If charge through a cross-section of a conductor at timetis q=`2t^(2) +3t+1`. Find the current at t = 2s.

Explanation

To solve the problem of finding the current at \( t = 2 \) seconds when the charge \( q \) through a cross-section of a conductor is given by the equation \( q = 2t^2 + 3t + 1 \), we can follow these steps:

### Step 1: Understand the relationship between charge and current
Current \( I \) is defined as the rate of flow of charge, which can be expressed mathematically as:
\[ I = \frac{dq}{dt} \]
where \( dq \) is the change in charge and \( dt \) is the change in time.
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