Question

The charge flown through a cross-section of conductor is given by θ = 5t²- 3t coulomb. The average current through the conductor in the interval t₁ = 2s to t₂ = 4s.

Answer 1

Charge through a cross section of a conductar is given by θ = 5t² - 3 t coulomb. 

The average currenl through the conductar in the interval t₁ = 2s to t₂ = 45.

change at the given instants

θ = 5t² - 3t

At  t₁ = 25

θ₁ = 5(2)² - 6 = 14 c

At t₂ = 45

θ₂ = 5 (4)² - 12

θ₂ = 68 c

Average current 

I \(=\frac{Δ\theta}{Δt}\)

\(=\frac{68-14}{4-2}\)

\(=\frac{54}{2}\)

I = 27 ampere