circuit homework

EE 310 – Electric Circuits II – Fall 2019 – Homework #6 – Due Date: 11AM 10.22.2019

Problem 1

Find the transfer function H(w) with the Bode magnitude plot shown in Fig. 1.

Figure 1

Problem 2

Design a series RLC circuit with B = 20 rad/s and w0 = 1,000 rad/s. Find the circuit's Q. Let R = 10 Ω. Problem 3 Let vs(t) = 20cos(αt) V in the circuit of Fig. 2. Find wo , Q, and B, as seen by the capacitor. /

Figure 2 Problem 4

A parallel RLC circuit has an R = 100 kΩ, L = 100 mH, and a C = 10 µF, determine the value of Q, the resonant frequency, and the bandwidth. If R = 200 kΩ, how does that effect the values of Q, resonant frequency, and the bandwidth?

ω (rad/s)

20

0

–20

12 kW

+ _ 45 kW 60 mH 1 µF vs

EE 310 – Electric Circuits II – Fall 2019 – Homework #6 – Due Date: 11AM 10.22.2019

Problem 5

A parallel resonance circuit has a resistance of 2 kW and half-power frequencies of 86 kHz and 90 kHz. Determine: (a) the capacitance, (b) the inductance, (c) the resonant frequency, (d) the bandwidth, (e) the quality factor. Problem 6

Show that a series LR circuit is a lowpass filter if the output is taken across the resistor. Calculate the corner frequency fc if L = 2 mH and R = 10 kW. Problem 7

Find the transfer function Vo/Vs of the circuit in Fig. 3. Show that the circuit is a lowpass filter.

/

Figure 3

Problem 8

Determine the center frequency and bandwidth of the bandpass filters in Fig. 4.

Figure 4

10 H