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20112ee10_1_hw1

20112ee10_1_hw1 - after the switch was closed it is found...

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EE10 Homework Set 1 Circuit Analysis I Wednesday, April 6, 2011 Instructor: Prof. Gupta Due: Wednesday, April 13, 2011 Part One: practice problems (you are not required to submit your solutions) 1. For the system considered in Fig.1-5(a), suppose both the voltage and capacitance vary with time according to the equation v = V 0 sin ω t and C = C 0 (1 - cos ω t ). What is the equation for the current in the circuit under these circumstances? 2. The voltage and charge in a certain linear capacitor are related by the equation q=Kv 1/3 . For this capacitor, compute the energy stored as a function of capacitor charge. 3. Use the dot convention to find the voltage on 3 coils in the following circuit. Assume mutual inductances are M. 4. Fig. P2-14 shows a network with elements arranged along the edges of a cube.(a) Determine the number of nodes and branches in the network. (b) Can the graph of this network be drawn as a planar graph? 5. Using two Kirchhoff laws and voltage-current relationship for the element. At time t
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Unformatted text preview: after the switch was closed, it is found that v 2 = +5V . You are required to determine the value of i 2 (t ) and di 2 (t )/dt 6. Find the voltage V y in the following circuit. 7. Show that the two magnetically coupled coils in Fig.P5 can be replaced by single coil having an inductance of L ab =( L 1 L 2-M 2 ) / ( L 1 + L 2 + 2 M) Part Two: questions (you are required to submit your solutions) Q1. Consider the network N1.(5 points) Q2. Assume that the v-I relationship for a device is given below. (5 points) Q3. Below is a model of a one transistor preamplifier that is used to amplify the output of a low- amplitude magnetic pickup and drive a 25kohm load. Express v L (t) measured across the load as a function of v s (t). (10 points) Q4. Consider the circuit below. (10 points) Note that the net power in a circuit must always be zero. Above problems shows this by example....
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