ECE 200 ? Spring 2010 ? HW 1 Instructor: M.C. Ozturk 1. Find the equivalent resistance between the nodes A and B in the circuits shown below. Assume all resistors are 10 k?. 2. Consider the circuits shown below. Assume all resistors are 10 k?. a. Find the voltage across the resistor, R x . b. Find the current flowing through the resistor, R x . Is the current flowing up or down? 3. Find the current, I in the circuits shown below. A B A B R x 9 V R x 9 V 9V 3V I 9V 3V I 2.2 K 4.7 K 6.8 K 3.3 K 1.2 K 9.1 K 4. Find the resistance of the non?linear elements with the I?V characteristics given below when the applied voltage, V 0 is +0.5 V and ?0.5 V. a. ? I= 0.02V 0 2 Afor for V 0 ?0 0 <0 ? ? ? b. ? I=3×10 ?6 ( ) exp? V resistor 0.025V ? ? ? ? ? ? A 5. In the circuit shown below a voltmeter measures the voltage between the nodes X and Y. In this problem, we have to consider the fact that every voltmeter has an internal resistance, which influences the circuit just like an ordinary resistor. Consequently, the voltage measured depends on the internal resistance of the voltmeter. a. Determine the voltage measured assuming the internal resistance of the voltmeter is i) zero, ii) 10 k?, iii) 100 k? and iv) 1 M?. b. Plot the voltage measured as a function of the voltmeter internal resistance. c. What would be the voltage if we had an open circuit between X and Y? d. What would be the voltage if we had a short circuit between X and Y? e. Based on your findings, should the internal resistance of a good voltmeter be small or large? 6. Repeat the previous problem for the circuit shown below. 9V 10 K voltmeter X Y 9V 10 K voltmeter X Y 10 K Mehmet Ozturk ECE 200 ? Spring 2010 ? HW 1
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