(Knight Chapter 31, Problem 63) What are the current passing through
the battery Ibat and the potential difference Vab between points a
and b when the switch in the figure below is (a) open, and (b) c
A positive charge +q is located at (0, d) in the xy plane.
a) How much work is needed to bring a second charge +3q from
infinity to the point P (0, +d)? (Assume potential energy
between two charges
VECTOR CALCULUS SUMMARY
LINE INTEGRAL: The notation
F dl means that at every point on
C
the curve C, evaluate the value of F dl and add up all values
from all the points on loop C by integration. The
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mA :d EMA 4 Jildlf' = 3!
5 A= 41"?
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6 =
Example: Vector and coordinate systems
j
Given the vector A 3i 2 k , express it in terms of cylindrical coordinates defined by the vector
A , i.e. express A a r r a a z z . You have to determine the u
Detailed Information on the Final Examination of PHYS1415
A. About the final examination:
(1) The final examination will make up 50% of your total marks, and is an important component of
the course.
(
Practice questions for PHYS1415 Midterm test (1 hour)
1. [15 points] Consider an electric dipole of two charges +q and q
separated at a distance d.
(a) Determine the dipoles electric potential energy
Updated on 12 Feb 2012
PHYS 1415 3:006:00 pm
Feb
Mon Tue Wed Thur
wk 25 13
Venue: Rm 104. Chong Yuet Ming physics building
Laboratory 1: Operation of a Cathode Ray Oscilloscope (CRO)
Group 1
Group 2
PHYS1415 General Physics II Midterm Test Suggested Solution
1.
(a) Define the concentric cubic Gaussian surface as S, using Gauss law, the
electric flux is related to the
PHYS 1415 General Physics II Spring 2012 Homework # 7 Solutions
1. (a) Express the magnetic field strength at P using the expression for B due to a
straight wire segment:
I
BP 0 sin 1 sin 2
4 R
where
PHYSICS 1415
GENERAL PHYSICS II
HOMEWORK 7
DUE DATE: April 30, 2012
All assignments must be returned to the Chong Yuet Ming Physics Building 1/F
assignment boxes before 2:00pm. NO LATE HOMEWORK WILL B
PHYS1415 General Physics II
Assignment 6 Solution (Spring 2012)
1. According to the problem, we can approximately use the infinite solenoid formula:
B 0 nI
a). I1 2.0 A, I 2 0 A
b). I1 2.0 A, I 2 1.5
PHYSICS 1415
GENERAL PHYSICS II
HOMEWORK 6
DUE DATE: April 16, 2012
All assignments must be returned to the Chong Yuet Ming Physics Building 1/F
assignment boxes before 2:00pm.
NO LATE HOMEWORK WILL B
PHYS1415 General Physics II
Assignment 5 Solution (Spring 2012)
1.(a) The current density of this cylinder is
I
r r22
To apply Ampere's law, we can treat the system as a round cylinder with no hole
th
PHYSICS 1415
HOMEWORK 5
GENERAL PHYSICS II
DUE DATE: April 2, 2012
All assignments must be returned to the Chong Yuet Ming Physics Building 1/F
assignment boxes before 2:00pm.
NO LATE HOMEWORK WILL BE
PHYS1415 General Physics II Spring 2012 Assignment #4 Solutions
1. Because the bar is a uniform conductor,
EL = V = 1.5 V
Then the electric field strength us E =1.5/2=0.75 V/m along the bar.
And henc
PHYSICS 1415
HOMEWORK 4
GENERAL PHYSICS II
DUE DATE: March 19, 2012
All assignments must be returned to the Chong Yuet Ming Physics Building
1/F assignment boxes before March 19, 2012 (Monday) 2:00pm.
PHYS1415 General Physics II
HOMEWORK 3 Solution (Spring 2012)
1. Utilizing Gauss' Law in the neighborhood of each surface with the knowledge that
electric field equals zero within metal in equilibrium
HW3
Problem 1
Use the Green theorem to evaluate the following line integral:
x
2
y 2 dx 4 x 2 dy
C
where C is a closed loop of the perimeter
R ( x , y )  x 2, 0 y 2 in an anticlockwise sense.
of
th
HW3
Problem 1
Use the Green theorem to evaluate the following line integral:
x
2
y 2 dx 4 x 2 dy
C
where C is a closed loop of the perimeter
R ( x , y )  x 2, 0 y 2 in an anticlockwise sense.
of
th
PHYSICS 1415 GENERAL PHYSICS II
HOMEWORK 3
DUE DATE: March 2, 2012
All assignments must be returned to the Chong Yuet Ming Physics Building
1/F assignment boxes before 2:00pm on 2012 March 2 (Friday).
PHYS1415 General Physics II HOMEWORK 2 Solution (2012 Spring)
1. (a) In cylindrical coordinates,
dl drr rd dzz
r=A, dr=0, dz=0,
For the loop C,
(i)
For F (r 3 ) / 2r 2 ,
(ii)
For F k sin( / 3) ,
(b) F
PHYS1316 Assignment 2:Line, Surface, and Volume integrals
Problem 1
The work done of a particle under a force field F along a path C is given by
F dr.
C
Find the work done in moving a particle in the
PHYS1316 Assignment 2
Problem 1
The work done of a particle under a force field F along a path C is given by
F dr.
C
Find the work done in moving a particle in the force field
F 3x 2 i 2 xz y j zk
al
PHYS1415 General Physics II HOMEWORK 1 Solution (2012 Spring)
1.
(a) From
  
,
 
(
)
()
(
 
(
)
()
()
)
)
Then we get
(
) (
  
so
(
)
(b)
Since
 
, so
Since
 
, so
(C)


Then the
Problem 1
Find the gradients of the following functions:
(a) ( x, y , z ) x 2 y 2 z 2
(b) ( x, y , z ) exp( x y ) cos z
Solution 1
(a)
2
2
2
grad i
x j y k z ( x y z )
i
( x 2 y 2 z 2 ) j
(x2 y2 z2