10. The RLC Circuit
Objective: Use the oscilloscope to study the decay and oscillation of an RLC circuit
Background:
An RLC circuit is one in which a resistor, an inductor, and a capacitor are connected in series. If the initial potential
difference on th
6. The RC Time Constant
Objective: Learn basic operations of the oscilloscope and measure the time constant of an RC circuit
Background:
During discharge, the voltage on a capacitor connected to a resistor is given by
where
is the initial voltage and the
7. Magnetic Force on Current Wires
Objective: To verify the relation
!
! !
FI = IL ! B
for the force on a current wire in a magnetic field.
Theory:
The reading on an electronic scale (apparent weight) with a magnet placed on it
is modified when a current
9. Measurement of Magnetic Fields
Part 1: Magnetic field of a current carrying coil
Objective To verify the formula for the magnetic field of a current-carrying circular coil
Background The magnetic field at the center of an N-turn circular coil of radius
8. Measurement of e/m
Objective To measure charge over mass of electron
Background An electron moving perpendicularly to a uniform magnetic field
in a circle of radius given by
where
travels
is its velocity. If the electron has been accelerated from rest
Class Problem 23
(1) For the surface in a magnetic field with the normal
chosen, find
1.
2.
the normal component of the magnetic field
the magnetic flux
(2) A rectangular wire frame of dimensions 10cmx20cm is
in a uniform magnetic field of 4.00G in the x-
4. Capacitance
A. Objective: To determine the capacitance of the electrometer
B. Equipment setup: Refer to the diagram.
1. Source of Electric Charge: Connect the electrostatic power supply to a metallic sphere. Set
the voltage at 1000VDC.
2. Electrometer:
5. Simple Circuits
Objectives: Learn to build simple circuits and perform measurements of resistance,
current, and voltages
Part A Verification of Ohms law
Ohms states that for a resistor, the current is proportional to the voltage (potential
difference a
2. Electrostatics
Objectives To study the characteristics of charging processes using an electrometer.
Background
Electrometer Operation:
The electrometer can be used to
measure charges, although the
readings are in volts. We use two
electrically isolated
PHYS 196 Math Preparedness Problems
1. The electrical resistance of a metallic wire of length L and cross-sectional area A
L
where is the electrical resistivity of the metal.
A
Given that the electrical resistance of a copper
wire of length 5.0m and of
c
1. Scotch Tape Electricity
Objectives You will learn some basic facts of electricity including
1. Neutral objects can be charged up by charge transfer
2. There is mutual force of attraction between a charged and a neutral object
3. There are two kinds of
Solution to Homework 1
1. (a) 8.0nC
q 8.0 10 9
5.0 1010
19
e 1.6 10
(c) A has lost electrons. Electrons are transferred from A.
(b) no. of electrons transferred N
2. (a) no. of protons = 25
(b) no. of neutrons = 55-25 =30
(c) mass = 53 1.67 1027 kg 9.19
11
Linear dependence and independence
Definition: A finite set S = cfw_x1 , x2 , . . . , xm of vectors in Rn is said to be linearly dependent if there exist scalars (real numbers) c1 , c2 , . . . , cm , not all of which are 0, such that
c1 x1 + c2 x2 + .
Chapter 29: Magnetic Fields due to Currents
Chapter 29 is a difficult chapter for many students. Why is this so? Remembering back
to electrostatics, in deriving E-fields (over chapters 21, 22, 23), we used two methods to
determine the fields: Coulombs met
12
12.1
Basis and dimension of subspaces
The concept of basis
Example: Consider the set
1
2
0
,
.
,
S=
2
1
1
Then span(S) = R2 . (Exercise). In fact, any two of the elements of S span R2 . (Exercise).
So we can throw out any one of them, for example,
10
Subspaces
(Now, we are ready to start the course . . . .)
Definitions:
A linear combination of the vectors v1 , v2 , . . . , vm is any vector of the form c1 v1 +
c2 v2 + . . . + cm vm , where c1 , . . . , cm R.
A subset V of Rn is a subspace if, when
13
13.1
The rank-nullity (dimension) theorem
Rank and nullity of a matrix
Definition: The nullity of the matrix A is the dimension of the null space of A, and is
denoted by N (A). (This is to be distinguished from Null(A), which is a subspace; the nullity