32. If resonant frequency is 10 kHz and quality factor is 50, then

Consider the following voltage divider circuit: 

Identify the circuit as either a high pass filter, low pass filter, band pass filter, band stop filter or none of the above. 

The circuit above, is known to exhibit a resonance at a frequency given by ω02=1/LC. Show that the 3dB bandwidth of the circuit around this resonance is given by δω3dB=R/L. 

6. For the following circuit.

Write down the node voltage equations that solve for it when: The system frequency is 1 kHz. II = 2.5<0 A and I 2=1<0 A (<= angle) (2 pts)

5. The following circuit can be used as part of a loudspeaker crossover network. These networks can be pictured as frequency sensitive voltage dividers. This circuit allows low frequency tones to go into the low frequency transducer labeled here as "Loudspeaker", a.k.a. woofer. The crossover frequency is the frequency f at which the reactance magnitude equals the woofer's resistance.

5b) Find P F, S, and Q at 2000 Hz for an harmonic wave (i.e. sinusoidal signal) with a peak amplitude of 1V.