PHYSICS 489 - Week 25

PHYS 25.1 Damped, Forced Oscillations
Reading: Don't Panic Vol I pp 344-351
Homework: Ch. 18: Pr 4-6; Ex 5-7
Keywords: Viscous drag, Underdamped, Overdamped, Critical damping, Harmonic driving forces, Complimentary & particular solutions.

Learning Objectives:

At the end of this session the student will be able to:
  1. obtain and solve the differential equation when a damping force is included.
  2. obtain the differential equation when damping and an external driving force are included.
  3. solve the resulting differential equation and demonstrate resonant behavior for sinusoidally varying applied forces.

PHYS 25.2 Faraday's Law applied to RLC circuits
Reading: Don't Panic Vol II pp 250-253
Homework: Ch 12: Ex 4,5
Keywords: Homogeneous equation - Transient solution, Particular or Steady-State solution, Resonance.

Learning Objectives:

At the end of this session the student will be able to:
  1. apply Faraday's Law to RLC circuits driven by a sinusoidally varying voltage source.
  2. solve the resulting differential equation.
  3. combine the steady state and transient solutions using the initial conditions to determine all the constants in the solutions.
  4. discuss the frequency response of this system.

PHYS 25.3 Temperature and Heat
Reading: Don't Panic Vol III pp 1-5
Homework: Ch. 1: Pr 1,2,4; Ex 1-3
Keywords: Temperature scales, Thermal equilibrium - Zeroth Law, Linear expansion, Volume expansion, Heat.

Learning Objectives:

At the end of this session the student will be able to:
  1. define the Fahrenheit scale.
  2. convert between the three common temperature scales.
  3. use the empirical expression for linear expansion.
  4. calculate linear, area and volume expansions.
  5. use a qualitative definition of heat and the definition of specific heat to solve calorimetry problems.
  6. define heat of vaporization and heat of fusion and solve simple problems relating heat and temperature change when phase changes can occur.