The characteristic equation for a given circuit is given by S2 + 3S + K = 0 Find
ID: 1834263 • Letter: T
Question
The characteristic equation for a given circuit is given by S2 + 3S + K = 0 Find the range of values for K which the system is over damped. Show all work. Consider the characteristic equation given by S2 - 8S + 15 = 0 It is impossible for this equation to represent a real circuit consisting of a resistor, capacitor, and an inductor. Why not? For the circuit below find the value of i1 and i2 at t = 0' 0' and at infinity. i1(0) = i1(0 + ) = i1(infinity) = i2(0 - ) = i2(0 + ) = i2(infinity) = For the circuit below find the equation for V(t) for t > 0. Show all work.Explanation / Answer
S2-8S+15=0
according to the standard second order equation S2+2S+2=0, where = damping coeff. , w = angular frequency.
the above equation has real roots 3,5.
therefore the equation can be rearranged as (S-3)(S-5),
A real circuit of only capacitors, resistors and inductors cannot produce poles in the right half plane as is the case with given equation. therefore the above eqution is impossible.