Which of the following statements is incorrect for a current-carrying solenoid?

  • A
    Its pattern of field lines is just like the pattern of field lines of a bar magnet.
  • B
    It is used to produce a uniform magnetic field.
  • C
    Its magnetic field does not depend on the radius of the cross-section of the frame.
  • D
    When it is freely suspended,it always stays perpendicular to the magnetic meridian.

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$A$ thick uniformly charged hollow cylinder of inner radius $a$ and outer radius $b$ rotates with constant angular speed $\omega$ about its axis $APB$,with charge density $\rho$. Given that $L \gg a$ and $L \gg b$,and $P$ is the midpoint of $AB$. Choose the incorrect option.

The expression for magnetic induction inside a solenoid of length $L$ carrying a current $I$ and having $N$ number of turns is

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