Sometimes, we can use symmetry considerations to find the resistance of a circuit that cannot be reduced by series or parallel combinations. A classic problem of this type is illustrated in Figure P2.16. Twelve 1- Ω resistors are arranged on the edges of a cube, and terminals a and b are connected to diagonally opposite corners of the cube. The problem is to find the resistance between the terminals. Approach the problem this way: Assume that 1 A of current enters terminal a and exits through terminal b. Then, the voltage between terminals a and b is equal to the unknown resistance. By symmetry considerations, we can find the current in each resistor. Then, using KVL, we can find the voltage between a and b. Figure P2.16 Each resistor has a value of 1 Ω .
Sometimes, we can use symmetry considerations to find the resistance of a circuit that cannot be reduced by series or parallel combinations. A classic problem of this type is illustrated in Figure P2.16. Twelve 1- Ω resistors are arranged on the edges of a cube, and terminals a and b are connected to diagonally opposite corners of the cube. The problem is to find the resistance between the terminals. Approach the problem this way: Assume that 1 A of current enters terminal a and exits through terminal b. Then, the voltage between terminals a and b is equal to the unknown resistance. By symmetry considerations, we can find the current in each resistor. Then, using KVL, we can find the voltage between a and b. Figure P2.16 Each resistor has a value of 1 Ω .
Solution Summary: The circuit is shown in Figure 1. Mark the nodes and the current directions and redraw the circuit.
Sometimes, we can use symmetry considerations to find the resistance of a circuit that cannot be reduced by series or parallel combinations. A classic problem of this type is illustrated in Figure P2.16. Twelve 1-
Ω
resistors are arranged on the edges of a cube, and terminals a and b are connected to diagonally opposite corners of the cube. The problem is to find the resistance between the terminals. Approach the problem this way: Assume that 1 A of current enters terminal a and exits through terminal b. Then, the voltage between terminals a and b is equal to the unknown resistance. By symmetry considerations, we can find the current in each resistor. Then, using KVL, we can find the voltage between a and b.
(b). Show how the PAL should be programmed in order to implement each of the
following SOP expressions. Use X to indicate an intact fuse. Simplify the
expressions, if necessary, to fit the PAL shown
(i) Y = ABC + ABC + ABC
(ii) Y = ABC + ABC + ABC + ABC
For the control system Plot root Locus and find the
Jain of stability?
RIST.
K
Kp (S+3)
S+5
(s+1)
s (S+2) (5765+18)
5-1
5²+35+4
* Mathematically, not by Matlab.
Not use ai please
Chapter 2 Solutions
Electrical Engineering: Principles & Applications, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (7th Edition)
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