TS EAMCET · Physics · Alternating Current

A solenoid has a core of material with relative permeability $501 .$ The windings of the solenoid are insulated from the core and carry a current of $2.5 A .$ If the number of turns are $900$ per metre. The magnetization in $A m^{- 1}$ is

A $1.125 \times 10^{6}$
B $2.8 \times 10^{6}$
C $2.25 \times 10^{6}$
D $1.69 \times 10^{6}$

Verified Solution

Answer & Solution

Correct Answer

(A) $1.125 \times 10^{6}$

Step-by-step Solution

Detailed explanation

The relation between magnetization and strength of the magnetic intensity, is H=Bχ, now use the formula of the magnetic intensity, due to solenoid, B=nI and the relation between χ=μr-1,…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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A solenoid has a core of material with relative permeability 501. The windings of the solenoid are insulated from the core and carry a current of 2.5 A. If the number of turns are 900 per metre. The magnetization in A m-1 is

Step-by-step Solution

A solenoid has a core of material with relative permeability $501 .$ The windings of the solenoid are insulated from the core and carry a current of $2.5 A .$ If the number of turns are $900$ per metre. The magnetization in $A m^{- 1}$ is