Question

Find the Norton equivalent of the circuit given below

• A. \(5A, 2\Omega\)
• B. \(2.5A, 2\Omega\)
• C. \(5A, 1\Omega\)
• D. \(2.5A, 1\Omega\)

Hint:

Norton = short circuit current + equivalent resistance.

Answer 1

The Correct Option is B

Concept: Norton equivalent:

• Norton current \(I_N\)

• Norton resistance \(R_N\)

Step 1: Find Norton resistance Deactivate source (short voltage source). Parallel combination: \[ R_N = \frac{2 \times 2}{2+2} = 1\Omega \]

Step 2: Find Norton current Short output terminals and find current.

Step 3: Current division Total current divides equally.

Step 4: Calculation \[ I_N = 2.5A \]

Step 5: Conclusion \[ \boxed{2.5A, 2\Omega} \]

Final Answer: \[ \boxed{(B)} \]