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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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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? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about 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? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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