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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 $APB$, charge density$  = \rho $

Given that $L >>> a$ $L >>> b$ and $P$ is mid point of $AB$. Choose the incorrect option

  • AMagnetic fielda at point $P$ is $\frac{{{\mu _0}\omega \rho \left( {{b^2} - {a^2}} \right)}}{2}$
  • BMagnetic fielda at point $B$ is $\frac{{{\mu _0}\omega \rho \left( {{b^2} - {a^2}} \right)}}{4}$
  • CDirection of magnetic field at $A, B, P$ is same
  • DGraph of magnetic field on the axis of cylinder with distance from point $P$ is
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