The electric current through a wire varies with time as I = I₀ + βt. 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 :
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The electric current through a wire varies with time as I = I₀ + βt. 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 :

G1 Physics · Accepted Answer

Given, I = I₀ + βt I₀ = 20 A β = 3 A/s Therefore, I = 20 + 3t dq/dt = 20 + 3t q = ∫₀²⁰ (20 + 3t) dt = [20t + 3t²/2]₀²⁰ = 400 + 600 = 1000 C