9780199339136, Chapter 1, Problem 14P

Prévia do material em texto

Chapter 1, Problem 14P Step-by-step solution Step of 8 Thevenin equivalent of a circuit is a circuit which consists of a voltage source is in series with resistance. The series resistance is the equivalent resistance of the circuit and voltage source equal to the open circuit voltage across the output terminals. Refer to Figure P1.14 in the (a) Thevenin's Voltage across the terminal and 2 calculated as follows: Apply voltage division rule between to find the voltage between terminal and 2. =1.5 kΩ = 0.75 V Step of 8 Calculate Thevenin's resistance as follows: Short the voltage source and find the equivalent resistance across the terminals 1 and 2. = 1kQ+1kQ Therefore, the Thevenin's equivalent voltage is 0.75 V and Thevenin resistance Step of 8 Thevenin's equivalent circuit between terminals 1 and 2 is shown in Figure 1. 1 500£2 0.75 V 2 Figure 1 Step of 8 (b) Thevenin's Voltage across the terminals 2 and 3 is calculated as follows: Apply voltage division rule between terminal 2 and 3. =1.5 =0.75 V Step of 8 Calculate Thevenin's resistance as follows: Short the voltage source and find the equivalent resistance across the terminals 2 and 3. = Therefore, the Thevenin's equivalent voltage is 0.75 V and Thevenin resistance 500 Ω Step of 8 Thevenin's equivalent circuit between terminals 2 and 3 is shown in Figure 2 0.75 V 3 Figure 2 Step of 8 (c) Thevenin's Voltage across the terminal and 3 is calculated as follows: 1.5 V Calculate Thevenin's resistance as follows: Short the voltage source and find the equivalent resistance across the terminals 1 and 3. Since, the voltage source gets short the Rth is across and 3. Therefore, the Thevenin's equivalent voltage is 1.5 V and Thevenin resistance Rth IS Step of 8 The Thevenin's equivalent circuit between terminals 1 and 3 is shown in Figure 3. 1.5 03 Figure 3