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Model Answer of the Following Questions: Question No. (1) (5 marks) (1-A) (2.5 marks) The variable resistor in the circuit shown in Figure (1-A) is adjusted for maximum power transfer to Ro. (a) Find the value of Ro. (b) Find the maximum power that can be delivered to Ro. (c) Find the percentage of the total power developed in the circuit that is delivered to Ro. Figure (1-A) Question (1) Solution: 1-16 2-16 3-16 (1-B) Use the principle of superposition to find the following: (a) The voltage v in the circuit shown in Figure (1-B). (b) The power dissipated in the 20 resistor Figure (1-B) Question (1) Solution: 4-16 (2.5 marks) 5-16 Question No. (2) (9 marks) (2-A) (2 marks) For the circuit shown in Figure (2-A), use the concept of voltage division to find the steady state expression of vo. vg= 75 cos 5000t V Figure (2-A) Question (2) Solution: 6-16 (2-B) (3 marks) Find the Thevenin equivalent circuit with respect to the terminals a, b for the circuit shown in Figure (2-B). Figure (2-C) Question (2) Solution: 7-16 8-16 (2-C) (3 marks) Use the node-voltage method to find the branch currents ia and ib in the circuit shown in Figure (2-C). va= 100 sin 10000t V vb= 500 cos 10000t V Figure (2-C) Question (2) Solution: 9-16 10-16 (2-D) (3 marks) For the circuit shown in Figure (2-D), use the mesh-current method to find the steady state expression of the current io. va= 8 cos 40000t V vb= 90 sin (40000t + 180) V Figure (2-D) Question (2) Solution: 11-16 Question No. (3) (6 marks) (3-A) (3 marks) For the circuit shown in Figure (3-A), (a) Calculate the total average and reactive power delivered to each impedance in the circuit shown in Figure (3-A). (b) Calculate the average and reactive power associated with each source in the circuit. (c) Verify that the average power delivered equals the average power absorbed, and that the magnetizing reactive power delivered equals the magnetizing reactive power absorbed. Figure (3-A) Question (3) Solution: 12-16 13-16 14-16 15-16 (3-B) (3 marks) For the circuit shown in Figure (3-A), find the following: (a) Find the average power dissipated in the line in Figure (3). (b) Find the capacitive reactance that when connected in parallel with the load will make the load look purely resistive. (c) What is the equivalent impedance of the load in (b)? (d) Find the average power dissipated in the line when the capacitive reactance is connected across the load. Figure (3-B) Question (3) Solution: 16-16