The electric current through a wire varies with time as \( I = I_0 + \beta t \), where \( I_0 = 20 \, \text{A} \) and \( \beta = 3 \, \text{A/s} \). The amount of electric charge crossed through a section of the wire in \( 20 \, \text{s} \) is:
\( 80 \, \text{C} \)
\( 800 \, \text{C} \)
\( 1000 \, \text{C} \)
\( 1600 \, \text{C} \)
