Problem 13E

In Problems 10–13, find a system of differential equations and initial conditions for the currents in the networks given in the schematic diagrams (Figures 5.39–5.42 on page 297). Assume that all initial currents are zero. Solve for the currents in each branch of the network.

Figure 5.42 RLC network for Problem 13

PHY 184 Week 6 Notes-Currents and Resistance 10/3-10/6 The battery produces a constant voltage When closed the current is able to flow o Don’t forget only the electrons move In the absence of an electric field electrons move randomly within the conductor o When an electric field is applied electrons get an additional velocity called drift velocity It is 10 times slower than thermal velocity How is it almost instant then o Closing the current starts an electric field and sets the electrons in motion Charge Carriers Consider a conductor with cross section A and electric field E Suppose there are n positive carriers per unit volume, all evenly distributed in the same dV with drift velocity v