Question

please show work

3. Scherz section 2.15 (p.25): another small error- find it and fix it. w IL dl LP IVdt dt LI dt dt

Answer 1

P= W/t

P=Vi , so

$w=\int iV dt$

voltage across inductor is given by $V=L \frac{di}{dt}$

subsitute V in W, then we get

$W=\int iL \frac{di}{dt} dt$

${\color{Magenta} W=\int L* i *di}$

$W=\frac{1}{2} Li^{2}$