Current passing through a wire as function of time is given as
. The charge that will flow through the wire from
to
is
Text Solution
Verified by ExpertsD
To find the total charge q that flows through the wire from
to
, we can integrate the current function
over this interval.
The formula for the charge q flowing through the wire is given by the integral of the current with respect to time:

We integrate the function from
to
:

To solve this, first find the antiderivative:

Calculate the expression at the upper and lower bounds:

Plug in the values:
For
:

For
:

Subtract the result at
from the result at
:

Therefore, the charge that flows through the wire from
to
is 0.04 C.
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