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Q. A long solenoid carrying a current produces a magnetic field $B$ along its axis. If the current is doubled and the number of turns per $cm$ is halved, the new value of magnetic field will be equal to

JEE MainJEE Main 2022Magnetism and Matter

Solution:

$B _{1}=\mu_{0} nI$
$B _{2}=\mu_{0}\left(\frac{ n }{2}\right)(2 I )$
$\Rightarrow B _{1}= B _{2}$