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Q. The charge flowing in a conductor changes with time as Q(t)=αtβt2+γ3. Where α,β and γ are constants. Minimum value of current is :

JEE MainJEE Main 2023Current Electricity

Solution:

Q=(αtβt2+γt3)
i=dQdt=(α2βt+3γt2)
didt=(3γt2β)=0
t=β3γ
i=(α2βt+3γt2)=(αβ23γ)