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Question: A ring of mean radius 15 cm has 3500 turns of wire wound on a ferromagnetic core of relative permeab...

A ring of mean radius 15 cm has 3500 turns of wire wound on a ferromagnetic core of relative permeability 800. The magnetic field in the core for a magnetising current of 1.2 A is

A

2.48 T

B

3.48 T

C

4.48 T

D

5.48 T

Answer

4.48 T

Explanation

Solution

: Here,, r=15 cm=15×10−2 m\mathrm { r } = 15 \mathrm {~cm} = 15 \times 10 ^ { - 2 } \mathrm {~m}

I=1.2 A,μr=800\mathrm { I } = 1.2 \mathrm {~A} , \mu _ { \mathrm { r } } = 800

Then number of turns/length

=35002π×15×10−2=4.48 T= \frac { 3500 } { 2 \pi \times 15 \times 10 ^ { - 2 } } = 4.48 \mathrm {~T}