To determine Find the Norton current and Norton resistance at terminals a-b of the circuit. Explanation In the given circuit, V Th = 0 V since there is no independent source in the circuit. Therefore, Norton resistance or Thevenin resistance only need to be find for the given circuit. To find the Norton resistance, apply a 1 A test source and calculate the voltage drop across the test source. The given circuit is redrawn as shown in Figure 1 to find the Norton resistance. Apply Kirchhoff’s current law at node v in Figure 1. v − 250 i x 500 + v 750 = 1.5 i x + 1 v 500 − 250 i x 500 + v 750 − 1.5 i x = 1 2 × 10 − 3 v − 0.5 i x + 1.3333 × 10 − 3 v − 1.5 i x = 1 3.3333 × 10 − 3 v − 2 i x = 1 (1) In Figure 1, the constraint equation is, i x = v 750 (2) Substitute equation (2) in equation (1). 3.3333 × 10 − 3 v − 2 ( v 750 ) = 1 3.3333 × 10 − 3 v − 2.6667 × 10 − 3 v = 1 6.666 × 10 − 4 v = 1 Rearrange the equation as follows, v = 1 6

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ISBN: 8220106795262

Author: Riedel

Publisher: YUZU

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Chapter 4, Problem 81P

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Find the Norton current and Norton resistance at terminals a-b of the circuit.

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Chapter 4, Problem 80P

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