The characteristic equation for a given circuit is given by S2 + 3S + K = 0 Find

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.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.