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Question: The average radius of a toroid made on a ring of non-magnetic material is 0.1 m and it has 500 turns...

The average radius of a toroid made on a ring of non-magnetic material is 0.1 m and it has 500 turns. If it carries 0.5 ampere current, then the magnetic field produced along its circular axis inside the toroid will be

A

25×10−225 \times 10 ^ { - 2 } Tesla

B

5×10−25 \times 10 ^ { - 2 } Tesla

C

25×10−425 \times 10 ^ { - 4 } Tesla

D

5×10−45 \times 10 ^ { - 4 } Tesla

Answer

5×10−25 \times 10 ^ { - 2 } Tesla

Explanation

Solution

Magnetic field at the centre of orbit due to revolution of charge.

B=μ04π⋅2π(qv)rB = \frac { \mu _ { 0 } } { 4 \pi } \cdot \frac { 2 \pi ( q v ) } { r }

where ν = frequency of revolution of charge

So, B=μ04π×2π×(100e×1)0.8B = \frac { \mu _ { 0 } } { 4 \pi } \times \frac { 2 \pi \times ( 100 e \times 1 ) } { 0.8 } ⇒ B=10−17μ0B = 10 ^ { - 17 } \mu _ { 0 }.