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# The current in a wire is defined as the derivative of the charge: $I(t) = Q'(t)$. (See Example 3.7.3.) What does $\displaystyle \int^b_a I(t) \, dt$ represent?

## The amount of charge (number of electrons) that pass through an intersection of the wire from time a to time b.

Integrals

Integration

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remember, in this context, I of tea is equivalent to Q prime of teeth, and we know the integral from A to B of I of T D T is equivalent to being to grow from A to B of Q prime of T D T, which is equivalent to queue of B minus. Q of A. That's the fundamental theme of calculus. So what? This means that this represents the change in amount of the charge from time of a two time of B, so the amount of charge number electrons that pastor intersection of the wire from time to time be.

Integrals

Integration

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