10Fall_hw03 - L = 3 k . Find the values of V L and I L...

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ECE210 - Fall 2010 - Homework 03 (Due: Sep 15, 2010 at 5 p.m.) 1. Show that the derivation of maximum power transfer on pages 60-62 produces a unique global maximum. 2. Sketch the v-i characteristics for the example 2.18 on page 59. What is the physical meaning of this plot? Could there be such devices? 3. Show that for example 2.18, maximum power is achieved when the load is the negative of the internal resistance. 4. (a) What value of load resistor R L , when connected to the terminals a - b of the circuit shown will absorb maximum power from the circuit? (b) What is the value of the max power under the conditions of (a) ? (c) Suppose instead that a load resistor of R L = 3 Ω is employed. What is the power absorbed by that resistor? Hint: It will be helpful to first solve for the Thevenin Eq. ckt. 2 Ω 4 V + - 7 Ω R T v T + - 2 Ω 4 A R L a a b b 1 Ω V x V y 5. Consider the op-amp circuit shown. (Assume that the op-amp is ideal.) (a) Let R
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Unformatted text preview: L = 3 k . Find the values of V L and I L under this condition. (b) Now let R L = 6 k . Find the values of V L and I L under this condition. +-V L R L 3 k +12 V-12 V 2 mA +-I L 6. Consider the op-amp circuit shown below. Assume that the op-amp is ideal. Find i L , the current through the load resistor R L . +-R L +12 V-12 V I L +-+12 V-12 V 2 V +-10 k 45 k 10 k 10 k 3 V +-V 1 V 2 Let R L = 2 k 7. In the following circuit the capacitor is fully discharged for t < . Determine the mathematical expressions for the capacitor voltage for the 3 time intervals shown. +-t (sec) I S ( t ) 1 2 I S ( t ) v C ( t ) C = 1 F 1 A v C ( t ) = , t < , < t < 2 , t > 2 8. Textbook problem 3.8 9. In the following circuit, determine v o ( t ) . +-+-+-v o ( t ) 1H i C ( t ) i L ( t ) v C v L 1 F cos( t ) V 2 cos( t ) V 1...
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