The electric current through a wire varies with time as I=I₀+β t, where I₀=20 ~A and β=3 ~A / s. The amount of electric charge crossed through a section of the wire in 20 ~s is:

Current Electricity: JEE Main 2024 Physics question

JEE Main 2024 · 29 Jan, Morning shift · Q6405

JEE Main 202429 Jan, Morning shiftPhysicsMediumCurrent Electricity150× since 2002

The electric current through a wire varies with time as

I=I_0+\beta t

, where

I_0=20 \mathrm{~A}

and

\beta=3 \mathrm{~A} / \mathrm{s}

. The amount of electric charge crossed through a section of the wire in

20 \mathrm{~s}

is :