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find initial acceleration of protron
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Asked by ashutosharnold1998 | 18 Feb, 2020, 21:49: PM
answered-by-expert Expert Answer
induced emf in magnetic field region V = -dφ/dt = -d/dt ( B A ) = - A dB/dt = -A α
 
But potential difference between opposite peripheral point is gien by
 
begin mathsize 14px style V space equals space minus integral subscript negative R end subscript superscript R space E left parenthesis r right parenthesis space d r space equals space minus 2 R space E space equals space minus A alpha space space end style
Hence electric field E = Aα / (2R)
 
if e is charge of proton, force acting on proton F = eE  = e (Aα) / (2R)
 
Initial acceleration = Force / mass = e (Aα) / (2 m R)
 
Since electric field is +ve, force and acceleration are also in +ve direction , i.e., towards right
Answered by Thiyagarajan K | 19 Feb, 2020, 18:58: PM

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