1.

A rod is moving with velocity 9 m/s perpendicular to external magnetic field of 1T and there is a conducting sphere having charge 30 C and radius R. If electric field inside rod is same as electric field on the surface of sphere and radius R = x xx 10^(5) m then find x.

Answer»


Solution :INDUCED FIELD in rod, `E = VB`
electric field on surface of sphere `= (KQ)/(R ^(2))`
`(KQ)/(R ^(2)) =-vB IMPLIESR^(2)=(kQ)/(vB) =(9xx10^(9)xx30)/(9xx1)`
`R= sqrt3xx10^(5) =1.73 xx10^(5)`


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