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IE1206 Home Problem 5 Solved


The switch has been closes for a long time. At t=0 s the switch opens. Plot I1(t) in the interval -1 µs < t < 5 µs. R1=1 k, R2=3 k, C= 0.5 nF, VA=1 V and VB=2 V. 
Problem 2

 

The switch has been closed for a long time and at t=0 s it opens.

(A)  What is the energy stored in the capacitor at t=0 s?

(B)  At what time is the energy stored in the capacitor 1 nJ?  
Problem 3 

 

The switch has been closed for a long time. At t=0 s it opens. VA=10 V, R1=1 k, R2=100 k, L=1 mH.

(A)  What is the voltage over R2 at t=0+ s?

(B)  What is the time constant  for the inductor to release its stored energy?
 

Problem 4
 

The switch has been in position A for a long time. At t=0 s the switch moves to position B. At what time is the voltage VL over the inductor equal to VA? 

R1=3 k, R2=100 , L=10 mH, I0=2 mA, VA=8 V.
Problem 5

 

Assume the capacitor is discharged at t<0 s. At t=0 s the switch closes. Draw a graph showing the voltage over the capacitor, VC(t), in the interval -2 ms < t < 2 ms. Io= 1 mA and C= 1 µF.
Problem 6


The graph shows an ac voltage (blue) and an ac current (red) as a function of time. Determine the frequency of the voltage and current. Using cos(t) as reference determine V(t)=Vocos(t+o) and I(t)=I1cos(t+1). That is determine the amplitud,  and phase angle. Finally write down their representation as complex V and complex I.  
 

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