PHYSICS 112
FINAL EXAM EQUATION SHEET
Constants
k
= 8.99 x 10
9
N
.
m
2
C
2
ε
o
= 8.85 x 10
-12
C
2
N
.
m
2
Force Magnitude
F =
k |q
1
| |q
2
|
r
2
(force between point charges)
E Field
E
=
F
q
E =
k |q|
r
2
(point charge)
V = E d
(parallel plates)
Work and Energy
KE =
1
2
mv
2
W = Fs cos
θ
=
Δ
KE
W
NC
=
Δ
KE +
Δ
PE
W
E
= –
Δ
PE
W
AB
= EPE
A
– EPE
B
=q
(
V
A
– V
B
)
Potential
PE = qV
E
x
= –
Δ
V/
Δ
x
V =
k Q
r
(point charge)
Capacitance
q = CV
E
cap
=
1
2
CV
2
=
1
2
q
2
C
=
qV
2
C =
κε
o
A
d
(parallel plates)
Current
I =
Δ
q
Δ
t
Resistance
R =
V
I
R =
ρ
L
A
ρ
=
ρ
o
[1 +
α
(T - T
o
)]
R
s
= R
1
+ R
2
+ ...
(in series)
1
R
P
=
1
R
1
+
1
R
2
+ ...
(in parallel)
Circuits
V = IR
P = IV = I
2
R = V
2
/ R
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PHYSICS 112
FINAL EXAM EQUATION SHEET
Magnetic Field
:
The magnetic field is a vector.
F = qvB sin
θ
F = ILB sin
θ
τ
= NIAB sin
φ
(
NIA =
magnetic moment)
B =
μ
o
I
2
π
r
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- Spring '10
- Any
- Charge, Force
-
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