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Q.

A toroidal solenoid has 3000 turns and a mean radius of 10 cm. It has a soft iron core of relative permeability 2000. What is the magnitude of the magnetic field in the core when a current of 1 amp is passed through the solenoid ?

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a

0.12 T

b

0.24 T

c

1.2 T

d

12 T

answer is D.

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Detailed Solution

The magnetic field in the core is Biven by B = μni where n = number of turns per unit length of the solenoid.∴B=μ0μrni    ∵μr=μ/μ0 or B=2000×4π×10−7×30002π×0⋅1×1=12T
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