The switch is moved back to position 1. ii) Determine the energy stored in the inductor after a time of more than 5 time constants (when the circuit has reached steady state). Pos.2 500Ω Pos.1 + 220Ω 220 µF 30μH Figure Q3b 50V
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Step 1: After a long time, the inductor will act as a short circuit. Show more…
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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. Determine the transient time constant τ. [2] Determine the initial inductor current i(0+). Note the inductor constraint is i(0+)=i(0-). [2] Determine the final inductor current i(∞). [2] Find an expression for i(t) of the form i(t) = k1 + k2 e^{-t/τ} for t > 0. [2] Calculate the energy stored or supplied by the inductor over the interval t=0 to ∞. Note w(∞,0)=1/2 L (i^2(∞) - i^2(0)). State whether the inductor has supplied or stored energy. [2]
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