Help Needed: Finding Frequency in RLC Circuit

In summary, the conversation discusses a problem with an RLC circuit and how to calculate the frequency at which the current through the inducer is equal to the current through the resistor in parallel. The suggested method is to use impedances and set up equations using jw and the equations for parallel impedances and voltage divider. The final step is to set the currents equal and solve for w.
  • #1
bemigh
30
0
Hey,
I have a problem with an RLC circuit. It consists of a resistor in series, followed by another resistor, capacitor, and inducer, all in parallel.
The question is asking for what frequency (its an AC circuit), is the current through the inducer the same as the resistor (the one in parallel).
Im unsure how to set up the problem... do i use Kirchoffs loop rule?? Or use impedances?
Any help would be appreciated
Cheers
Brent
 
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  • #2
I would use impedances. Set up the equations for the various currents in terms of jw. You can use the equations for parallel impedances and then the voltage divider equation. Then at the end you just set the resistor and the incudtor currents equal and solve for w.

-Dale
 

1. What is an RLC circuit?

An RLC circuit is an electrical circuit that consists of a resistor (R), an inductor (L), and a capacitor (C) connected in series or parallel. It is a type of filter circuit commonly used in electronic devices to control the flow of electrical current.

2. How do you find the frequency in an RLC circuit?

The frequency in an RLC circuit can be found using the formula: f = 1 / (2 * pi * sqrt(LC)), where f is the frequency in Hertz (Hz), pi is a mathematical constant, L is the inductance in Henrys (H), and C is the capacitance in Farads (F). Alternatively, you can use an oscilloscope or a function generator to measure the frequency directly.

3. What is the significance of finding the frequency in an RLC circuit?

Finding the frequency in an RLC circuit is important because it allows you to determine the resonant frequency at which the circuit will have the highest amplitude response. This information is useful in designing and analyzing electronic devices, such as filters, amplifiers, and oscillators.

4. How do you calculate the resonant frequency in an RLC circuit?

The resonant frequency in an RLC circuit can be calculated using the formula: fr = 1 / (2 * pi * sqrt(L * C)), where fr is the resonant frequency in Hertz (Hz), pi is a mathematical constant, L is the inductance in Henrys (H), and C is the capacitance in Farads (F). This formula assumes that the resistance (R) in the circuit is negligible.

5. What factors affect the frequency in an RLC circuit?

The frequency in an RLC circuit is affected by three main factors: the values of the inductance (L) and capacitance (C), and the resistance (R) in the circuit. Increasing the inductance or capacitance will decrease the frequency, while increasing the resistance will also decrease the frequency. Additionally, the type of circuit (series or parallel) and the external voltage source can also affect the frequency.

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