Version 2 Final Exam: Physics 1B Spring 2012, Dr. Michelsen. You may not bring in anything written.
You will be given the following on the quiz:
You may find some of the following formulas and information useful:
G  6.67  1011 N-m 2 kg 2
g  9.8 m/s2
electron mass  9.11 1031 kg
proton charge  1.6  10 19 C
ke  8.99  109 N-m 2 C 2
0 
surface area of a sphere  4 r 2
4
volume of a sphere   r 3
3
x f  xi  vi t  at 2 / 2
torque: τ  r  F
E  Fe / q0  ke
q
 ri 2i rˆi
Fe  ke
 E  E A  4 ke qin 
i
V 
U

Q
B
A
Rtot  R1  R2
P
V (r )  k e
E  dr
E
  V  I
t
1
1
1


Rtot R1 R2
I ds  rˆ
dB(at P)  km
FB  qv  B
Ftotal  q  E  v  B 
area BdA
C
q1q2
r2
rˆ12
qin
0
Q 0 A

V
d
Ctot  C1  C2
1
1 Q2
2
U  C  V  
2
2 C
1
1
1


Ctot C1 C2
V  IR
FB  I l  B
B 
q
r
1
 8.85  1012 F/m
4 ke
r2
  V  
,
d B
dt
km  107 T-m/A,
x  y  x y sin 
0  4 k m  4  107 T-m/A
 around B  ds  0 Ithrough
V  Bv
You are expected to know Kirchoff’s laws, since they follow from simple conservation principles, and the
definition of current.
For this exam, you do not need to know I  nqvd A , nor do you need to know the magnetic dipole vector,
μ.