Energy stored in a magnetic field , Electrical Engineering

Energy stored in a magnetic field

Consider a circuit consisting of a voltage supply,  switch,  resistor  and  a  coil  of  N turns wound on a toroid of length l, all in series.

 

208_Energy stored in magnetic field.png

With the switch open, no current flows inthe coil and therefore there is no flux produced in the core of the coil.

 

1326_Energy stored in magnetic field 1.png

 

At t=0, the switch is closed and the current builds up with time. It is not instantaneous,because the coil produces a back emf that limits the rate of rise of current

 

 

2133_Energy stored in magnetic field 3.png

 

where v = the time dependent back emf created by the coil. The instantaneous power being delivered
by the supply at time t is

vs .i=i2 R+v.i

 

986_Energy stored in magnetic field 4.png

237_Energy stored in magnetic field 5.png

 

Posted Date: 8/22/2012 6:48:23 AM | Location : United States







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