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Use this tag for circuits that only contain passive components, such as resistors, capacitors, and inductors. This includes RC, RL, LC, and RLC circuits.

0 votes
2 answers
216 views

What are the initial conditions used to find the coefficients in the current equations?

Suppose a RLC series circuit. R, L and C are in series with a battery and a switch. The switch is open. L and C are discharged. At t=0, the switch is closed and the battery (V1) feeds the circuit. I …
0 votes
1 answer
519 views

How do I find the current equations for the RLC Series Circuit?

Let's talk about a RLC series circuit. R, L and C are in series with a battery and a switch. The switch is open. L and C are discharged. At t=0, the switch is closed and the battery (V1) feeds the ci …
0 votes
1 answer
2k views

What is the meaning of current at infinite time for a series RLC circuit formula

I am reading this doc. At one point, the author says the current equation form a critically damped series RLC circuit when a step function is applied is: \$ I_L(t) = I_{\infty} + (B_1 + B_2t)e^{-\al …
1 vote
1 answer
73 views

Finding the unknowns of a current equation leads to non-sense

Suppose a series RLC circuit that is critically damped. Circuit is RLC in series with a DC voltage source \$ V_S \$ and a switch initially open. Capacitor and inductor are both discharged. at t=0 th …
0 votes
1 answer
176 views

How do I calculate the unknowns of the current equation for a RLC series circuit?

Suppose I was dealing with the following voltage equation for the RLC series circuit: \$ v(t) = Ae^{m_1t} + Be^{m_2t} + V_s \$ To know the values of A and B I would do the two initial conditions: …
1 vote
1 answer
133 views

Trying to solve a RL circuit by hand but simulator calculates a value I do not understand

I have this circuit. V3 is just a trigger to close the switch, just ignore it. The switch is open for a long time. So, the left part of the circuit is working for a long time and the inductor is fu …
1 vote
1 answer
152 views

Trying to understand the magic the author of this PDF did explaining the critically damped e...

I am reading this doc about the equations for the step function for the RLC circuit, critically damped solution. At page 16 we have these lines... But there is a magic between these lines... Ho …
1 vote
2 answers
239 views

Trying to understand why the signal was inverted on this RC step response equation

I am watching this video where the guy is deriving the equations for the step function of a series RC circuit. At some point he has the following equation: \$ \frac{dt}{RC} = \frac{dv}{v_s - v} …
0 votes
1 answer
150 views

Trying to understand the transient current equation on a RLC circuit

I am reading this doc I see this magic happening on the third line of equations... How in the name of Math, does this \$ Ae^{st} \$ appeared there? Magic?
0 votes
2 answers
232 views

Trying to understand the critically damped equations of a RLC circuit

I am trying to understand the equations of the critically damped equations of a RLC circuit here I see this part on page 16 The part I do not understand is this one: How can part of the equatio …
0 votes
2 answers
1k views

Why exactly a RLC Circuit powered by DC oscillates?

First sorry if the question is stupid... I am learning. I am trying to visualize here, without equations, what happens to a RLC circuit that makes it oscillate. Consider a RLC circuit, a switch and …
0 votes
2 answers
895 views

Simulating all transient solutions for RLC series circuits

I am reading this page that contains the transient solutions for RLC series circuits: over-damped, critically damped and under-dumped. This site presents these graphics for the 3 cases: Then I h …