V=L di/dt
Vdt=L (di/dt) dt
∫ di=∫ 1/L v dtI=1/L ∫ v dt + i(to)
Ex. The voltage pulse applied to the 100 mH inductor shown is 0 for t< 0 and is given by the expression
v (t) = 20 t e (-10t) for t> 0. Also assume i= 0 for t≤0.
Solution:
a) The inductor current as a function of time.
Assignment:
The voltage pulse applied to the 100 mH inductor is 0 for t<0 and is given by the expression
V(t)=10te-20t for t>0 . Also assume i=0 for t≤0.
Required:
a) The inductor current as a function of time t≤0.
b) The time when voltage is maximum.
c) maximum voltage.
Ans:a)i=-50e -20t -2.5 e -20t +2.5 b) t=0.5 S
c) 0.18394 V
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