Paramagnetic sample shows a net magnetisation of $$4A/m$$ , when placed in an external magnetic field of $$0.3T$$ at a temperature of $$8K$$. When the same sample is placed in an external magnetic field of $$0.4T$$ at a temperature of $$4K$$, the magnetisation will be $$p3(A/m)$$. Find p

Question

Paramagnetic sample shows a net magnetisation of  $$4A/m$$ ,  when placed in an external magnetic field of $$0.3T$$  at a temperature of $$8K$$. When the same sample is placed in an external magnetic field of $$0.4T$$ at a temperature of  $$4K$$, the magnetisation will be $$p3(A/m)$$. Find p

Infinity Learn · Accepted Answer

As Curie’s law explains, we can deduce a formula for the relation between magnetic field induction temperature and magnetisationI ∝BT⇒$$I2I1=B2B1$$×$$T1T2$$                              Put $$I1=4A/m$$ , $$B1=0.3T$$ ,  $$T1=8K$$ $$I2=$$? ,  $$B2=0.4T$$ ,  $$T2=4K$$                                ∴$$I24=0.40.3$$×$$84$$⇒$$I2=43$$×$$2$$×$$4=323(A/m)$$

Magnetic properties of materials

Remember concepts with our Masterclasses.

Paramagnetic sample shows a net magnetisation of 4A/m , when placed in an external magnetic field of 0.3T at a temperature of 8K. When the same sample is placed in an external magnetic field of 0.4T at a temperature of 4K, the magnetisation will be $\frac{p}{3} (A / m)$ . Find $p$

Ready to Test Your Skills?

free study material

Magnetic properties of materials

Remember concepts with our Masterclasses.

Paramagnetic sample shows a net magnetisation of 4A/m , when placed in an external magnetic field of 0.3T at a temperature of 8K. When the same sample is placed in an external magnetic field of 0.4T at a temperature of 4K, the magnetisation will be p3(A/m). Find p

As Curie’s law explains, we can deduce a formula for the relation between magnetic field induction temperature and magnetisationI ∝BT⇒I2I1=B2B1×T1T2 Put I1=4A/m , B1=0.3T , T1=8K I2=? , B2=0.4T , T2=4K ∴I24=0.40.3×84⇒I2=43×2×4=323(A/m)

Ready to Test Your Skills?

free study material

Paramagnetic sample shows a net magnetisation of 4A/m , when placed in an external magnetic field of 0.3T at a temperature of 8K. When the same sample is placed in an external magnetic field of 0.4T at a temperature of 4K, the magnetisation will be $\frac{p}{3} (A / m)$ . Find $p$