1.

A cylindrical capacitor with external radius R, internal radius R-d(dltltR ), length l and mass M hangs on an insulating cord in a region where there is a homogenous, vertical magnetic field of strength B. It can rotate freely as a whole around its vertical axis, but is constrained, so that it can not move horizontally. The capacitor is charged and there is a voltage difference Charge on capacitor is given by

Answer»

`in_(0)(2piRlV)/(d)`
`in_(0)(piRlV)/(2d)`
`in_(0)(piRlV)/(3d)`
`in_(0)(piRlV)/(4D)`

Solution :`d LTLT R`
`therefore C=in_(0)(2piRl)/(d)`
`Q=CV=(in_(0)2pirlV)/(d)`
`MR^(2) (DOMEGA)/(dt)=IBRd=BRd(dQ)/(dt)`
`impliesMR^(2) Deltaomega = BRdDeltaQ`
`impliesomega_(MAX)=(2piin_(0)VBl)/(M)`


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