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Home / Doubts and Solutions/NEET/Magnetic Effect Of Current And Magnetism

Please explain it too.

Asked by Arushi Juyal 13th December 2017, 7:13 AM
Answered by Expert
Answer:
Let us consider the electric charge is accelerated through a distance s under a potential difference V.
 
hence electric force acted on the charge is F = qE = q(V/s).
acceleration acquired by the charge is (F/m) = (q/m)(V/s).
 
if the charge started with zero velocity, after travelling a distance s and entering into the magnetic field with speed v = 2 (q/m)(V/s)×s = (2qV)/m
 
If radius of circular path travelled by the charge is d/2 (given), then we can write
begin mathsize 12px style q B v space equals space fraction numerator m v squared over denominator open parentheses begin display style bevelled d over 2 end style close parentheses end fraction space equals space fraction numerator 2 m v squared over denominator d end fraction a f t e r space s u b s t i t u t i n g space f o r space v squared space comma space w e space g e t space q B v space equals space fraction numerator 2 m over denominator d end fraction cross times fraction numerator 2 q V over denominator m end fraction space equals space fraction numerator 4 q V over denominator d end fraction s q u a r i n g space b o t h space s i d e s space q squared B squared v squared space equals space fraction numerator 16 q squared V squared over denominator d squared end fraction a g a i n space s u b s t i t u e space f o r space v squared space comma space w e space g e t space q squared B squared fraction numerator 2 q V over denominator m end fraction space equals space fraction numerator 16 q squared V squared over denominator d squared end fraction a f t e r space s i m p l i f y i n g space fraction numerator B squared q over denominator m end fraction space equals space fraction numerator 8 V over denominator d squared end fraction h e n c e space m space equals space fraction numerator q B squared d squared over denominator 8 V end fraction end style
Answered by Expert 13th December 2017, 5:17 PM
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