Flux φ in weber linked with a closed circuit of resistance 10 Ω varies with time t according to the equation (φ = 6t2-5t+ 1). Magnitude of the induced current at t = 0.25s is

Question

Flux φ in weber linked with a closed circuit of resistance 10 Ω varies with time t according to the equation (φ = 6t2-5t+ 1). Magnitude of the induced current at t = 0.25s is (A) 1.2A (B) 0.8A (C) 0.6A (D) 0.2A

Tardigrade Admin · Accepted Answer

φ=6 t 2-5 t +1 e =( d φ/ dt )=12 t -5 at t =0.25 sec | e |=(12 / 4-5)=|3-5|=2 i = e / R =2 / 10=0.2 A

Q. Flux $ϕ$ in weber linked with a closed circuit of resistance $10 Ω$ varies with time t according to the equation $(ϕ = 6 t^{2} - 5 t + 1)$ . Magnitude of the induced current at t = 0.25s is

1.2A

0.8A

0.6A

0.2A

$ϕ = 6 t^{2} - 5 t + 1$
$e = \frac{d ϕ}{d t} = 12 t - 5$
at $t = 0.25 sec$
$∣ e ∣ = (12/4 - 5) = ∣3 - 5∣ = 2$
$i = e / R = 2/10 = 0.2 A$

Q. Flux ϕ in weber linked with a closed circuit of resistance 10Ω varies with time t according to the equation(ϕ=6t2−5t+1). Magnitude of the induced current at t = 0.25s is