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Resonance is a condition in an RLC circuit in which the capacitive and inductive reactances are equal in magnitude, thereby resulting in a purely resistive

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Resonance is a condition in an RLC circuit in which the capacitive and inductive reactances are equal in magnitude, thereby resulting in a purely resistive impedance. Resonant circuits (series or parallel) are useful for constructing filters, as their transfer functions can be highly frequency selective. They are used in many applications such as selecting the desired stations in radio and TV receivers. Consider the series RLC circuit shown in Fig. 14.21 in the fre- quency domain. The input impedance is v Z=H) = R + jwL+ jwC R jost 1 (14.22) V-V.20 foc Figure 1421 The series resonant circuit ZER+(L- (old) (14:23) Resonance results when the imaginary part of the transfer function is zero, or 0 Im(Z) = (14.24) The value of that satisfies this condition is called the resonant frequency ano. Thus, the resonance condition is Question1_[6 marks] In the given RCL resonant circuit R= 20hms , C= 0.4 uF and L=1mH. 1 - Drive the frequency response of the circuit. 2- Calculate the resonance frequency. 3- Calculate the bandwidth

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