A magnetic material obeys Curie-Weiss law χ=C/(T- T C ) . T_C). T C ) . What is χ(2 T C ) / χ ( 3 T C ) ? T_C)/χ(3T_C)? T C ) / χ ( 3 T C )?

Question

A magnetic material obeys Curie-Weiss law χ=C/(T- T C ) . T_C). T C ​ ) . What is χ(2 T C ) / χ ( 3 T C ) ? T_C)/χ(3T_C)? T C ​ ) / χ ( 3 T C ​ )?

G1 Physics · Accepted Answer

Using χ(T) = C/(T- T C ) , T_C), T C ​ ) , at T=2 T C , T_C, T C ​ , χ₁ = C/(2 T C − T C ) T_C-T_C) T C ​ − T C ​ ) = C/ T C . T_C. T C ​ . At T=3 T C , T_C, T C ​ , χ₂ = C/(3 T C − T C ) T_C-T_C) T C ​ − T C ​ ) = C/(2 T C ) . T_C). T C ​ ) . Therefore, χ₁/χ₂ = (C/ T C ) / ( C / 2 T C ) T_C)/(C/2T_C) T C ​ ) / ( C /2 T C ​ ) = 2.

A magnetic material obeys Curie-Weiss law χ=C/(T- T C ) . T_C). T C ​ ) . What is χ(2 T C ) / χ ( 3 T C ) ? T_C)/χ(3T_C)? T C ​ ) / χ ( 3 T C ​ )?

A magnetic material obeys Curie-Weiss law χ=C/(T- T C ) . T_C). T C ) . What is χ(2 T C ) / χ ( 3 T C ) ? T_C)/χ(3T_C)? T C ) / χ ( 3 T C )?