Applied Mathematics I (500.303)


Homework Assignment 3

Due: Wednesday, October 3, 2001


  1. (Section 1.7)    A 30 volt electromotive force is applied to a series circuit in which the inductance is 0.1 henry and the resistance is 50 ohms.   Find the current i(t) if i(0) = 0.   Determine the current as t approaches infinity.

  1. (Section 1.7)   A 100 volt electromotive force is applied to a series circuit in which the resistance is 200 ohms and the capacitance is 0.0001 farad.   Find the charge q(t) on the capacitor if q(0) = 0.   Find the current i(t).

  1. (Section 2.12)   Consider an LC series circuit with L = 0.1 henry, C = 0.1 farad.   An electromotive force, E(t) = 120 sin kt volts, is applied.   Find the steady state current when k does not equal 10.   Explain why your solution would not apply when k = 10.

  1. (Section 2.12)   Consider an RLC series circuit with R = 10 ohms, L = 1/2 henry, C = 1/100 farad.   An electromotive force, E(t) = 150 volts, is applied.   Find q(t), the charge on the capacitor if q(0) = 1 and i(0) = 0.   What is the charge on the capacitor after a long time?

  1. Kreyszig problem 5.1.24
  2. Kreyszig problem 5.1.37
  3. Kreyszig problem 5.1.40
  4. Kreyszig problem 5.4.12
  5. Kreyszig problem 5.4.13
  6. Kreyszig problem 5.5.10
  7. Kreyszig problem 5.5.17