The voltage ?1 (?) in a network is defined by the equation ? 2?1 (?) /?? 2 + 4 ??1 (?) /?? + 5?1 (?) = 0
(a) Write down the characteristic equation of the network
(b) Determine the network’s natural frequencies s1 and s2.
(c) If the network is overdamped, or critically damped state the values of the damping term, , and the undamped natural frequency, ?0 If the network is underdamped, state the values of the damping term, , and the frequency, ??.
(d) Write down an expression for ?1 (?).
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