A current through a wire depends on time as i = α ₀t + β t² where α ₀ = 20 A/s and β = 8 As⁻². Find the charge crossed through a section of the wire in 15 s.

Current Electricity: JEE Main 2021 Physics question

JEE Main 2021 · 24 Feb, Morning shift · Q6398

JEE Main 202124 Feb, Morning shiftPhysicsMediumCurrent Electricity150× since 2002

A current through a wire depends on time as i =

\alpha

₀t +

\beta

t² where

\alpha

₀ = 20 A/s and

\beta

= 8 As^

-

2. Find the charge crossed through a section of the wire in 15 s.