the current through an element is i = 2t^2 - 1 Amps. if that element is a 4H inductor, what is the energy delivered to it from time t=1 to t=3.
energy in an inductor is dw = Li di
The Attempt at a Solution
i = 2t^2 - 1
di = 4t dt
w = L integral[ (2t^2 - 1)(4t) dt ] from 1 to 3 seconds
i just want to confirm it with someone if i did it right or not. i felt like i did. thanks.