How do you calculate the Norton equivalent resistance?
1 Answer
To calculate the Norton equivalent resistance of a linear electrical network, follow these steps:
Identify the linear network: Start by identifying the linear network for which you want to find the Norton equivalent resistance. The network could consist of resistors, independent current sources, independent voltage sources, and other linear components.
Disconnect all current sources: To find the Norton equivalent resistance, you need to treat the network as if it were connected to a current source. To do this, disconnect all the independent current sources in the network.
Short-circuit all voltage sources: Next, short-circuit all the independent voltage sources in the network. This means you replace each voltage source with a wire, effectively connecting the two nodes previously connected by the voltage source.
Find the equivalent resistance: With all current sources disconnected and all voltage sources short-circuited, the network will be left with resistors only. Now, the Norton equivalent resistance (R_N) is simply the equivalent resistance seen from the two terminals where the current source was connected.
You can use any applicable methods for finding the equivalent resistance of the network, such as series and parallel resistor combinations. The goal is to simplify the network to a single equivalent resistor (R_N).
Reconnect the current source: Once you've calculated the Norton equivalent resistance (R_N), reconnect the original current source to the network.
The Norton equivalent resistance (R_N) is the resistance value that would make the current source produce the same current in the simplified network as it did in the original network.
Keep in mind that the Norton equivalent circuit is a simplified representation of the original network, and it behaves similarly in terms of currents but differently in terms of voltages. It is useful for analyzing and solving complex circuits more easily.
Identify the linear network: Start by identifying the linear network for which you want to find the Norton equivalent resistance. The network could consist of resistors, independent current sources, independent voltage sources, and other linear components.
Disconnect all current sources: To find the Norton equivalent resistance, you need to treat the network as if it were connected to a current source. To do this, disconnect all the independent current sources in the network.
Short-circuit all voltage sources: Next, short-circuit all the independent voltage sources in the network. This means you replace each voltage source with a wire, effectively connecting the two nodes previously connected by the voltage source.
Find the equivalent resistance: With all current sources disconnected and all voltage sources short-circuited, the network will be left with resistors only. Now, the Norton equivalent resistance (R_N) is simply the equivalent resistance seen from the two terminals where the current source was connected.
You can use any applicable methods for finding the equivalent resistance of the network, such as series and parallel resistor combinations. The goal is to simplify the network to a single equivalent resistor (R_N).
Reconnect the current source: Once you've calculated the Norton equivalent resistance (R_N), reconnect the original current source to the network.
The Norton equivalent resistance (R_N) is the resistance value that would make the current source produce the same current in the simplified network as it did in the original network.
Keep in mind that the Norton equivalent circuit is a simplified representation of the original network, and it behaves similarly in terms of currents but differently in terms of voltages. It is useful for analyzing and solving complex circuits more easily.