# Norton's Theorem and Thevenin's Theorem - Electrical Circuit Analysis | Summary and Q&A

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November 21, 2019
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The Organic Chemistry Tutor
Norton's Theorem and Thevenin's Theorem - Electrical Circuit Analysis

## TL;DR

Learn how to use Norton's Theorem to calculate the current in a load resistor by first finding Norton's resistance and then Norton's current.

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### Q: What is Norton's Theorem used for?

Norton's Theorem is used to calculate the current flowing through a load resistor in a circuit by creating an equivalent circuit with a Norton current source and resistance.

### Q: How is Norton's resistance calculated?

Norton's resistance is calculated by finding the equivalent resistance across two points in the circuit by replacing the independent voltage source with a short circuit, the independent current source with an open circuit, and disconnecting the load resistor.

### Q: How is Norton's current determined?

Norton's current is determined by performing a nodal analysis at the open terminal and assigning positive and negative values to the currents entering and leaving the junction. The voltage across resistors and Ohm's law are used to calculate the current values.

### Q: How is the current in the load resistor calculated using Norton's Theorem?

The current in the load resistor is calculated using a current divider equation with the Norton current and resistance. It is the Norton current multiplied by the load resistor resistance divided by the sum of Norton resistance and load resistor resistance.

## Summary & Key Takeaways

• Norton's Theorem is used to find the current flowing through a load resistor in a circuit.

• Calculate Norton's resistance by finding the equivalent resistance across two points in the circuit.

• Find Norton's current by performing a nodal analysis and using Ohm's law. Finally, calculate the current in the load resistor using a current divider equation.