16.Consider the circuit shown in Figure 7.1.2. Let I1, I2, and I3 be the currents through the capacitor, resistor, and inductor, respectively. Likewise, let V1, V2 and V3 be the corresponding voltage drops. The arrows denote the arbitrarily chosen directions in which currents and voltage drops will be taken to be positive. c.Use the current—voltage relation through each element in the circuit to obtain the equations (18) CV′1=I1,V2=RI2,LI′3=V3.

16.Consider the circuit shown in Figure 7.1.2. Let I1, I2, and I3 be the currents through the capacitor, resistor, and inductor, respectively. Likewise, let V1, V2 and V3 be the corresponding voltage drops. The arrows denote the arbitrarily chosen directions in which currents and voltage drops will be taken to be positive. c.Use the current—voltage relation through each element in the circuit to obtain the equations (18) CV′1=I1,V2=RI2,LI′3=V3.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 22EQ: 22. The networks in parts (a) and (b) of Figure 2.23 show two resistors coupled in series and in...

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