PY212
SUMMER 2003
Prof.
Milos Steinhart
Study Guide for
Midterm Exam II
Tuesday August 5,
2003 1100-1300
bring a pencil/pen and B.U.
ID
Presented bellow is a detailed (though not exhaustive) list of what you are expected to know for each of the major topics to be covered on the exam.
Please note that the exams will test BOTH your understanding of the basic physical concepts AND your problem-solving skills. It will not test memorization; a formula sheet will be appended to the exam. A draft of the formula sheet is appended to this study guide.
You will be expected to know the definitions of relevant concepts, to give concise descriptions of physical laws, to derive relevant equations, and to discuss the various physical models presented in the lectures. You are also expected to master the problem-solving techniques in the discussion sections and the homework.
The exam will consist of 4 problems (each worth 20% of the total) and a set of multiple-choice questions (also worth 20% of the total). To receive a full credit, you must show all of your work. Try to be as clear as possible. Bear in mind that the instructor can see your ideas only through the material, which is written.
Calculators can be used during this exam.
Mathematical Concepts
Be able to …
Divide vector into components in orthogonal axes system, add and subtract vectors, calculate and understand the scalar and vector product of two vectors.
Use the basic goniometric functions: sin, cos, tan, cot
Calculate derivatives and integrals of simple functions of one variable.
Solve sets of linear equations, solve quadratic equations.
Plot graphs of simple functions and indicate slopes, intercepts and areas.
Electro-kinetics
Be able to …
Understand the concept of the electric current.
Understand the concept of the resistance.
Understand and use the Ohm’s law.
Understand the concept of the electric circuit and its topology.
Understand and use the Kirchhoff’s laws.
Understand the concept of transport of power transport through the electric circuit.
Construct a simple voltmeter or ammeter using a galvanometer.
Magnetism
Be able to …
Understand the concept of the magnetic field and induction.
Calculate the magnetic field produced by straight wires, wire loops, solenoids and toroids with currents.
Apply the Lorenz force formula.
Understand and calculate forces on wires with currents in magnetic field.
Understand the behavior of moving particles in electric and magnetic fields.
Understand the behavior of magnetic dipoles in magnetic field.
Understand the three main types of magnetic behavior of materials: diamagnetic, paramagnetic and ferromagnetic.
Electromagnetism
Be able to …
Understand the Faraday’s law and be able to apply it, at least in simple situations.
Understand the Lenz law and be able to apply it.
Understand the concept of self and mutual inductances.
Understand the counter EMF, counter torque and eddy currents.
Understand how a transformer works.
Understand the behavior of RC, RL and LC circuits after application of an external voltage.
PY212 SUMMER2 2003 ME-2
Formula Sheet
Electron’s charge and mass: e = -1.6 10-19 C; me = 9.1 10-31 kg
The electric current: The electric current density:
The Ohm’s law: Resistivity and conductivity:
Thermal behavior of resistivity: The electric power:
Kirchhoff’s laws:
Resistors in series and in parallel:
Biot-Savart law: Ampère’s law:
Magnetic force on an infinitesimal (dl) and finite (straight l) length of wire with current I:
Lorentz force on moving charged particle in electric and magnetic fields:
Magnetic dipole moment: Torque on magnetic dipole:
The magnetic flux: Faraday’s law:
The self-inductance of a coil with N loops: … of a solenoid N, A, l, mr:
Transformer:
Magnetic energy in inductor: The magnetic field energy density:
Time constant RC: Time constant RL: Thompson’s formula:
