Norton and thevenin equivalent

[iamnew]

Homework Statement

The circuit is attached as a jpg image. How can i find the norton equivalent when both current sources and voltage sources are present?

please help

Homework Equations

The Attempt at a Solution

 

[berkeman]

Homework Statement

The circuit is attached as a jpg image. How can i find the norton equivalent when both current sources and voltage sources are present?

please help

Homework Equations

The Attempt at a Solution

How do you define a Norton equivalent? What about a Thevinin equivalent circuit? What steps do you think you would take to convert the circiut given into each equivalent?

 

[Mene]

To find the Norton equivalent when both current and voltage sources are present, you can follow these steps:

1. Determine the open-circuit voltage (Voc) of the circuit by removing all current sources and replacing them with open circuits. This will give you the voltage across the output terminals.

2. Calculate the equivalent resistance (Req) of the circuit by removing all voltage sources and short-circuiting all current sources. This will give you the resistance seen from the output terminals.

3. The Norton equivalent current (In) can be found by dividing the open-circuit voltage (Voc) by the equivalent resistance (Req).

4. The Norton equivalent circuit will have a current source (In) in parallel with a resistor (Req).

Alternatively, you can also use Thevenin's theorem to find the Thevenin equivalent of the circuit, which is a voltage source in series with a resistor. To do this, follow these steps:

1. Determine the short-circuit current (Isc) of the circuit by removing all voltage sources and replacing them with short circuits. This will give you the current flowing through the output terminals.

2. Calculate the equivalent resistance (Req) of the circuit by removing all current sources and open-circuiting all voltage sources. This will give you the resistance seen from the output terminals.

3. The Thevenin equivalent voltage (Vth) can be found by multiplying the short-circuit current (Isc) by the equivalent resistance (Req).

4. The Thevenin equivalent circuit will have a voltage source (Vth) in series with a resistor (Req).

Both the Norton and Thevenin equivalent circuits will have the same behavior as the original circuit when connected to a load, but may be easier to work with for certain calculations. I hope this helps with your homework!