Contents
What are the conditions for series RLC circuit?
Series Resonance The resonance of a series RLC circuit occurs when the inductive and capacitive reactances are equal in magnitude but cancel each other because they are 180 degrees apart in phase. The sharp minimum in impedance which occurs is useful in tuning applications.
What is the initial condition of resistor?
INITIAL CONDITIONS • Initial condition focuses solely on the current and voltages of energy storing elements (inductor and capacitor) as they will determine the circuit behavior at t>0. • PAST HISTORY OF THE CIRCUIT WILL SHOW UP AS THE CAPACITOR VOLTAGES AND INDUCTOR CURRENTS.
What is 2nd order circuit?
A second-order circuit is characterized by a second-order differential equation. • It consists of resistors and the equivalent of two energy storage elements.
How does an RLC series circuit work?
An RLC circuit is an electrical circuit consisting of a resistor (R), an inductor (L), and a capacitor (C), connected in series or in parallel. Introducing the resistor increases the decay of these oscillations, which is also known as damping. The resistor also reduces the peak resonant frequency.
What are the initial conditions of a RLC circuit?
As you would expect, the initial conditions are that C1 is charged to 10V, and I (L1)=0. After the switch closes, the simulation shows a classic RLC response where the transient is highly damped. I’ll let you write the equation…
What is the current in an I L capacitor?
Prior to closing the switch or at 0 −, the current in i L is 2A because it is a short circuit and the capacitor is a open circuit assuming that its been in this state for a while. My concern is at 0 + what is the voltage across the inductor- d i ( 0 +) d t = v L L.
How to find the other initial condition of an inductor?
There is another way to find the other initial condition using the voltage across the capacitor at t = 0 + but I only use that to evaluate my other method. Following the capicitor method, the voltage 0V across the inductor provides the same answer.