Chapter 8 – Methods of Analysis Lecture 9A - Tutorial by Moeen Ghiyas 13/03/2016 1

Branch Current Analysis Mesh Analysis Method (General Approach) Super Mesh Currents

# 16 – For the transistor configuration of Fig: a) Solve for the currents I B, I C, and I E using the fact that V BE = 0.7 V and V CE = 8 V. b) Find the voltages V B, V C, and V E with respect to ground. c) What is the ratio of output current I C to input current I B ? [Note: In transistor analysis this ratio is referred to as the dc beta of the transistor (β dc )].

a) Solve for the currents I B, I C, and I E using the fact that V BE = 0.7 V and V CE = 8 V. Solution: o KVL in loop 1 o KVL in loop 2 o KCL at 1 node o Solving simultaneously

b) Find the voltages V B, V C, and V E with respect to ground. Solution : Using basic tools of electrical engineering....

c) What is the ratio of output current I C to input current I B ? [Note: In transistor analysis this ratio is referred to as the dc beta of the transistor (β dc )].

# 24 – Using mesh analysis, determine the current through the 5Ω resistor for network of fig. Then determine voltage V a. Solving we get Now for V a 13/03/2016 7

# 24 – F ind the current through each element of the networks of fig. Decide which approach would you use and why? Mesh - general approach gets I 4Ω wrong, so we choose super-mesh Solution:

# 24 – F ind the current through each element of the networks of fig. Solution: For super-mesh we open circuit current source Super-mesh loop: KCL for co-relation eq.

# 24 – F ind the current through each element of the networks of fig. Simultaneous solving&

Determinants – (Appendix C of Book) Mesh Analysis Method (General Approach) Super Mesh Currents Mesh Analysis Method (Format Approach) 13/03/

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Consider the following equations, where x and y are the unknown variables and a 1, a 2, b 1, b 2, c 1, and c 2 are constants: 13/03/

Example:Solve for x and y. Solution: Check your answer by putting the calculated values in original equation and see if it tallies 13/03/

Consider the three following simultaneous equations in which x, y, and z are the variables, and a 1,2,3, b 1,2,3, c 1,2,3, and d 1,2,3 are constants: where 13/03/

Sign of each cofactor we can find the minors of a 1 and b 1 as follows: 13/03/