The correct option (a) [{imaxτ}/e]
Explanation:
For inductor resistor circuit, I = IO(1 – e–(t/τ))
as change flowing = Q = ∫I ∙ dt,
Hence
Q = τ∫O IO(1 – e–(t/τ)) dt
= IO [t – {[e–(t/τ)] / [– (1/τ)]}]τO
= IO [(τ – o) + τ (e–(t/τ) – e°)]
= IO [τ – τe–1 – τ]
= IO τe–1
= [{IO τ} /{e}]
IO is the maximum current hence IO = Imax
∴ Q = [{Imax ∙ τ}/ {e}]
