Question
Download Solution PDFNorton equivalent current source and corresponding resistance for the given circuit are respectively
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFNorton Equivalent Current Source and Resistance:
In electrical circuit analysis, the Norton equivalent of a network is a simplified representation that consists of a single current source (Norton current source, IN) in parallel with a single resistance (Norton resistance, RN). This simplification is especially useful for analyzing complex circuits and determining current through or voltage across specific components.
To calculate the Norton equivalent for a given circuit, the following steps are performed:
- Determine the Norton current (IN): This is the current through the terminals of the circuit when they are short-circuited.
- Determine the Norton resistance (RN): This is the equivalent resistance of the circuit seen from the terminals with all independent sources turned off (voltage sources shorted and current sources opened).
Let us now analyze the problem step-by-step and calculate the Norton equivalent current source and resistance for the given circuit.
Step 1: Norton Current (IN)
To find the Norton current, we need to short-circuit the output terminals of the given circuit and calculate the current through the short circuit. For the given problem, after performing the necessary circuit analysis (such as applying Ohm’s Law, Kirchhoff’s Voltage Law, or Kirchhoff’s Current Law), the value of the Norton current is found to be:
IN = 0.4 A
Step 2: Norton Resistance (RN)
The Norton resistance is determined by calculating the equivalent resistance of the circuit as seen from the output terminals with all independent sources turned off:
- Voltage sources: Replaced by short circuits.
- Current sources: Replaced by open circuits.
After simplifying the given circuit appropriately, the equivalent resistance is calculated to be:
RN = 10 Ω
Final Norton Equivalent:
The Norton equivalent circuit for the given circuit is:
- Norton current source (IN): 0.4 A
- Norton resistance (RN): 10 Ω
Thus, the correct answer is:
Option 1: 0.4 A, 10 Ω
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