Damoed Oscillation in an RLC circuit

In summary, the given problem involves a single loop circuit with a 7.2 ohm resistor, a 12.0 H inductor, and a 3.20*10^-6 F capacitor. Initially, the capacitor has a charge of 6.20*10^-6 C and the current is zero. The equation q=Qe^(-Rt/2L)cos(wt + p) is used to solve for the charge on the capacitor after a certain number of complete cycles. The relationship between angular frequency and L, C, and R must be determined in order to solve the problem.
  • #1
Senrab
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0

Homework Statement


A single loop circuit consists of a 7.2 ohm resistor, a 12.0 H inductor, and a 3.20*10^-6 F capacitor. Initially the Capacitor has a charge of 6.20*10^-6 C and the current is zero. Find the charge on the capacitor N complete cycles later for a) N=5, b) N=10, and c) N=100.

Homework Equations


q=Qe^(-Rt/2L)cos(wt + p), where p is the phase constant and w is the angular frequency.


The Attempt at a Solution


I can't figure out how to solve this considering I'm given a # of complete cycles and I can't convert it to time. Sorry if I'm being dumb, I've been working on the same type of stuff for several hours now.
 
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  • #2
What is angular frequency? How is related the angular frequency to L, C, and R?

ehild
 
  • #3
ehild said:
What is angular frequency? How is related the angular frequency to L, C, and R?

ehild

After you find the angular frequency, how is it related to the time it takes the system to go through one cycle?
 

Related to Damoed Oscillation in an RLC circuit

1. What is a Damoed Oscillation in an RLC circuit?

A Damoed Oscillation in an RLC circuit is a type of damped oscillation that occurs in a circuit containing a resistor, inductor, and capacitor. It is characterized by a gradual decrease in amplitude over time due to energy dissipation through the resistor.

2. How does a Damoed Oscillation differ from a regular oscillation?

Unlike regular oscillations, which continue indefinitely without any energy loss, Damoed Oscillations gradually decrease in amplitude due to the presence of a resistor in the circuit. This results in a damped oscillation with a finite duration.

3. What causes a Damoed Oscillation in an RLC circuit?

A Damoed Oscillation is caused by the interaction between the inductor and capacitor in the circuit. When the capacitor is charged, it creates a magnetic field around the inductor, which then induces a current in the opposite direction. This current charges the capacitor in the opposite direction, creating a cycle of charge and discharge that results in an oscillating current in the circuit.

4. How is the amplitude of a Damoed Oscillation affected by the components in the circuit?

The amplitude of a Damoed Oscillation is affected by the values of the resistor, inductor, and capacitor in the circuit. A higher resistance will result in a faster decrease in amplitude, while a larger inductance or capacitance will result in a slower decrease. Additionally, the initial conditions of the circuit, such as the initial charge on the capacitor, can also affect the amplitude.

5. What practical applications does a Damoed Oscillation have?

Damoed Oscillations have practical applications in various electronic devices, such as filters and amplifiers. They are also used in radio frequency circuits to tune to specific frequencies and in power supplies to reduce voltage fluctuations. Understanding Damoed Oscillations is crucial for designing and analyzing complex electronic circuits.

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