# what is meant by sharpness of resonance?

sharpness of the resonance means,less amount of bandwidth of the circuit.

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When the resistance of an LCR circuit is very low,a large current flows and the angular frequency such as a LCR circuit is said to be more selective or sharper is called sharpness of resonance.

“SHARPNESS OF RESONANCE IS SPECIAL CASE OF LCR CIRCUIT”

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SHARPNESS OF RESONANCE IS SPECIAL CASE OF LCR CIRCUIT”

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the sharpness of resonance or Q-factor of a series resonant is defined as the ratio of the resonant frequency to the difference in 2 frequencies taken on both sides of the resonant such tht at each frequeny the current amplitude beomes  (1/ root 2) times the value at resonant frequency

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In theory

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Frequency response is a measure of the amplitude of an oscillation as a function of frequency. Sharpness of resonance is defined by the Q factor, which is related to how quickly the energy of the oscillating system decays.
In physics and engineering the quality factor or Q factor is a dimensionless parameter that describes how under-damped an oscillator or resonator is, and characterizes a resonator's bandwidth relative to its center frequency.
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Sharpness refers to the selectivity of signals in a certain frequency. It is used for tuning electronics.

To measure sharpness, we use quality factor.

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Refer here

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It is nothing but quality factor which decrease with increase in resistance and vice versa. Q=1/R?L/C
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Sharpness of resonance curve determines the quality factor .
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SHARPNESS OF RESONANCE.?It is also know as Q -factor . it is defined as thr ratio of resonant frequency to the frequency taken on either sidesof resonance such that the current at each of these freqencyis 1/ (2)^1/2 the current at wr.
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Sharpness of resonance is defined by the Q factor, which is related to how quickly the energy of the oscillating system decays.
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Frequency response is a measure of the amplitude of an oscillation as a function of frequency.

Sharpness of resonance is defined by the Q factor, which is related to how quickly the energy of the oscillating system decays.

The determinants of the sharpness in resonance depends on the system involved. Lots of physical systems undergo resonance peaks, in the case of inhomogenously broadened optical oscillators (lasers) for example, the sharpness depends on the losses in the cavity, the gain medium, the shape and reflectivity of the mirrors and the length of the cavity.

Resonance peaks can be described mathematically using Gaussian, Lorentzian or a combination between the two (convolution) called a Voight profile. All these mathematicals functions have 2 important parameters, the maximum value and the Full width-Half maximum (The width of the curve at 1/2 the maximum value.) The ratio of these two parameters gives the Q values. Tall skinny peaks have a high Q, flat broad peaks have a low Q.

Hope, it helps!
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Sharpness of resonance can generally be estimated by quality factor.

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