The potential difference across a 2-H inductor as a function of time is shown in Fig. At time `t = 0`, current is zero.

Area under `V_(L) - t` graph gives

Options

A. current
B. change in current
C. product of inductance and current
D. product of inductance and change in current

Answer

D

Explanation

Since `V_(L)=(Ldi)/(dt)`
`Ldi=V_(L)dt`
Integrating `Lint di = int V_(L) dt`
`L_(i_(f)-i_(i))= int_(0)^(t) V_(L)dt` = area under `V_(L)-t` graph.