Monday, 27 August 2018

1:38 PM

Machine generated alternative text:
• Passive sign convention applies to inductors as well. 
If v x i > O, the inductor is being charged (absorbing energy). 
If v x i < O, the inductor is discharging (supplying energy). 
• The inductor's voltage v is proportional to the rate of change of its current i, 
with inductance L as the constant of proportionality, assuming passive sign 
convention. 
di 
• Current will then be: 
1 
i(t) = 
dt 
+ i(to) 
to 
where i(to) is called the initial current or initial conditions at time to.

 

Machine generated alternative text:
• Instantaneous power delivered to the inductor: 
di 
p = vi = Li— 
dt 
• The energy stored in the magnetic field that exists around the coil and 
wires of the can be then calculated as: 
w(t) = 
t di(T) 
1 
w(t) = —L(i(t)2 — 
2 
2 
1 
If i(to) = w(t) = 
2

 

 

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