10W-quiz-1-sol

10W-quiz-1-sol - ECE102 (Winter 2010), Quiz 1 Problem 1....

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Unformatted text preview: ECE102 (Winter 2010), Quiz 1 Problem 1. Find v x in the circuit below (5 pts).- + V x V x V 1 +- 1A 10V 20 10 20 10V Using Node voltage Method (see circuit): Node: v 1 v 1 10 20 + v 1 20 + v 1 v x 10 = 0 v 1 10 + v 1 + 2 v 1 2 v x = 0 2 v 1 v x = 5 Node: v x + v x v 1 10 1 = 0 v 1 + v x = 10 Solving the above two equations in two unknowns ( v 1 and v x ), gives v x = 25 V.- + V x +- 1A 10 B A 10 5V 1A Alternative Method: We can replace the subcircuit of the 10-V supply and two 20 resistors with its Thevenin equivalent between pints A and B (see circuit) with R T = 20 bardbl 20 = 10 and V T = (20 / 40) 10 = 5 V. Note that this combination of a voltage source and two resistors appear frequently in biasing transistors. Then, by KCL, a current of 1 A should flow in the circuit (see circuit) and by KVL, +20 i + 5 v x = 0 or v x = 25 V Problem 2. In the circuit below, with a fully discharged capacitor at t , switch S is closed at...
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10W-quiz-1-sol - ECE102 (Winter 2010), Quiz 1 Problem 1....

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