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.
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.