Question

Prob. 4 (20pts): A radio wave is composed of: CO Vin(t) 10-5 > Sin(nwot) Volt n-1,2,3 (a) (3pts) What are the values of the Fourier coefficients for Vin(t), for n-1,2 and:3 (b) (6pts) The following RLC circuit has been constructed to receive CBC Radio One Vancouver at 88.1 MHz. The circuit is then used to power a speaker (represented by a resistor Ri). Derive Vo(t)/Vin(t) (c) (6pts) Determine the frequency where Vo(t) reaches the maximum value. RL=R=100Ω, L=10:1H, C=10 pF (d) (3pts) Will the RLC circuit be able to receive CBC Radio One? Explain (e) (2pts) If the RLC circuit is able to receive CBC Radio One, in principle, will an added capacitor and inductor to the load Ri help make the speaker louder? Explain your reasons ) Vin(t) Ri S Vo(t)

Answer 1

circuit is a simple series RLC circuits and taking. output across capacitor and input you are applying for X entire RLC. so transfer function is OK transfer function definition is Laplace transform of outputs divided. by a Laplace transform of inputs at 0 initial conditions as it is given initial conditions are 0.