If current in a conductor linearly drops to zero from initial magnitude `i_0` in time interval `t_0` what amount of charge must have passed through the conductor ?

Explanation

To find the amount of charge that has passed through a conductor when the current linearly drops from an initial magnitude \( i_0 \) to zero over a time interval \( t_0 \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Current Variation**:
The current \( i(t) \) decreases linearly from \( i_0 \) to 0 over the time interval \( t_0 \). This can be expressed mathematically as:
\[
i(t) = i_0 - \frac{i_0}{t_0} t
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