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The current in a conductor varies with time ‘t' as I=3t+4t 2 .where I in ampere and t in ssec.find the electric charge flows through the section of the conductor between t=1sec and t=3 sec

The current in a conductor varies with time ‘t' as I=3t+4t2.where I in ampere and t in ssec.find the electric charge flows through the section of the conductor between t=1sec and t=3 sec

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Grade:12

2 Answers

Adarsh
763 Points
2 years ago
Dear Deepthipani,
 
dq/dt = i = 3t+4t2 ..
=> dq= (3t+4t2)dt 
Integrate both side from t=1s to t=3s ..
After integrating we get ,i=140/3C
Hence (3) is the correct option ..
 
Regards
Adarsh( Askiitians forum expert )
Khimraj
3007 Points
2 years ago
current is given by
I = dq/dt = 3t + 4t2
\int_{0}^{q}dq = \int_{1}^{3}(3t + 4t^{2})dt
SO q = 46.67 C
Hope it clears.

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