Nanotechnology Engineering - Resonance Circuits Questions -

Q1) A series RLC network has R = 2KΩ, L = 40mH and C = 1μF. Calculate the impedance at resonance and at one-fourth, one-half, twice, and four times the resonant frequency.

Q2) Design a series RLC circuit with BW = 20 rad/s and ω₀ = 1000 rad/s using R = 10Ω. Find the quality factor of the circuit (Q_s).

Q3) A circuit consisting of a coil with inductance 10mH and resistance 20 is connected in series with a capacitor and a generator with an rms voltage of 120V. Find:

a. The value of the capacitance that will cause the circuit to be in resonance at 15kHz.

b. The current through the coil at resonance.

c. The quality factor of the circuit (Q_s).

Q4) A parallel resonant circuit with quality factor 120 has a resonant frequency of 6Mrad/s. Calculate the bandwidth and half-power frequencies.

Q5) A parallel RLC circuit is resonant at 5.6MHz, has a Q_p of 80, and has a resistive branch of 40Ω. Determine the values of L and C in the other two branches.

Q6) A parallel RLC circuit has R = 5KΩ, L = 8mH, and C = 60μF. Determine:

a. The resonant frequency.

b. The bandwidth.

c. The quality factor (Q_p).

Q7) Find the resonant frequency of the circuit shown.