To determine Find the value of the variable resistor R o in the given circuit. Also find the value of the variable resistor R o that is adjusted until dissipating a power of 250 W by the resistor. Verify using PSPICE. Explanation Given data: Refer to Figure given in the textbook. The power dissipated by the variable resistor R o is, p = 250 W Calculation: The given circuit is modified as shown in Figure 1. In Figure 1, applying source transformation technique for the circuit and the modified circuit is shown in Figure 2. The voltage source is converted to current source using ohms law as follows, I = 200 25 = 8 A The source transformed circuit is shown in Figure 2. In Figure 2, the 25 ohms and 100 ohms resistor are connected in parallel. The equivalent resistance for the parallel combination is, 25 | | 100 = 25 × 100 25 + 100 = 20 Ω The modified circuit is shown in Figure 3. In Figure 3, applying source transformation technique for the circuit and the modified circuit is shown in Figure 4. The current source is converted to voltage source using ohms law as follows, V = 8 × 20 = 160 V The source transformed circuit is shown in Figure 4. In Figure 4, the 20 ohms and the 10 ohms resistor are connected in series. Therefore, the equivalent resistance for the series connection is, 20 Ω + 10 Ω = 30 Ω The modified circuit is shown in Figure 5. In Figure 5, the Thevenin resistance is determined by removing the variable resistor R o and the modified circuit is shown in Figure 6. In Figure 6, the current i x is, i x = 160 − 30 i x ( 30 + 20 ) i x = 160 − 30 i x 50 50 i x = 160 − 30 i x 50 i x + 30 i x = 160 The above equation becomes, i x = 2 A In Figure 6, the Thevenin voltage is, V Th = 30 i x + 20 i x Substitute 2 for i x in the above equation as follows, V Th = 30 ( 2 ) + 20 ( 2 ) = 100 V PSPICE simulation to find the Thevenin resistance: In Figure 1, the Thevenin resistance is determined by short circuiting the 200 V voltage source, and removing the load resistor and connecting a 1 V voltage across it. Draw the given circuit in PSPICE as shown in Figure 7. Provide the simulation settings as shown in Figure 8. Now run the simulation and the results will be displayed as shown in Figure 9 by enabling “Enable Bias Voltage Display” icon and “Enable Bias Current Display” icon. From Figure 9, the Thevenin resistance is, R Th = 1 133.3 × 10 − 3 { ∵ 1 m = 10 − 3 } = 7

10th Edition

ISBN: 9780133760033

Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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Chapter 4, Problem 88P

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Find the value of the variable resistor Ro in the given circuit. Also find the value of the variable resistor Ro that is adjusted until dissipating a power of 250 W by the resistor. Verify using PSPICE.

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Chapter 4, Problem 86P

Chapter 4, Problem 89P

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