A long solenoid of radius $1 ext{ m}$ has $100 ext{ turns per mm}$. If $1 ext{ A}$ current flows in the sol

Question

A long solenoid of radius $1	ext{ m}$ has $100	ext{ turns per mm}$. If $1	ext{ A}$ current flows in the solenoid, the magnetic field strength at the centre of the solenoid is

Accepted Answer

Magnetic field at the center of a long solenoid is $B = \mu_0 n I$. Here $n = 100	ext{ turns/mm} = 100 	imes 10^3	ext{ turns/m} = 10^5	ext{ turns/m}$. $I = 1	ext{ A}$. $B = 4\pi 	imes 10^{-7} 	imes 10^5 	imes 1 = 4\pi 	imes 10^{-2} \approx 12.56 	imes 10^{-2}	ext{ T}$.

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