Simple explanation of a series rlc circuit in a radio

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SUMMARY

A series RLC circuit in a radio functions as a tuner by utilizing the resonance phenomenon, which occurs when the inductive reactance and capacitive reactance cancel each other out at a specific frequency. This cancellation results in a peak voltage across the resistor, allowing for the amplification of the input signal at the junction of the inductor and capacitor. By adjusting the capacitance, users can tune into different frequencies, such as 99.8 Hz or 110 Hz. The selectivity of the circuit improves with a smaller series resistor, enhancing its ability to reject nearby frequencies while receiving a desired signal.

PREREQUISITES
  • Understanding of basic electrical components: resistor, inductor, capacitor
  • Knowledge of AC signal behavior and impedance
  • Familiarity with resonance in electrical circuits
  • Basic concepts of signal amplification
NEXT STEPS
  • Study the principles of resonance in RLC circuits
  • Learn about impedance and reactance in AC circuits
  • Explore the role of variable capacitors in tuning circuits
  • Investigate the effects of series resistance on circuit selectivity
USEFUL FOR

Electronics enthusiasts, radio engineers, students studying electrical engineering, and anyone interested in understanding radio frequency tuning mechanisms.

thetrice
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hi, i wanted a simple explanation of a series rlc circuit in a radio
as i know the rlc circuit consists of resistor,inductor,capacitor
i know the function of each of them but what i don't understand is how by combinig them we can make a radio tuner!?
i searched many websites but i can't find a simple explanation.
i mean a resistor just oppose the electric current
and inductor causes electromagnetic induction phenomena and can store energy in form of magnatic field
and capacitor can store energy and discharge it (although very small charge)
but what i don't understand is? how by changing the capacitance of the capacitor i can make rlc circuit receive for example a 99.8 hertz signal and by changing it's capacitance i can make it receive a radio signal of 110 hertz.
thanks for reading
 
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thetrice said:
hi, i wanted a simple explanation of a series rlc circuit in a radio
as i know the rlc circuit consists of resistor,inductor,capacitor
i know the function of each of them but what i don't understand is how by combinig them we can make a radio tuner!?
i searched many websites but i can't find a simple explanation.
i mean a resistor just oppose the electric current
and inductor causes electromagnetic induction phenomena and can store energy in form of magnatic field
and capacitor can store energy and discharge it (although very small charge)
but what i don't understand is? how by changing the capacitance of the capacitor i can make rlc circuit receive for example a 99.8 hertz signal and by changing it's capacitance i can make it receive a radio signal of 110 hertz.
thanks for reading

Welcome to the PF. A series or parallel LC circuit resonates at a frequency determined by the values of the L and C. At resonance, the circuit presents either a low or a high impedance, depending on whether the circuit is series or parallel.

More info can be found at http://en.wikipedia.org/wiki/LC_circuit

.
 
As you can see from that Wikipedia reference, resonance is not a simple subject.
From their functions, you would not expect such effects from capacitors and inductors.

Perhaps you can just accept that such effects do occur and can be easily demonstrated.

Capacitors have less impedance as frequency increases and inductors have more impedance as frequency increases. At some frequency, these impedances (actually called reactances) are equal and can cancel each other out because of phase relationships between them.

If you have a series circuit of R... L... C and a variable AC signal source, the L and C will reach a state, as you vary the frequency, where their impedances cancel each other out and the effective result is just the R in circuit. This will mean that all the AC voltage will occur across R. So, you would see a peak in voltage across R and a dip in voltage across the L .. C part of the circuit.

BUT that is not the only thing that happens. At the junction of the L and C, there will be a highly magnified version of the input signal. This is very surprising when you first see it, because you don't expect to see an amplified signal without an amplifier.

You could take this larger signal and use it in a radio receiver to receive one signal better than another on a different frequency.

These effects are not perfect and nearby frequencies are also passed to some extent. If the series resistor is small the resonance effect is more pronounced and the selectivity of the circuit is greater. So, it is better at rejecting nearby frequencies.

As an example, you could reject 900 kHz while receiving 1000 kHz, but you probably couldn't reject 990 kHz while receiving 1000 kHz, with a simple tuned circuit.
 

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