Dsign a parallel resonant rlc circuit with 10 rads and q

Question

Questions -

Problem 1 - A series RLC network has R = 2 kΩ, L = 40 mH and C = 1μF. Calculate the impedance at resonance and at one-fourth, one-half, twice, and four times the resonant frequency.

Problem 2 - Design a series RLC resonant circuit with ω₀ = 40 rad/s and B = 10 rad/s.

Problem 3 - Design a series RLC circuit with B = 20 rad/s and ω₀ = 1000 rad/s. Find the circuit's Q. Let R = 10 Ω.

Problem 4 - Design a parallel resonant RLC circuit with ω₀ = 10 rad/s and Q = 20. Calculate the bandwidth of the circuit. Let R = 10 Ω.