In the following figure, the switch has been in position "a" for a long time. It moved to position "b" at t= 0, 1/3 F 0.25 H = 0 a + i (t) v (t) 2A 3 2 (i) Draw a steady state circuit before the switch is moved from position "a" to position "b". Determine i(0-), ¿(0*), v(0-), and v(0*). (ii) (iii) Draw the circuit for t> 0. (iv) Obtain the characteristic equation and calculate the roots of the characteristic equation.

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In the following figure, the switch has been in position "a" for a long time. It
moved to position “b" at t = 0,
1/3 F
t = 0
a
0.25 H
i (í)
v (t)
오b
2A
3 2
(i)
Draw a steady state circuit before the switch is moved from position
"a" to position “b".
Determine i(0-), ¿(0*), v(0~), and
v(0*).
(ii)
(iii)
Draw the circuit for t> 0.
(iv)
Obtain the characteristic equation and calculate the roots of the
characteristic equation.
Determine what type of damping (overdamped, underdamped or
critically damped) is exhibited by the circuit.
(v)
(vi)
Use the differential equation approach to determine i(t) for t>0.
(vii) Determine the voltage across the capacitor, v(t) for t > 0.
Transcribed Image Text:In the following figure, the switch has been in position "a" for a long time. It moved to position “b" at t = 0, 1/3 F t = 0 a 0.25 H i (í) v (t) 오b 2A 3 2 (i) Draw a steady state circuit before the switch is moved from position "a" to position “b". Determine i(0-), ¿(0*), v(0~), and v(0*). (ii) (iii) Draw the circuit for t> 0. (iv) Obtain the characteristic equation and calculate the roots of the characteristic equation. Determine what type of damping (overdamped, underdamped or critically damped) is exhibited by the circuit. (v) (vi) Use the differential equation approach to determine i(t) for t>0. (vii) Determine the voltage across the capacitor, v(t) for t > 0.
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