A disc of radius \( R \) rotates with constant angular velocity \( \omega \) about its own axis....

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A disc of radius \( R \) rotates with constant angular velocity \( \omega \) about its own axis. Surface charge density of this disc varies as \( \sigma=\alpha r^{2} \), where \( r \) is the distance from the centre of disc. Determine the magnetic field intensity at the centre of disc.
(a) \( \mu_{0} \alpha \omega R^{3} \)
(b) \( \frac{\mu_{0} \alpha \omega R^{3}}{6} \)
(c) \( \frac{\mu_{0} \alpha \omega R^{3}}{8} \)
(d) \( \frac{\mu_{0} \alpha \omega R^{3}}{3} \)
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