The current in a wire varies with time according to the relation i = `2.0A + (0.6t^(2))A//s^(2)`. How many coulomb of charge pass a cross-section of the wire in the time interval between t = 0 and t = 10s?

Explanation

To solve the problem, we need to find the total charge \( Q \) that passes through a cross-section of the wire from time \( t = 0 \) to \( t = 10 \) seconds, given the current \( i(t) = 2.0 \, \text{A} + 0.6t^2 \, \text{A/s}^2 \).

### Step-by-Step Solution:

1. **Understand the Relationship Between Current and Charge**:
The current \( i \) is defined as the rate of flow of charge, which can be expressed mathematically as:
\[
i = \frac{dq}{dt}
...