25 Lecture

What does Norton's theorem state about a linear circuit?

A. It can be replaced with a single voltage source and a series resistor.

B. It can be replaced with a single current source and a parallel resistor.

C. It can be replaced with a single capacitor and an inductor.

D. None of the above.

Answer: B

What is the equivalent resistance in a Norton equivalent circuit?

A. The resistance across the two terminals of the circuit.

B. The resistance across the two parallel components in the circuit.

C. The resistance across the two series components in the circuit.

D. None of the above.

Answer: A

Can Norton's theorem be applied to nonlinear circuits?

A. Yes

B. No

Answer: B

What is the significance of the Norton current in a circuit?

A. It is equal to the open circuit voltage of the circuit.

B. It is equal to the short circuit current of the circuit.

C. It is equal to the equivalent resistance of the circuit.

D. None of the above.

Answer: B

How is the Norton equivalent circuit different from the original circuit?

A. The Norton equivalent circuit has a single voltage source and a series resistor.

B. The Norton equivalent circuit has a single current source and a parallel resistor.

C. The Norton equivalent circuit has the same number of components as the original circuit.

D. None of the above.

Answer: B

What is the purpose of using Norton's theorem in circuit analysis?

A. To make the circuit more complicated.

B. To make the circuit easier to analyze.

C. To increase the voltage across the circuit.

D. None of the above.

Answer: B

What is the Norton resistance in a circuit?

A. It is equal to the resistance between the two terminals of the circuit when all the independent sources are turned off.

B. It is equal to the resistance between the two parallel components in the circuit.

C. It is equal to the resistance between the two series components in the circuit.

D. None of the above.

Answer: A

How is the Norton equivalent circuit useful in circuit design?

A. It can be used to calculate the equivalent resistance of the circuit.

B. It can be used to calculate the voltage across any load resistance connected between the two terminals of the circuit.

C. It can be used to calculate the current across any load resistance connected between the two terminals of the circuit.

D. None of the above.

Answer: B

How is the Norton current determined in a circuit?

A. It is equal to the voltage across the circuit.

B. It is equal to the resistance of the circuit.

C. It is equal to the short circuit current that would flow through the original circuit when the load resistance is set to zero.

D. None of the above.

Answer: C

What is the difference between Norton's current and load current in a circuit?

A. Norton's current is the current that flows through the circuit when the load resistance is nonzero, while the load current is the current that would flow through the circuit when the load resistance is set to zero.

B. Norton's current is the current that would flow through the circuit when the load resistance is set to zero, while the load current is the current that flows through the circuit when the load resistance is nonzero.

C. Norton's current is the same as the load current.

D. None of the above.

Answer: B

What is Norton's theorem in circuit theory?

Answer: Norton's theorem is a principle that states any linear circuit can be replaced by an equivalent current source and a resistor in parallel.

How is the Norton current determined in a circuit?

Answer: The Norton current is equal to the short-circuit current that would flow through the original circuit when the load resistance is set to zero.

What is the significance of the Norton resistance in a circuit?

Answer: The Norton resistance is equal to the resistance between the two terminals of the circuit when all the independent sources are turned off.

What is the difference between Norton's theorem and Thevenin's theorem?

Answer: Norton's theorem replaces a network of components with a single current source and a parallel resistor, while Thevenin's theorem replaces it with a single voltage source and a series resistor.

Why is Norton's theorem useful in circuit analysis?

Answer: Norton's theorem allows us to simplify complex circuits and model them as simpler equivalent circuits that are easier to analyze.

How is the Norton equivalent circuit different from the original circuit?

Answer: The Norton equivalent circuit has a single current source and a parallel resistor, while the original circuit may have multiple components.

Can Norton's theorem be applied to nonlinear circuits?

Answer: No, Norton's theorem is only applicable to linear circuits.

What is the equivalent resistance of a circuit in Norton's theorem?

Answer: The equivalent resistance is the resistance between the two terminals of the circuit when all the independent sources are turned off.

How is the Norton equivalent circuit useful in circuit design?

Answer: The Norton equivalent circuit can be used to calculate the voltage across any load resistance connected between the two terminals of the circuit.

What is the difference between Norton's current and load current in a circuit?

Answer: Norton's current is the current that would flow through the circuit when the load resistance is set to zero, while the load current is the current that flows through the circuit when the load resistance is nonzero.

Norton's Theorem with examples

In circuit theory, Norton's theorem is a fundamental principle used to simplify complex circuits by replacing a network of components with a single current source and a single parallel resistor. Like Thevenin's theorem, Norton's theorem is used to model a circuit as a simpler equivalent circuit that is easier to analyze. Norton's theorem states that any linear circuit can be replaced by an equivalent current source and a resistor in parallel. The equivalent current source, known as the Norton current, is equal to the short-circuit current that would flow through the original circuit when the load resistance is set to zero. The equivalent resistor, known as the Norton resistance, is equal to the resistance between the two terminals of the circuit when all the independent sources are turned off. The equivalent circuit obtained through Norton's theorem is often easier to work with, especially when the circuit is complex or when the load resistance changes frequently. In many cases, Norton's theorem can be more convenient than Thevenin's theorem, especially when the load resistance is unknown. To illustrate Norton's theorem, let's consider the following circuit: 10? 20? A ----/\/\/\--------/\/\/\---- B | | | | | 30? | | | | -----/\/\/\--- 15? To apply Norton's theorem to this circuit, we need to find the Norton current and the Norton resistance. First, we need to turn off all the independent sources in the circuit, which means that we need to remove the voltage sources and replace them with short circuits and the current sources with open circuits. After doing this, the circuit becomes: 10? 20? A ----/\/\/\--------/\/\/\---- B | | | | | 30? | | | | -----/\/\/\--- 15? | | | V Next, we need to find the short-circuit current that flows through the circuit when the load resistance is zero. To do this, we need to short-circuit the terminals A and B and find the current that flows through the resulting short circuit. By applying Kirchhoff's Current Law (KCL), we find that the short-circuit current is 1.5A. The Norton current is then equal to the short-circuit current, which is 1.5A. To find the Norton resistance, we need to calculate the resistance between the terminals A and B with all the independent sources turned off. This can be done by removing the 30? resistor and finding the equivalent resistance of the remaining circuit, which is: 10? 20? A ----/\/\/\--------/\/\/\---- B | | | | | | | | | | -----/\/\/\--- 15? The equivalent resistance of this circuit is: R = 10? + 20? || 15? = 10? + (20? x 15?) / (20? + 15?) = 13? Therefore, the Norton equivalent circuit for the original circuit is: 1.5A A ---/\/\/\--- 13? --- B We can use this equivalent circuit to calculate the voltage across any load resistance connected between terminals A and B.