The magnetic flux ϕ (in weber) linked with a coil of resistance 10Ω varies with time t (in second) as ϕ=8t2−4t+1. The current induced in the coil at t = 0.1 sec is
0.24 A
E.m.f. induced, ϵ=−dϕdt=−ddt(8t2−4t+1)=−[(2×8)t−4]=[16t−4]
Here, t = 0. 1s ∴ ϵ=−[16×0.1−4]=4−1.6=2.4V Current induced I=ϵR=2.410=0.24a