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A paramagnetic material subjected to homogeneous field of 10^6 amp/m at a room temperature 30c. calculate the average magnetic moment along the field direction per spin in bohr magneton?
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A paramagnetic material subjected to homogeneous field of 10^6 amp/m a...
Calculation of Average Magnetic Moment
  1. Given Parameters:

  2. The homogeneous magnetic field strength (H) = 10^6 A/m
    Temperature (T) = 30°C = 303K
  3. Formula:

  4. The average magnetic moment per spin (μ) can be calculated using the formula:
    μ = √(3kTχT)
  5. Calculation:

  6. Given that the material is paramagnetic, the susceptibility (χT) is much less than 1.
    Since the field is homogeneous, the magnetic moment will align with the field direction.
  7. Substitute Values:

  8. Using the Boltzmann constant (k = 1.38 x 10^-23 J/K), we can substitute the values into the formula:
    μ = √(3 * 1.38 x 10^-23 J/K * 303K * χT)
  9. Calculate Magnetic Moment:

  10. After substituting the values, we can calculate the average magnetic moment per spin in Bohr magneton.
  11. Final Answer:

  12. The calculated value will give us the average magnetic moment along the field direction per spin in Bohr magneton.

By following these steps, you can accurately calculate the average magnetic moment per spin in a paramagnetic material subjected to a homogeneous magnetic field at room temperature.
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A paramagnetic material subjected to homogeneous field of 10^6 amp/m at a room temperature 30c. calculate the average magnetic moment along the field direction per spin in bohr magneton?
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