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.
Please someone help me to slove these two problems, and give me an explanation , thank you
Basic Electrical EngineeringSimulate the circuits shown using Multisim. Copy and paste the screenshot of simulated circuit.
(2nd pic is example for reference)
Initially a 10 V battery is in series with a 100 ohm resistor and a 2 mH inductor. After along time, a switch is thrown to remove the battery from the circuit, and replacing itwith another 100 ohm resistor (and so the inductor ends up with two 100 ohm resistorsin series).What is the current at t=0 s (immediately after the switch is thrown)?What is the current at t=5 s later?
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