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ECE 2201 – CIRCUIT ANALYSIS I HOMEWORK #8 1. For the circuit shown, calculate the Thévenin equivalent resistance with respect to terminals a and b. vS2= iX R3 = 30[] a + R1 = 10[] iX R2 = 20[] iS1= 5iX + - - R4 = 40[] vS1= 100[V] b PEQWS Module 4 Problem 1 2. For the circuit shown, find the Thévenin equivalent circuit with respect to terminals a and b. Draw the Thévenin equivalent circuit. On the drawing, clearly show the terminals a and b, the value of the circuit elements, and the reference voltage for the Thévenin voltage source. iS1= 10iX + - vS1= 100[V] R1 = 10[] R3 = 40[] a R5 = 100[] R4 = 50[] iX b PEQWS Module 4 Problem 2 R2 = 20[] iS2= 10[A] 3. a) Find the Norton equivalent as seen by the 22[k] resistor. b) Attach the Norton equivalent that you found, to the 22[k] resistor. Use this circuit to solve for iQ. iX R1= 10[k] + - vS1= 100[V] iS1= 10iX R2= 33[k] iQ PEQWS Module 4 Problem 3 8.2 R3= 22[k] R4= 18[k] iS2= 12[mA] 4. The device in Figure 1 can be modeled with a voltage source in series with a resistance. The current and voltage for the device are related as shown in the plot in Figure 2. The device has been connected in a circuit shown in Figure 3. Find iX. PEQWS Module 4 Problem 4 A iT in [mA] + 5 vT Device -2 2 0 vT in [V] iT - -5 B Figure 1 Figure 2 iX A R1= 1[k] Device + - B vS1= 7[V] R2= 1.8[k] Figure 3 8.3 iS1= 8[mA] 5. For the circuit shown, find the Thévenin equivalent circuit as seen with respect to terminals a and b. Draw the equivalent circuit that you found. On this equivalent circuit you have drawn, show the values for the circuit components, and label terminals a and b. R1 = 10[] R3 = + 40[] vS1= 100[V] R2 = 20[] a iS = 10[A] iX R4 = 50[] - b 8.4 vS2= + 200[]iX - Selected Numerical Solutions: 1-4. Solutions omitted here. 5. vTH = -2000[V] (sign depends on polarity of source with respect to terminals), RTH = -200[] 8.5