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Physics Current Electricity JEE Main 2025 MCQ (Single Correct)

Current passing through a wire as function of time is given as . The charge that will flow through the wire from to is

A
0.02 C
B
0.07 C
C
0.06 C
D
0.04 C

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Text Solution

Verified by Experts
The correct answer is:
D

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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