Electricity and Magnetism Full-Length Practice Paper 1 Questions | AP Physics C Electricity and Magnetism - Grade 9 PDF Download

 Page 1


AP Physics C: Electricity and Magnetism Practice Test 1
Page 2


AP Physics C: Electricity and Magnetism Practice Test 1
GO ON TO THE NEXT PAGE.
Section I
  
ADV ANCED PLACEMENT PHYSICS C TABLE OF INFORMATION
CONSTANTS AND CONVERSION FACTORS
Proton mass,
Neutron mass,
Electron mass,
Avogadro’s number,
Universal gas constant,
Boltzmann’s constant,
m
p
 = 1.67 × 10
–27
 kg
m
n
 = 1.67 × 10
–27
 kg
m
e
 = 9.11 × 10
–31
 kg
N
A
 = 6.02 × 10
23
 mol
–1
R = 8.31 J/(mol K)
k
B
 = 1.38 × 10
–23
 J/K
Electron charge magnitude,
1 electron volt,
Speed of light,
Universal gravitational constant,
Acceleration due to gravity 
at Earth’s surface,
e  = 1.60 × 10
–19
 C
1 eV = 1.60 × 10
–19
 J
c = 3.00 × 10
8
 m/s
G = 6.67 × 10
–11
 (N•m
2
)/kg
2
g = 9.8 m/s
2
1 unified atomic mass unit,
Planck’s constant,
Vacuum permittivity,
Coulomb’s law constant,
Vacuum permeability,
Magnetic constant,
1 atmosphere pressure,
1 u = 1.66 × 10
–27
 kg = 931 MeV/c
2
h = 6.63 × 10
–34
 J•s = 4.14 × 10
–15
 eV•s
hc = 1.99 × 10
–25
 J•m = 1.24 × 10
3
 eV•nm
e
0
 = 8.85 × 10
–12
 C
2
/(N•m
2
)
k = 1/(4pe
0
) = 9.0 × 10
9
 (N•m
2
)/C
2
m
0
 = 4p × 10
–7
 (T•m)/A
k' = m
0
/(4p) = 1 × 10
–7
 (T•m)/A
1 atm = 1.0 × 10
5
 N/m
2
 = 1.0 × 10
5
 Pa
UNIT 
SYMBOLS
meter, m mole, mol watt, W farad, F
kilogram, kg hertz, Hz coulomb, C tesla, T
second, s newton, N volt, V degree Celsius, °C
ampere, A pascal, Pa ohm, W electron volt, eV
kelvin, K joule, J henry, H
V ALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES
q 0° 30° 37° 45° 53° 60° 90°
sinq 0 1/2 3/5 22 / 4/5 32 / 1
cosq 1 32 / 4/5 22 / 3/5 1/2 0
tanq 0 33 / 3/4 1 4/3 3 ¥
PREFIXES
Factor Prefix Symbol
10
9
giga G
10
6
mega M
10
3
kilo k
10
–2
centi c
10
–3
milli m
10
–6
micro m
10
–9
nano n
10
–12
pico p
   
The following assumptions are used in this exam.
 I. The frame of reference of any problem is inertial unless otherwise 
stated.
 II. The direction of current is the direction in which positive charges 
would drift.
 III. The electric potential is zero at an infinite distance from an isolated 
point charge.
 IV . All batteries and meters are ideal unless otherwise stated.
 V . Edge effects for the electric field of a parallel plate capacitor are 
negligible unless otherwise stated.
Page 3


AP Physics C: Electricity and Magnetism Practice Test 1
GO ON TO THE NEXT PAGE.
Section I
  
ADV ANCED PLACEMENT PHYSICS C TABLE OF INFORMATION
CONSTANTS AND CONVERSION FACTORS
Proton mass,
Neutron mass,
Electron mass,
Avogadro’s number,
Universal gas constant,
Boltzmann’s constant,
m
p
 = 1.67 × 10
–27
 kg
m
n
 = 1.67 × 10
–27
 kg
m
e
 = 9.11 × 10
–31
 kg
N
A
 = 6.02 × 10
23
 mol
–1
R = 8.31 J/(mol K)
k
B
 = 1.38 × 10
–23
 J/K
Electron charge magnitude,
1 electron volt,
Speed of light,
Universal gravitational constant,
Acceleration due to gravity 
at Earth’s surface,
e  = 1.60 × 10
–19
 C
1 eV = 1.60 × 10
–19
 J
c = 3.00 × 10
8
 m/s
G = 6.67 × 10
–11
 (N•m
2
)/kg
2
g = 9.8 m/s
2
1 unified atomic mass unit,
Planck’s constant,
Vacuum permittivity,
Coulomb’s law constant,
Vacuum permeability,
Magnetic constant,
1 atmosphere pressure,
1 u = 1.66 × 10
–27
 kg = 931 MeV/c
2
h = 6.63 × 10
–34
 J•s = 4.14 × 10
–15
 eV•s
hc = 1.99 × 10
–25
 J•m = 1.24 × 10
3
 eV•nm
e
0
 = 8.85 × 10
–12
 C
2
/(N•m
2
)
k = 1/(4pe
0
) = 9.0 × 10
9
 (N•m
2
)/C
2
m
0
 = 4p × 10
–7
 (T•m)/A
k' = m
0
/(4p) = 1 × 10
–7
 (T•m)/A
1 atm = 1.0 × 10
5
 N/m
2
 = 1.0 × 10
5
 Pa
UNIT 
SYMBOLS
meter, m mole, mol watt, W farad, F
kilogram, kg hertz, Hz coulomb, C tesla, T
second, s newton, N volt, V degree Celsius, °C
ampere, A pascal, Pa ohm, W electron volt, eV
kelvin, K joule, J henry, H
V ALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES
q 0° 30° 37° 45° 53° 60° 90°
sinq 0 1/2 3/5 22 / 4/5 32 / 1
cosq 1 32 / 4/5 22 / 3/5 1/2 0
tanq 0 33 / 3/4 1 4/3 3 ¥
PREFIXES
Factor Prefix Symbol
10
9
giga G
10
6
mega M
10
3
kilo k
10
–2
centi c
10
–3
milli m
10
–6
micro m
10
–9
nano n
10
–12
pico p
   
The following assumptions are used in this exam.
 I. The frame of reference of any problem is inertial unless otherwise 
stated.
 II. The direction of current is the direction in which positive charges 
would drift.
 III. The electric potential is zero at an infinite distance from an isolated 
point charge.
 IV . All batteries and meters are ideal unless otherwise stated.
 V . Edge effects for the electric field of a parallel plate capacitor are 
negligible unless otherwise stated.
   
Section I
MECHANICS ELECTRICITY AND MAGNETISM
v
x
 = v
x0
 + a
x
t
x = x
0
 + v
x0
t + 
1
2
a
x
t
2
vv ax x
xx x
2
0
2
0
2 =+ () -

 
a
F
m
F
m
net
==
S
F
dp
dt

 
=
JFdt p
 

==
?
?
??
pmv =

FF
fN
=µ
DEW Fdr == ·
?
?
?
K =
 
1
2
mv
2
P
dE
dt
=
PF v = ·
?
?
DU
g
 = mgDh
a
v
r
r
c
==
2
2
?
? ?
?
t× =rF
?
? ?
a
St t
==
II
net
Ir dm mr ==
?
22
S
x
mx
m
cm
ii
i
=
S
S
v = r?
?
?? ?
Lr pI == × ?
K =
 
1
2
I?
2
? = ?
0
 + at
q = q
0
 + ?
0
t + 
1
2
at
2
a  =  acceleration
E  =  energy
F  =  force
f  =  frequency
h  =  height
I  =  rotational inertia
J  =  impulse
K  =  kinetic energy
k  =  spring constant
l  =  length
L  =  angular momentum
m  =  mass
P  =  power
p  =  momentum
r  =  radius or distance
T  =  period
t  =  time
U  =  potential energy
v  =  velocity or speed
W  =  work done on a system
x  =  position
m  =  coefficient of friction
q  =  angle
t  =  torque
? = angular speed
a  =  angular acceleration
f  =  phase angle
?
?
Fk x
S
=- ?
U
S
 = 
1
2
k(Dx)
2
x = x
max
cos(?t + f)
T
f
==
21 p
?
T
m
k
S
= 2p
T
g
P
= 2p
l
?
F
Gmm
r
G
=
12
2
U
Gmm
r
G
=
12
?
F
qq
r
E
=
1
4
0
12
2
pe
?
?
E
F
q
E
=
EdA
Q
·=
?
e
0
E
dV
dx
x
=-
?- VE dr = ·
?
  
V
q
r
i
i
i
=
?
1
4
0
pe
UqV
qq
r
E
==
1
4
0
12
pe
?V
Q
C
=
C
A
d
=
?e
0
CC
pi
i
=
?
11
CC
si
i
=
?
I
dQ
dt
=
U
C
 = 
1
2
QDV = 
1
2
C(DV)
2
R
A
=
? l
??
EJ = ?
I = Nev
d 
A
I
V
R
=
?
RR
si
i
=
?
11
RR
pi
i
=
?
P = IDV
A  =  area
B  =  magnetic field
C  =  capacitance
d  =  distance
E  =  electric field
e  =  emf
F  =  force
I  =  current
J  =  current density
L  =  inductance
l  =  length
n  =   number of loops of 
 wire per unit length
N  =   number of charge  
 carriers per unit  
 volume
P  =  power
Q  =  charge
q  =  point charge
R  =  resistance
r  =  radius or distance
t  =  time
U  =   potential or stored  
 energy
V  =  electric potential
v  =  velocity or speed
r  =  resistivity
F  =  flux
k  =  dielectric constant
?
?
?
FqvB
M
=×
Bd I ·=
?
µ
0
dB
Id r
r



=
µ
0
2
4p
× 
  
FIdB =
?
×
B
S
 = m
0
nI
F
B
BdA =·
?
? ?
e-
F
=· =
?
Ed
d
dt
B
e- = L
dI
dt
U
L
 = 
1
2
LI
2
GO ON TO THE NEXT PAGE.
Page 4


AP Physics C: Electricity and Magnetism Practice Test 1
GO ON TO THE NEXT PAGE.
Section I
  
ADV ANCED PLACEMENT PHYSICS C TABLE OF INFORMATION
CONSTANTS AND CONVERSION FACTORS
Proton mass,
Neutron mass,
Electron mass,
Avogadro’s number,
Universal gas constant,
Boltzmann’s constant,
m
p
 = 1.67 × 10
–27
 kg
m
n
 = 1.67 × 10
–27
 kg
m
e
 = 9.11 × 10
–31
 kg
N
A
 = 6.02 × 10
23
 mol
–1
R = 8.31 J/(mol K)
k
B
 = 1.38 × 10
–23
 J/K
Electron charge magnitude,
1 electron volt,
Speed of light,
Universal gravitational constant,
Acceleration due to gravity 
at Earth’s surface,
e  = 1.60 × 10
–19
 C
1 eV = 1.60 × 10
–19
 J
c = 3.00 × 10
8
 m/s
G = 6.67 × 10
–11
 (N•m
2
)/kg
2
g = 9.8 m/s
2
1 unified atomic mass unit,
Planck’s constant,
Vacuum permittivity,
Coulomb’s law constant,
Vacuum permeability,
Magnetic constant,
1 atmosphere pressure,
1 u = 1.66 × 10
–27
 kg = 931 MeV/c
2
h = 6.63 × 10
–34
 J•s = 4.14 × 10
–15
 eV•s
hc = 1.99 × 10
–25
 J•m = 1.24 × 10
3
 eV•nm
e
0
 = 8.85 × 10
–12
 C
2
/(N•m
2
)
k = 1/(4pe
0
) = 9.0 × 10
9
 (N•m
2
)/C
2
m
0
 = 4p × 10
–7
 (T•m)/A
k' = m
0
/(4p) = 1 × 10
–7
 (T•m)/A
1 atm = 1.0 × 10
5
 N/m
2
 = 1.0 × 10
5
 Pa
UNIT 
SYMBOLS
meter, m mole, mol watt, W farad, F
kilogram, kg hertz, Hz coulomb, C tesla, T
second, s newton, N volt, V degree Celsius, °C
ampere, A pascal, Pa ohm, W electron volt, eV
kelvin, K joule, J henry, H
V ALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES
q 0° 30° 37° 45° 53° 60° 90°
sinq 0 1/2 3/5 22 / 4/5 32 / 1
cosq 1 32 / 4/5 22 / 3/5 1/2 0
tanq 0 33 / 3/4 1 4/3 3 ¥
PREFIXES
Factor Prefix Symbol
10
9
giga G
10
6
mega M
10
3
kilo k
10
–2
centi c
10
–3
milli m
10
–6
micro m
10
–9
nano n
10
–12
pico p
   
The following assumptions are used in this exam.
 I. The frame of reference of any problem is inertial unless otherwise 
stated.
 II. The direction of current is the direction in which positive charges 
would drift.
 III. The electric potential is zero at an infinite distance from an isolated 
point charge.
 IV . All batteries and meters are ideal unless otherwise stated.
 V . Edge effects for the electric field of a parallel plate capacitor are 
negligible unless otherwise stated.
   
Section I
MECHANICS ELECTRICITY AND MAGNETISM
v
x
 = v
x0
 + a
x
t
x = x
0
 + v
x0
t + 
1
2
a
x
t
2
vv ax x
xx x
2
0
2
0
2 =+ () -

 
a
F
m
F
m
net
==
S
F
dp
dt

 
=
JFdt p
 

==
?
?
??
pmv =

FF
fN
=µ
DEW Fdr == ·
?
?
?
K =
 
1
2
mv
2
P
dE
dt
=
PF v = ·
?
?
DU
g
 = mgDh
a
v
r
r
c
==
2
2
?
? ?
?
t× =rF
?
? ?
a
St t
==
II
net
Ir dm mr ==
?
22
S
x
mx
m
cm
ii
i
=
S
S
v = r?
?
?? ?
Lr pI == × ?
K =
 
1
2
I?
2
? = ?
0
 + at
q = q
0
 + ?
0
t + 
1
2
at
2
a  =  acceleration
E  =  energy
F  =  force
f  =  frequency
h  =  height
I  =  rotational inertia
J  =  impulse
K  =  kinetic energy
k  =  spring constant
l  =  length
L  =  angular momentum
m  =  mass
P  =  power
p  =  momentum
r  =  radius or distance
T  =  period
t  =  time
U  =  potential energy
v  =  velocity or speed
W  =  work done on a system
x  =  position
m  =  coefficient of friction
q  =  angle
t  =  torque
? = angular speed
a  =  angular acceleration
f  =  phase angle
?
?
Fk x
S
=- ?
U
S
 = 
1
2
k(Dx)
2
x = x
max
cos(?t + f)
T
f
==
21 p
?
T
m
k
S
= 2p
T
g
P
= 2p
l
?
F
Gmm
r
G
=
12
2
U
Gmm
r
G
=
12
?
F
qq
r
E
=
1
4
0
12
2
pe
?
?
E
F
q
E
=
EdA
Q
·=
?
e
0
E
dV
dx
x
=-
?- VE dr = ·
?
  
V
q
r
i
i
i
=
?
1
4
0
pe
UqV
qq
r
E
==
1
4
0
12
pe
?V
Q
C
=
C
A
d
=
?e
0
CC
pi
i
=
?
11
CC
si
i
=
?
I
dQ
dt
=
U
C
 = 
1
2
QDV = 
1
2
C(DV)
2
R
A
=
? l
??
EJ = ?
I = Nev
d 
A
I
V
R
=
?
RR
si
i
=
?
11
RR
pi
i
=
?
P = IDV
A  =  area
B  =  magnetic field
C  =  capacitance
d  =  distance
E  =  electric field
e  =  emf
F  =  force
I  =  current
J  =  current density
L  =  inductance
l  =  length
n  =   number of loops of 
 wire per unit length
N  =   number of charge  
 carriers per unit  
 volume
P  =  power
Q  =  charge
q  =  point charge
R  =  resistance
r  =  radius or distance
t  =  time
U  =   potential or stored  
 energy
V  =  electric potential
v  =  velocity or speed
r  =  resistivity
F  =  flux
k  =  dielectric constant
?
?
?
FqvB
M
=×
Bd I ·=
?
µ
0
dB
Id r
r



=
µ
0
2
4p
× 
  
FIdB =
?
×
B
S
 = m
0
nI
F
B
BdA =·
?
? ?
e-
F
=· =
?
Ed
d
dt
B
e- = L
dI
dt
U
L
 = 
1
2
LI
2
GO ON TO THE NEXT PAGE.
  
Section I
GEOMETRY AND TRIGONOMETRY CALCULUS
Rectangle
A = bh
Triangle
A = 
1
2
bh
Circle
A = pr
2
C = 2pr
s = rq
Rectangular Solid
V = lwh
Cylinder
V = pr
2
l
S = 2pr l + 2pr
2
Sphere
V =
 
4
3
pr
3
S = 4pr
2
Right Triangle
a
2
 + b
2
 = c
2
sinq = 
a
c
cosq = 
b
c
tanq = 
a
b
A  =  area
C  =  circumference
V  =  volume
S  =  surface area
b  =  base
h  =  height
l  =  length
w  =  width
r  =  radius
s  =  arc length
q  =  angle
df
dx
df
du
du
dx
=
d
dx
xnx
nn
()=
-1
d
dx
eae
ax ax
() =
d
dx
ax
x
(ln) =
1
d
dx
ax aax [sin()]cos() =
d
dx
ax aax [cos()]sin() =-
xdx
n
xn
nn
=
+
+
?
1
1
1
1
, ?-
edx
a
e
ax ax
=
?
1
dx
xa
xa
+
=+
?
ln
cos( )sin() ax dx
a
ax =
?
1
sin( )cos() ax dx
a
ax =
?
-
1
VECTOR PRODUCTS
? ?
AB AB ·= cos?
? ?
AB AB ×= sin?
r
x
?
c
b
a
90°
?
GO ON TO THE NEXT PAGE.
Page 5


AP Physics C: Electricity and Magnetism Practice Test 1
GO ON TO THE NEXT PAGE.
Section I
  
ADV ANCED PLACEMENT PHYSICS C TABLE OF INFORMATION
CONSTANTS AND CONVERSION FACTORS
Proton mass,
Neutron mass,
Electron mass,
Avogadro’s number,
Universal gas constant,
Boltzmann’s constant,
m
p
 = 1.67 × 10
–27
 kg
m
n
 = 1.67 × 10
–27
 kg
m
e
 = 9.11 × 10
–31
 kg
N
A
 = 6.02 × 10
23
 mol
–1
R = 8.31 J/(mol K)
k
B
 = 1.38 × 10
–23
 J/K
Electron charge magnitude,
1 electron volt,
Speed of light,
Universal gravitational constant,
Acceleration due to gravity 
at Earth’s surface,
e  = 1.60 × 10
–19
 C
1 eV = 1.60 × 10
–19
 J
c = 3.00 × 10
8
 m/s
G = 6.67 × 10
–11
 (N•m
2
)/kg
2
g = 9.8 m/s
2
1 unified atomic mass unit,
Planck’s constant,
Vacuum permittivity,
Coulomb’s law constant,
Vacuum permeability,
Magnetic constant,
1 atmosphere pressure,
1 u = 1.66 × 10
–27
 kg = 931 MeV/c
2
h = 6.63 × 10
–34
 J•s = 4.14 × 10
–15
 eV•s
hc = 1.99 × 10
–25
 J•m = 1.24 × 10
3
 eV•nm
e
0
 = 8.85 × 10
–12
 C
2
/(N•m
2
)
k = 1/(4pe
0
) = 9.0 × 10
9
 (N•m
2
)/C
2
m
0
 = 4p × 10
–7
 (T•m)/A
k' = m
0
/(4p) = 1 × 10
–7
 (T•m)/A
1 atm = 1.0 × 10
5
 N/m
2
 = 1.0 × 10
5
 Pa
UNIT 
SYMBOLS
meter, m mole, mol watt, W farad, F
kilogram, kg hertz, Hz coulomb, C tesla, T
second, s newton, N volt, V degree Celsius, °C
ampere, A pascal, Pa ohm, W electron volt, eV
kelvin, K joule, J henry, H
V ALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES
q 0° 30° 37° 45° 53° 60° 90°
sinq 0 1/2 3/5 22 / 4/5 32 / 1
cosq 1 32 / 4/5 22 / 3/5 1/2 0
tanq 0 33 / 3/4 1 4/3 3 ¥
PREFIXES
Factor Prefix Symbol
10
9
giga G
10
6
mega M
10
3
kilo k
10
–2
centi c
10
–3
milli m
10
–6
micro m
10
–9
nano n
10
–12
pico p
   
The following assumptions are used in this exam.
 I. The frame of reference of any problem is inertial unless otherwise 
stated.
 II. The direction of current is the direction in which positive charges 
would drift.
 III. The electric potential is zero at an infinite distance from an isolated 
point charge.
 IV . All batteries and meters are ideal unless otherwise stated.
 V . Edge effects for the electric field of a parallel plate capacitor are 
negligible unless otherwise stated.
   
Section I
MECHANICS ELECTRICITY AND MAGNETISM
v
x
 = v
x0
 + a
x
t
x = x
0
 + v
x0
t + 
1
2
a
x
t
2
vv ax x
xx x
2
0
2
0
2 =+ () -

 
a
F
m
F
m
net
==
S
F
dp
dt

 
=
JFdt p
 

==
?
?
??
pmv =

FF
fN
=µ
DEW Fdr == ·
?
?
?
K =
 
1
2
mv
2
P
dE
dt
=
PF v = ·
?
?
DU
g
 = mgDh
a
v
r
r
c
==
2
2
?
? ?
?
t× =rF
?
? ?
a
St t
==
II
net
Ir dm mr ==
?
22
S
x
mx
m
cm
ii
i
=
S
S
v = r?
?
?? ?
Lr pI == × ?
K =
 
1
2
I?
2
? = ?
0
 + at
q = q
0
 + ?
0
t + 
1
2
at
2
a  =  acceleration
E  =  energy
F  =  force
f  =  frequency
h  =  height
I  =  rotational inertia
J  =  impulse
K  =  kinetic energy
k  =  spring constant
l  =  length
L  =  angular momentum
m  =  mass
P  =  power
p  =  momentum
r  =  radius or distance
T  =  period
t  =  time
U  =  potential energy
v  =  velocity or speed
W  =  work done on a system
x  =  position
m  =  coefficient of friction
q  =  angle
t  =  torque
? = angular speed
a  =  angular acceleration
f  =  phase angle
?
?
Fk x
S
=- ?
U
S
 = 
1
2
k(Dx)
2
x = x
max
cos(?t + f)
T
f
==
21 p
?
T
m
k
S
= 2p
T
g
P
= 2p
l
?
F
Gmm
r
G
=
12
2
U
Gmm
r
G
=
12
?
F
qq
r
E
=
1
4
0
12
2
pe
?
?
E
F
q
E
=
EdA
Q
·=
?
e
0
E
dV
dx
x
=-
?- VE dr = ·
?
  
V
q
r
i
i
i
=
?
1
4
0
pe
UqV
qq
r
E
==
1
4
0
12
pe
?V
Q
C
=
C
A
d
=
?e
0
CC
pi
i
=
?
11
CC
si
i
=
?
I
dQ
dt
=
U
C
 = 
1
2
QDV = 
1
2
C(DV)
2
R
A
=
? l
??
EJ = ?
I = Nev
d 
A
I
V
R
=
?
RR
si
i
=
?
11
RR
pi
i
=
?
P = IDV
A  =  area
B  =  magnetic field
C  =  capacitance
d  =  distance
E  =  electric field
e  =  emf
F  =  force
I  =  current
J  =  current density
L  =  inductance
l  =  length
n  =   number of loops of 
 wire per unit length
N  =   number of charge  
 carriers per unit  
 volume
P  =  power
Q  =  charge
q  =  point charge
R  =  resistance
r  =  radius or distance
t  =  time
U  =   potential or stored  
 energy
V  =  electric potential
v  =  velocity or speed
r  =  resistivity
F  =  flux
k  =  dielectric constant
?
?
?
FqvB
M
=×
Bd I ·=
?
µ
0
dB
Id r
r



=
µ
0
2
4p
× 
  
FIdB =
?
×
B
S
 = m
0
nI
F
B
BdA =·
?
? ?
e-
F
=· =
?
Ed
d
dt
B
e- = L
dI
dt
U
L
 = 
1
2
LI
2
GO ON TO THE NEXT PAGE.
  
Section I
GEOMETRY AND TRIGONOMETRY CALCULUS
Rectangle
A = bh
Triangle
A = 
1
2
bh
Circle
A = pr
2
C = 2pr
s = rq
Rectangular Solid
V = lwh
Cylinder
V = pr
2
l
S = 2pr l + 2pr
2
Sphere
V =
 
4
3
pr
3
S = 4pr
2
Right Triangle
a
2
 + b
2
 = c
2
sinq = 
a
c
cosq = 
b
c
tanq = 
a
b
A  =  area
C  =  circumference
V  =  volume
S  =  surface area
b  =  base
h  =  height
l  =  length
w  =  width
r  =  radius
s  =  arc length
q  =  angle
df
dx
df
du
du
dx
=
d
dx
xnx
nn
()=
-1
d
dx
eae
ax ax
() =
d
dx
ax
x
(ln) =
1
d
dx
ax aax [sin()]cos() =
d
dx
ax aax [cos()]sin() =-
xdx
n
xn
nn
=
+
+
?
1
1
1
1
, ?-
edx
a
e
ax ax
=
?
1
dx
xa
xa
+
=+
?
ln
cos( )sin() ax dx
a
ax =
?
1
sin( )cos() ax dx
a
ax =
?
-
1
VECTOR PRODUCTS
? ?
AB AB ·= cos?
? ?
AB AB ×= sin?
r
x
?
c
b
a
90°
?
GO ON TO THE NEXT PAGE. GO ON TO THE NEXT PAGE.
Section I
   
PHYSICS C: ELECTRICITY AND MAGNETISM
SECTION I
Time—45 minutes
35 Questions
Directions:  Each of the questions or incomplete statements below is followed by five suggested answers or completions.  Select the 
one that is best in each case and mark it on your answer sheet.
 36. A nonconducting sphere is given a nonzero net electric 
charge, +Q, and then brought close to a neutral conduct-
ing sphere of the same radius. Which of the following 
will be true?
(A) An electric field will be induced within the 
conducting sphere.
(B) The conducting sphere will develop a net electric 
charge of –Q.
(C) The spheres will experience an electrostatic 
attraction.
(D) The spheres will experience an electrostatic 
repulsion.
(E) The spheres will experience no electrostatic 
interaction.
 37. If the total resistance of a circuit were doubled, the power 
dissipated by that same circuit would
(A)  increase by a factor of 4
(B)  increase by a factor of 2
(C)  decrease by a factor of 2
(D)  decrease by a factor of 4
(E)  Cannot be determined
 38. Each of the following ionized isotopes is projected with 
the same speed into a uniform magnetic field B such that 
the isotope’s initial velocity is perpendicular to B. Which 
combination of mass and charge would result in a circular 
path with the largest radius?
(A) m = 16 u, q = –5 e
(B) m = 17 u, q = –4 e 
(C) m = 18 u, q = –3 e
(D) m = 19 u, q = –2 e
(E) m = 20 u, q = –1 e