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Question: A solenoid has a core of a substance with relative permeability 600. What is the magnetic permeabili...

A solenoid has a core of a substance with relative permeability 600. What is the magnetic permeability of the given substance?

A

20 π×\pi \times 10-5NA-2

B

21 π×\pi \times 10-5 N A-2

C

22 π×\pi \times 10-5 N A-2

D

24π×\pi \times 10-5 N A-2

Answer

24π×\pi \times 10-5 N A-2

Explanation

Solution

: As , μ=μrμ0\mu = \mu _ { \mathrm { r } } \mu _ { 0 }

Here, , μr=600\mu _ { r } = 600 and μ0=4π×107NA2\mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm { NA } ^ { - 2 }

\therefore Magnetic permeability.,

μ=600×4π×107=24π×105NA2\mu = 600 \times 4 \pi \times 10 ^ { - 7 } = 24 \pi \times 10 ^ { - 5 } \mathrm { NA } ^ { - 2 }