Question

(a) For the circuit of Figure 4, assuming a sinusoidal is(t) (0) Prove that the resonant frequeney is given by o- (3 marks) LC (ii) If the total admittance at resonance is 20 ms (seen by the source) with resonant frequency of wo 5000 rad/s and quality factor of Q-10, calculate the values of R L, C, the bandwidth and half-power frequencies in Hertz. (4 marks) VG and hence show (iii) Derive an expression for the driving point impedance Z(jø) that the maximum of the impedance magnitude response Z(jw)1 occurs at ω (4 marks) ω0 Figure 4

Answer 1

久① -or Resonance of Parallel Rdmithance must be purely Resis hive Ls LOL ToL at (esonane w=wo where 1 . (sre tat Reson arte R. y= 20 ms Y = 20X10 ILC 10"H 25 2 线,. g 5.7下一啊51-1 55.385 495:43 +1957 -835.55 H z-

From paral)el Resonance JOL tme7)

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