Quiz 3 Solution
Name _
Score _/40
Consider a first-order RC low-pass filter with corner frequency = 1 kHz. What is the phase shift
in a degrees at 7.5 kHz? (3 points)
Question 1
1.
2.
Solution The phase shift at 1 kHz is 45 and increases at 45 / decade. 7
Question 1 Consider the parallel circuit below. Determine an expression for the input
impedance 11 () and show that the poles 1 , 2 are real by determining numerical their
numerical values in Hz. Draw the pole-zero diagram of 11 (), and sketch the frequen
Question 1 Design a resonant circuit driven by a source with resistance 50 and a load
resistance 2K. The network should be = 20 and the center frequency is 100 MHz. Use a
capacitive transformer to match the load with the source for maximum power transfer.
Homework Assignment 03
Question 1 It is sometimes desirable to use an XOR-type PD (which requires 50% duty-cycle
inputs) with signals that are not 50% duty cycle. Provide a simple work-around this problem.
Assume you have a selection of standard logic gat
Question 1 A phase-locked loop has a center frequency of 0 = 105 rads, K o =
103 rads per V, and K d = 1 Vrad. There is no other gain in the loop, and the loop filter is
() = 1. Determine the 3-dB bandwidth of the loop. (6 points)
Homework Assignment 04
Homework Assignment 5 Solution
Question 1 (1 point unless noted otherwise)
1.
A buck converter has
and
assuming CCM operation, what is
. Neglecting losses and
and the load current ? (4 points)
Answer
.
2.
, so that
A boost converter has
and
. Neglecting l
Homework Assignment 6 Solution
Question 1 (SS 6th Ex 16.3) A second order filter has poles at = 12 32. The
transmission is zero at = 2 rad/s and is unity at dc ( = 0). Determine the transfer function.
(10 points)
Solution
() =
()
()
() = ( 1 )( + 2 ) =
Homework Assignment 7 Solution
Question 1 Quick takes. (1 point each unless indicated otherwise)
1.
True or false: the following is a low-pass active filter
False. This is a high-pass filter
2.
True or false: the following is a high-pass active filter:
Fa
Homework Assignment 8 Solution
() = 1( 3 + 2 2 + 2 + 1) (a) Verify that it satisfies |()| = 11 + 2 ( )2 with
= 1 (10 points). (b) Show that if 1 = 0.14537 and 2 = 2.25468, the single-op-amp filter
below implements the 3rd order Butterworth response with
Advanced Circuit Techniques (55:141)
Spring 2012
Midterm Exam
Score:
/70
Name: _
Question 1 (1 point unless noted otherwise)
1.
A buck converter has
and
operation, what is
and the load current
. Neglecting losses and assuming CCM
? (4 points)
Answer
.
2.
Extended Quiz 1 (Makeup) Solution
Question 1. The frequency tripler shown is driven at 50 kHz such that the collector current is 3 mA peak-to-peak.
Estimate the output voltage amplitude. You may assume that this is a high- circuit. Assume 0 = 10K for the
Extended Quiz 1 Solution
Question 1. The data sheet for a 10 mH inductor indicates a = 50 at 250 kHz. What is the inductor at
100 kHz? (3 points)
Solution. = ( ) and since we are not given any additional information, assume and are not functions of
freque
Quiz 2 Solution
Name _
Question 1. Consider the PLL shown where = 104 and = 1 krads per V.
(a) What is the order of the loop? (1 point)
1st order
(b) What is the time constant of the loop? (1 point)
= 1 = 100 s
(c) What is the 3-dB bandwidth of the loop
Quiz 4 Solution
Name: _
Total _/50
Question 1 Short takes.
1.
Show how one can implement a two-input logic AND operation using two diodes and a resistor.
(2 points)
Answer
C is high when A or B is high
2.
Show how one can implement a so-called wired-OR us