In a current carrying long solenoid, the field produced does not depend upon
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The magnetic field at the center of solenoid is given as:
$B =\mu_0 ni$
where $n$ is number of turns per unit length $=\frac{ N }{ l }$
$i$ is the current through the solenoid.
So, the magnetic field does not depend on the radius of the solenoid.
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