Question

(s+1)(s+2)(s+5) s2+22s+40 (52+12s+136)(s+2) 5. You are designing a series RLC circuit to be used in a pocket size AM radio. Keeping the cost and size (surface area) of the circuit to a minimum is the key objective. (25) The table 1 shows the data of the components available to you. Design a series RLC circuit that is critically damped and fulfills the following requirements: a. It needs to have a resonant frequency of 2.02 MHz (within + 2%). b. Use a combination of circuit components that minimizes: i. Overall cost of the circuit elements used. ii. Minimizes the surface area needed for the circuit elements used. C. Explain your choices. d. If the input to the circuit is 5V RMS at the resonant frequency, analyze the circuit operation, taking into account, the ratings of the different components and indicate the power ratings of the components needed in your design.

Answer 1

#Given that (a) Reasonant frequency = 2:02 MHZ W = The 27 f = 1 1 to revic (2.0268 ) - Vic 27 (2.02810) - Tic 2T LC LC = 6.207x1015 - 3- en damped Condition 3=1 1 2 For Critically R - VI (b) Suppose R=1000 then, From LC = 6.207x10 15 4x100 ( - 6.207 810ls L²- 6.207x1015 4x104 L = 3.93MH = 0.003 mH (L ~ 0.01 mH

To Egue 1 find 'C' Subtitute 'L' in LC = 6-207x1015 ca 6.20781015 0.01x10 3 (= 6. 207x1010 c = 0.0006 MF
You need to mention the cost and surface values table for capacitors,inductors and resistors for further calculations.