Q. 43.8( 5 Votes )

The current through a wire depends on time as

i = i0 + αt,

Where i0 = 10 A and α = 4 As–1. Find the charge crossed through a section of the wire in 10 seconds.

Answer :

300C

Given,


The expression of current through the wire is


i = i0 + αt


where i0=10A, time for which current passes, t= 10s, and a=4 As–1


Formula Used:


For a given current i, the charge q is expressed as



Solution,


For the given expression of current, charge q is,



Or,



On integration,



By substituting the given values,




Hence, the charge crossed through a section of the wire in 10 seconds is 300C.


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