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A sphere of radius R, uniformly charged ...

A sphere of radius R, uniformly charged with the surface charge density `sigma` rotates around the axis passing through its centre at an angular velocity. (a) Find the magnetic induction at the centre of the rotating sphere. (b) Also, find its magnetic moment.

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` mu_0 omega sigmaR|cos theta - (cos^3theta)/(3)|_(0)^(pi//2) = 2/3mu_0sigmaR`
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