By J. David Irwin
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Extra info for A Brief Introduction to Circuit Analysis
3 mA. + 12V Figure E2. lmA Figure E2. 16 Find / s in the circuit in Fig. E2. l 6. 90 kfl + 60 kfl 30 kfl 3V Figure E2. 16 Problem-Solving Strategy Analyzing Circuits Containing a Single Source and a Series-Parallel Interconnection of Resistors Step 1. Systematically reduce the resistive network so that the resistance seen by the source is represented by a single resistor. Step 2. Determine the source current for a voltage source or the source voltage if a current source is present. Step 3. Expand the network, retracing the simplification steps, and apply Ohm' s law, KVL, KCL, voltage division, and current division to determine all currents and voltages in the network.
Following our approach with the single-loop circuit, we will begin with the simplest case and then generalize our analysis. Consider the circuit shown in Fig. 21. Here we have an independent current source in parallel with two resistors. Since all of the circuit elements are in parallel, the voltage v( t) appears across each of them. Furthermore, an examination of the circuit indicates that the current i( t) is into the upper node of the circuit and the currents i 1(t) and i 2 ( t) are out of the node.
Find V ad and V eb in the network in Fig. 6. 6 E2. f + 8V - e + 12 V - d ANSWER Find V bd in the circuit in Fig. E2. 7. 7 d V bd = 11 V. 14 Circuits used to explain Ohm's law. Before proceeding with the analysis of simple circuits, it is extremely important that we emphasize a subtle but very critical point. Ohm's law as defined by the equation V = IR refers to the relationship between the voltage and current as defined in Fig. 14a. If the direction of either the current or the voltage, but not both, is reversed, the relationship between the current and the voltage would be V = -IR.