Question

The circuit in Figure 1 is at steady state (the switch is open for all of t<0) and then the switch is closed at time $t = 0$. a) Determine the transient time constant $ au$. [2] b) Determine the initial inductor current $i(0+)$. Note the inductor constraint is $i(0+)=i(0-)$. [2] c) Determine the final inductor current $i(infty)$. [2] d) Find an expression for $i(t)$ of the form $i(t) = k_1 + k_2e^{-t/ au}$, for $t>0$. [2] e) Calculate the energy stored or supplied by the inductor over the interval $t=0$ to $infty$. Note $w(infty,0)=1/2L(i^2(infty) - i^2(0))$. State whether the inductor has supplied or stored energy.[2]

          The circuit in Figure 1 is at steady state (the switch is open for all of t<0) and then the switch is
closed at time $t = 0$.
a) Determine the transient time constant $	au$. [2]
b) Determine the initial inductor current $i(0+)$. Note the inductor constraint is $i(0+)=i(0-)$.
[2]
c) Determine the final inductor current $i(infty)$. [2]
d) Find an expression for $i(t)$ of the form $i(t) = k_1 + k_2e^{-t/	au}$, for $t>0$. [2]
e) Calculate the energy stored or supplied by the inductor over the interval $t=0$ to $infty$. Note
$w(infty,0)=1/2L(i^2(infty) - i^2(0))$. State whether the inductor has supplied or stored energy.[2]

The circuit in Figure 1 is at steady state (the switch is open for all of t<0) and then the switch is
closed at time t = 0.
a) Determine the transient time constant au. [2]
b) Determine the initial inductor current i(0+). Note the inductor constraint is i(0+)=i(0-).
[2]
c) Determine the final inductor current i(infty). [2]
d) Find an expression for i(t) of the form i(t) = k1 + k2e^-t/ au, for t>0. [2]
e) Calculate the energy stored or supplied by the inductor over the interval t=0 to infty. Note
w(infty,0)=1/2L(i^2(infty) - i^2(0)). State whether the inductor has supplied or stored energy.[2]

Added by Jonathan P.

Question

Please give Ace some feedback