Question

The potential difference across a $2H$ inductor as a function of time is shown in figure. At time $t=0$, current is zero. Current at $t=2$ second is:

• A. $1A$
• B. $3A$
• C. $4A$
• D. $5A$

Answer 1

The correct option is D $5A$

$t=0,i=0$

$t=2,i=?$

$L=2H$

$V=L\frac{dI}{dt}$$V=2\frac{dI}{dt}$

${\int }_0^{2}Vdt=2{\int }_0^{I}dI$

area of shaded portion

$\frac{1}{2}\times 2\times 10=2\times I$

$I=5A$