## A 60Hz voltage of 280v effective value is impressed on an inductance of 0.356H.

- 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 = VoSin2Ï€ft

The root mean square voltage, V

V = `Vo/2

Vo = V Ã— 2

280 Ã— 1.4142 = 395.98V

RESULTING VOLTAGE,

V = VoSin2Ï€ft

V = 395.8Sin2 Ã—3.142 Ã— 60 Ã—t

V = 395.8Sin377t

Io = Vo/XL

LOAD REACTANCE, XL = 2Ï€fL

XL = 2 Ã—3.142 Ã—60 Ã—0.356

XL = 134.25â„¦

Io = 395.8/134.23

Io = 2.95A

TIME EQUATION FOR CURRENT,

I = Io sin [wt â€“ Ï€/2]

= 2.95sin[377t â€“ Ï€/2]

Find the maximum energy stored in the inductance.

E = Â½ LIRAISE TO POWER 2 max

= Â½ Ã—0.356 Ã—2.95 Ã—2.95

= 1.55J