A long solenoid carrying a current produces a magnetic field $B$ along its axis. If the current is doubled…

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 $\mathrm{cm}$ is halved, the new value of the magnetic field is:
  1. $\frac{B}{2}$
  2. $B$
  3. $2 B$
  4. $4 B$

Solution

Magnetic field induction at point insides the solenoid of length $l$, having $n$ turns per unit length carrying current $i$. is given by $B=\mu_0 n i$ If $i$ is double and $n$ is halved then $B$ remains same.

Asked in: NEET 2003

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