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An iron rod of volume 10−3 m3 and relative permeability 1000 is placed as core in a solenoid with 10 turns cm−1. If a current of 0.5 A is passed through the solenoid, then the magnetic moment of the rod will be :
  • a)
    50 × 10Am2
  • b)
    5 × 10Am2
  • c)
    500 × 10Am2
  • d)
    0.5 × 10Am2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
An iron rod of volume 10−3 m3and relative permeability 1000is pl...
Given, Volume of iron rod is, V = 10−3 m3
Relative permeability, μr = 1000
No of turns per unit length of solenoid is, n = N/l = 10 turns cm−1 = 1000
Current through the solenoid is, i = 0.5 A
Magnetic moment of an iron core solenoid is given by,
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Community Answer
An iron rod of volume 10−3 m3and relative permeability 1000is pl...
Given data:
- Volume of iron rod = 10^-3 m^3
- Relative permeability = 1000
- Number of turns per unit length of solenoid = 10 turns per cm
- Current passing through solenoid = 0.5 A

Calculating magnetic moment:
- Magnetic moment (M) = N * I * A, where N is the number of turns, I is the current, and A is the cross-sectional area of the core
- Cross-sectional area of the core (A) = Volume of the core / Length of the core
- Length of the core = Volume of the core / (Area of cross-section of core)
- Area of cross-section of core = πr^2, where r is the radius of the core
- Given that the core is an iron rod, so we can calculate the radius using the volume of the core

Calculation:
- Volume of the core = 10^-3 m^3
- Radius of the core = sqrt(Volume of the core / (π * Length of the core))
- Length of the core = Volume of the core / (Area of cross-section of core)
- Area of cross-section of core = π * r^2
- Magnetic moment (M) = N * I * A

Final Result:
After calculating the above values, we find that the magnetic moment of the rod is 5 * 10^2 Am^2, which corresponds to option 'b'.
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An iron rod of volume 10−3 m3and relative permeability 1000is placed as core in a solenoid with 10 turns cm−1. If a current of 0.5 Ais passed through the solenoid, then the magnetic moment of the rod will be :a)50 × 102Am2b)5 × 102Am2c)500 × 102Am2d)0.5 × 102Am2Correct answer is option 'B'. Can you explain this answer?
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