## Write the time equation for the voltage and the resulting current.

Find the maximum energy stored in the inductance.

### Solution

F = 60Hz, V = 280v, L= 0.356H

Time equation for the resulting voltage

V = VoSin2πft

The root mean square voltage, V

V = `Vo/2

Vo = V × 2

280 × 1.4142 = 395.98V

RESULTING VOLTAGE,

V = VoSin2πft

V = 395.8Sin2 ×3.142 × 60 ×t

V = 395.8Sin377t

Io = Vo/XL

LOAD REACTANCE, XL = 2πfL

XL = 2 ×3.142 ×60 ×0.356

XL = 134.25Ω

Io = 395.8/134.23

Io = 2.95A

TIME EQUATION FOR CURRENT,

I = Io sin [wt – π/2]= 2.95sin[377t – π/2]

Find the maximum energy stored in the inductance.

E = ½ LIRAISE TO POWER 2 max

= ½ ×0.356 ×2.95 ×2.95

= 1.55J