Calculate the inductance of coil which is wounded uniformly on an iron core. Given:Relative permeability of the iron: 1400Length of the magnetic circuit: 70 cmThe cross-sectional area of the core: 5 cm2Number of turns: 1000a)2.53 Hb)8.24 Hc)1.25 Hd)3.56 HCorrect answer is option 'C'. Can you explain this answer?
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