Figure shows a solenoid current of I- ampere Its area is 'A' and number of turns n. a. What is the flux density of the solenoid field inside ? b. If magnetic material in the form of a rod of area 'a' (a lt lt A) is inserted into the solenoid, what is the magnetising field strength ? c. Find the total flux density inside the specimen.

Figure shows a solenoid current of I- ampere Its area is 'A' and nu

1.	Figure shows a solenoid current of I- ampere Its area is 'A' and number of turns n. a. What is the flux density of the solenoid field inside ? b. If magnetic material in the form of a rod of area 'a' (a lt lt A) is inserted into the solenoid, what is the magnetising field strength ? c. Find the total flux density inside the specimen.
Answer» Solution :a. `B_0=mu_0nI` (taking n number ber turns/unit length ) b. H = nI c. `B=B_0+B_m` TOTAL flux density B. Total flux density free space `=B_0` `B_m` - induction due to magnetisation of material. d. Susceptibility , `X_m=I/H` `muH=mu_0H+mu_0I "":.mu=mu(I+I/H)=mu_0(I+X_m)` c. `B=B_0+B_m` Total flux density B. Total flux density free space `B_0` `B_m` - induction due to magnetisation of material . d. Susceptibility ,`X_m=I/H` `muH=mu_0H+mu_0I"":.mu=mu_0(1+I/H)=mu_0(I+X_m)` LET `mu_r` be the relative permeability , then `mu_rmu_0=mu_0(I+X)"":.mu_r=(I+X)` e. Diamagnetic `-1lexlt0,0lemu_rlt1,multmu_0` Paramagnetic `0ltxlt,mu_rgt1,mugtmu_0` Ferromagnetic `X gtgt1,mu_rgtgt1,mugtgtmu_0` Examples : diamagnetic - Bismuth , lead , gold , mercury , SILVER etc. Paramagnetic - Aluminium , chromium , oxygen etc. Ferromagnetic - Aluminium , chromium, oxygen etc.

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