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When a cylindrical sample is placed coaxially in a periodically varying magnetic field the magnetization in the sample also undergoes periodic variation. This variation is packed up by a coil placed coaxially with the sample.
For the uniform field Ha produced, the effective field H acting in the cylindrical sample will be
H = Ha-NM or H = Ha-NJ/μ0 ------------(1)
where M is magnetization, N is normalized demagnetization factor including 4π and J is the magnetic polarization defined by
B = μ0 H + J
with B = μH or μ0 (H+M) as magnetic induction. The signal corresponding to the applied field, Ha can be written as
e1=C1HaH ------------(2)
where C1 is a constant
Further the flux linked with pick coil of area AC due to sample of area A S will be
Φ = μ0 AC H + ASJ
The signal l2 induced in the pick coil is proportional to dΦ/dt. This after integration gives
l3 = C3 Φ = C3 μ0 ACH+C3ASJ ------------(3)
Taking into consideration equation 1, 2 and 3 the electronic circuit is made to trace Hysteresis loop.
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