Quiz 4, Version 2: Physics 1B Spring 2012, Dr. Michelsen. You may not bring in anything written. You
will be given these formulas 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/s 2
ke  8.99  109 N-m 2 C2
proton charge  1.6  1019 C
surface area of a sphere  4 r 2
4
volume of a sphere   r 3
3
x f  xi  vi t  at 2 / 2
Fe  ke
E  ke
q
 ri 2i rˆi
q1q2
r2
electron mass  9.11  10 31 kg
U

Q
 E  E A  4 ke qin 
B
A
V (r )  k e
E  dr
Rtot  R1  R2
1
1
1


Rtot R1 R2
P   V  I
V  IR
I ds  rˆ
Fm  I l  B
dB(at P)  km
Fm  qv  B
Ftotal  q  E  v  B 
r2
,
q
r
1
4 0
E  Fe / q0
rˆ12
i
V 
ke 
C
qin
0
Q 0 A

d
V
Ctot  C1  C2
1
1 Q2
2
U  C  V  
2
2 C
1
1
1


Ctot C1 C2
km  107 T-m/A,
x  y  x y sin 
0  4  107 T-m/A
 around B  ds  0 Ithrough
You are expected to know Kirchoff’s laws, since they follow from simple conservation principles, and the
definition of current.
For this quiz, you do not need to know I  nqvd A , but it may appear on a future quiz.
For this quiz, you do not need to know the magnetic dipole vector, μ.