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The magnetic flux density in an air-cored coil is 10-2 Wb/mWith a cast iron core of relative permeability 100 inserted, the flux density will become
  • a)
    10-4 Wb/m2
  • b)
    104 Wb/m2
  • c)
    10-2 Wb/m2
  • d)
    1 Wb/m2
Correct answer is option 'D'. Can you explain this answer?
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The magnetic flux density in an air-cored coil is 10-2 Wb/m2With a cas...
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The magnetic flux density in an air-cored coil is 10-2 Wb/m2With a cas...
Explanation:
The magnetic flux density in an air-cored coil is given as 10^-2 Wb/m2.

Effect of inserting a cast iron core:
- When a cast iron core with a relative permeability of 100 is inserted, the magnetic flux density will increase due to the increased permeability of the core.
- The formula to calculate the new flux density with a core is: B = μ * B0, where B is the new flux density, μ is the relative permeability of the core, and B0 is the original flux density in air.

Calculation:
- Given that the original flux density in air is 10^-2 Wb/m2 and the relative permeability of cast iron is 100.
- Substituting the values in the formula, we get: B = 100 * 10^-2 = 1 Wb/m2.
Therefore, the new flux density with the cast iron core inserted will be 1 Wb/m2, which is option 'D'.
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The magnetic flux density in an air-cored coil is 10-2 Wb/m2With a cast iron core of relative permeability 100 inserted, the flux density will becomea)10-4Wb/m2b)104 Wb/m2c)10-2Wb/m2d)1 Wb/m2Correct answer is option 'D'. Can you explain this answer?
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