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Question

The solenoid has a core with a material of relative permeability of 500. The windings of the solenoid are insulated from the core and carry a current of 1A. If the number of turns is 500 per meter, then magnetisation is?


A

2.5×103A/m

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B

2.5×105A/m

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C

2.0×103A/m

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D

2.0×105A/m

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Solution

The correct option is B

2.5×105A/m


Step 1: Given

Relative permeability of solenoid's core, μr=500.
Current in the solenoid, I=1A.
Number of turns in the solenoid, 500m-1

Step 2: Formulas used

Magnetic intensity,
H=nI

Magnetisation,
M=χH
where χ is the magnetic susceptibility of the material.

The relationship between relative permeability and magnetic susceptibility is,
μr=χ+1χ=μr-1

Step 3: Calculate Magnetic intensity

Magnetic intensity is,
H=n·I=500×1=500Am-1

So, magnetic intensity, H=500A/m.

Step 4: Calculate magnetisation

We have,
M=χH=μr-1H=500-1500=2.495×1052.5×105A/m

Therefore, the magnetisation of the solenoid is 2.5×105A/m.


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