A coil has an inductance of 5 H and a resistance of 20 Ω. If a DC voltage of 100 V is applied to the coil, find the energy stored in the coil when a steady maximum current has b…

Question

asked May 20, 2020 178k views

1 Answer

Naviram · Answer 1 · 2020-05-24T12:15:48+0000

Answer:62.5 J

Step-by-step explanation:

Given

Inductance(L)=5 H

resistance(R)
$=20 \Omega$

Voltage(V)=100 V

Current=(100)/(20)=5 A

Current in L-R circuit is given by

$I=I_0\left [ 1-e^{-(Rt)/(L)}\right ]$

and Power=i^2R+Li\frac{di}{dt}[/tex]

For Steady state i.e. at
$t=\infty$

I=I_0

Energy Stored is
E=(Li^2)/(2)

E=(5* 5^2)/(2)=62.5 J