
Principles and Applications of Electrical Engineering
6th Edition
ISBN: 9780073529592
Author: Giorgio Rizzoni Professor of Mechanical Engineering, James A. Kearns Dr.
Publisher: McGraw-Hill Education
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Question
Chapter 3, Problem 3.19HP
To determine
The mesh equations in the matrix form, and the mesh equation in the matrix form by the use resistance formula.
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Given the logic function F(A,B,C,D) = Σm(1,2,3,4,9,10,11,12)
(i) Write the truth table of the logic function.
(ii) Use the Karnaugh-map method to find the simplest sum-of-products (SOP)
expression of function F.
(iii) Implement the minimized function with NAND gates only.
(iv) Show that the Boolean function F can be constructed using exclusive-OR gates
(v) Express the same logic function in a product-of-sums (POS) form.
(vi) Simplify your function in product-of-sums (POS).
(vii) Use a decoder with external AND gates only to implement F in its product-of-
sums (POS) form (assume AND gates with any number of inputs are available).
Note: You can use NAND gates with any number of inputs you may need. Assume, as well,
that the input variables are available in both true and complemented form.
Problem
A medical research facility is developing a proton accelerator for cancer treatment using
proton therapy. The accelerator is designed to generate a beam of protons that precisely
targets and destroys cancerous cells while minimizing damage to surrounding healthy
tissue. However, there is an issue with the beam trajectory, which deviates from the
intended direction when subjected to electric and magnetic fields.
A team of engineers has been assigned to diagnose and resolve this issue.
-The accelerator generates a beam of 10" protons with an initial velocity of v = 3 × 10° m/s
in the y-axis direction.
-An electric field of E = 200 kV/m is applied in the negative z-axis using a set of electrodes.
-A magnetic field of B = 0.1T is applied along the z-axis using a solenoid to redirect the
protons.
- However, the beam does not align with the expected trajectory, indicating an error in field
configuration or an unaccounted force acting on the protons.
Answer the following questions
1.…
Design a synchronous binary up-counter using 4 negative edge-triggered JK flip-flops
provided with a clock. The states (sequences) 1100, 1001 and 1000 are considered as
unused states.
(i) Draw the state diagram of the counter.
(ii) Build the counter's state table showing the synchronous inputs of the JK flip-
flops as well.
(iii) Using Karnaugh-maps, find the minimal sum-of-products (SOP) form of the
equations for the inputs to the flip-flops; assume the next states of the unused
combinations to be "don't care states”.
(iv) Draw the logic circuit of the counter.
Chapter 3 Solutions
Principles and Applications of Electrical Engineering
Ch. 3 - Use node voltage analysis to find the voltages V1...Ch. 3 - Use node voltage analysis to find the voltages V1...Ch. 3 - Using node voltage analysis in the circuit of...Ch. 3 - Using node voltage analysis in the circuit of...Ch. 3 - In the circuit shown in Figure P3.5, the mesh...Ch. 3 - In the circuit shown in Figure P3.5, the source...Ch. 3 - Use nodal analysis in the circuit of Figure P3.7...Ch. 3 - Use mesh analysis in the circuit of Figure P3.7 to...Ch. 3 - Use nodal analysis in the circuit of Figure P3.9...Ch. 3 - Use nodal analysis in the circuit of Figure P3.10...
Ch. 3 - Use nodal analysis in the circuit of Figure P3.11...Ch. 3 - Find the power delivered to the load resistor R0...Ch. 3 - For the circuit of Figure P3.13, write the nodee...Ch. 3 - Using mesh analysis, find the currents i1 and i2...Ch. 3 - Using mesh analysis, find the currents i1 and i2...Ch. 3 - Using mesh analysis, find the voltage v across the...Ch. 3 - Using mesh analysis, find the currents I1,I2 and...Ch. 3 - Using mesh analysis. Find the voltage V across the...Ch. 3 - Prob. 3.19HPCh. 3 - For the circuit of Figure P3.20, use mesh analysis...Ch. 3 - In the circuit in Figure P3.21, assume the source...Ch. 3 - For the circuit of Figure P3.22 determine: a. The...Ch. 3 - Figure P3.23 represents a temperature measurement...Ch. 3 - Use nodal analysis on the circuit in Figure P3.24...Ch. 3 - Use mesh analysis to find the mesh currents in...Ch. 3 - Use mesh analysis to find the mesh currents in...Ch. 3 - Use mesh analysis to find the currents in Figure...Ch. 3 - Use mesh analysis to find V4 in Figure P3.28. Let...Ch. 3 - Use mesh analysis to find mesh currents in Figure...Ch. 3 - Use mesh analysis to find the current i in Figure...Ch. 3 - Use mesh analysis to find the voltage gain...Ch. 3 - Use nodal analysis to find node voltages V1,V2,...Ch. 3 - Use mesh analysis to find the currents through...Ch. 3 - Prob. 3.34HPCh. 3 - Prob. 3.35HPCh. 3 - Using the data of Problem 3.35 and Figure P3.35,...Ch. 3 - Prob. 3.37HPCh. 3 - Prob. 3.38HPCh. 3 - Use nodal analysis in the circuit of Figure P3.39...Ch. 3 - Prob. 3.40HPCh. 3 - Refer to Figure P3.10 and use the principle of...Ch. 3 - Use the principle of superposition to determine...Ch. 3 - Refer to Figure P3.43 and use the principle of...Ch. 3 - Refer to Figure P3.44 and use the principle of...Ch. 3 - Refer to Figure P3.44 and use the principle of...Ch. 3 - Prob. 3.46HPCh. 3 - Use the principle of super position to determine...Ch. 3 - Prob. 3.48HPCh. 3 - Use the principle of super position to determine...Ch. 3 - Use the principle of superposition to determine...Ch. 3 - Find the Thé venin equivalent of the network...Ch. 3 - Find the Thé venin equivalent of the network seen...Ch. 3 - Find the Norton equivalent of the network seen by...Ch. 3 - Find the Norton equivalent of the network between...Ch. 3 - Find the Thé venin equivalent of the network seen...Ch. 3 - Prob. 3.56HPCh. 3 - Find the Thé venin equivalent of the network seen...Ch. 3 - Find the Thé venin equivalent network seen by...Ch. 3 - Prob. 3.59HPCh. 3 - Prob. 3.60HPCh. 3 - Prob. 3.61HPCh. 3 - Find the Thé venin equivalent resistance seen...Ch. 3 - Find the Thé venin equivalent resistance seen by...Ch. 3 - Find the Thé venin equivalent network seen from...Ch. 3 - Find the Thé’cnin equivalent resistance seen by R3...Ch. 3 - Find the Norton equivalent of the network seen by...Ch. 3 - Find the Norton equivalent of the network seen by...Ch. 3 - Prob. 3.68HPCh. 3 - Find the Norton equivalent network between...Ch. 3 - Prob. 3.70HPCh. 3 - Prob. 3.71HPCh. 3 - Prob. 3.72HPCh. 3 - The Thé venin equivalent network seen by a load Ro...Ch. 3 - The Thévenin equivalent network seen by a load Ro...Ch. 3 - Prob. 3.75HPCh. 3 - Prob. 3.76HPCh. 3 - Many practical circuit elements are non-linear;...Ch. 3 - Prob. 3.78HPCh. 3 - The non-linear diode in Figure P3.79 has the i-v...Ch. 3 - Prob. 3.80HPCh. 3 - The non-linear device D in Figure P3.81 has the...Ch. 3 - Prob. 3.82HPCh. 3 - The so-called forward-bias i-v relationship for a...
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