using eqn. (5), calculate the magnetic field at the center of a fictitious tube. the number of turns on each coil is 130, the current is 1.0 a and the radius of the coils is 20 cm.



Answer :

The magnetic field at center of a fictitious tube is 7.68 × 10⁻¹⁰ Tesla.

A magnetic field is the area around a magnet where you can feel the effects of magnetism. We use magnetic fields as a tool to describe how magnetic forces are distributed in the surrounding space and in anything that is magnetic in nature. Magnetic fields are created by moving the charges and intrinsic magnetic moments of elementary particles.

It is denoted by B or H . The units of magnetic field is Tesla.

formula : B = μ₀ × I/ 2πr

where, B ---> magnetic field

μ₀ ---> permeability of free space

r --> distance in meters

I ---> magnitude of electric current in ampere

the value of μ₀= 4π × 10⁻⁷ T m / A

we have given that, I = 1.0 A , r = 130 × 20 /100 => r = 26 m

putting all the values in above formula we get ,

B = 4π× 10⁻⁷× 1 / 2π× 26 = 4×10⁻⁷/52

= 7.6 × 10⁻¹⁰ T

Hence, the magnetic field is 7.6 × 10⁻¹⁰ T.

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