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A straight conductor of uniform cross section carries a time varying current, which varies at the rate dI//dt = I. If s is the specific charge that is carried by each charge carries of the conductor and l is the length of the condcutor, then the totalt force experienced by all the charge carries per unit length of the conductor due to their drift velocities only isA. `F = I s`B. `F = (I)/(2sqrtls)`C. `F = (I)/(s)`D. `F = (2I l)/(s)` |
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Answer» Correct Answer - C Momentum of each charge carrier moving with a drift velocity v is mv. Total number of charge carries in the sample is N = n (Al), where n is the number of charge carries per unit volume and A is area of cross section of the conductor. Total momentum is p = N(mv)=nAlmv Further, we have `upilon = I//"ne"A` or `P = nAim((I)/(meA)) = l((M)/(e))I` Since `F = (dp)/(dt)` or `F=(l)/(S) I or (F)/(l) = (I)/(s)` [ `:.` specific charge = e/m] |
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