Equation Sheet Physics Worksheet Page 2
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1
2Circuits
current
I ≡ ∆Q/∆t
capacitance
C ≡ Q/V
N Φ
N
Φ
inductance
L =
M
=
B
2
21
21
I
I
1
(Ohm)
V = IR
2
2
power in resistor
P = IV = I
R = V
/R
1
1
series capapacitors
C
=
C
V =
V
Q = Q
i
i
eq
i
i
i
parallel capacitors
C
=
C
V = V
Q =
Q
eq
i
i
i
i
i
series resistors
R
=
R
V =
V
I = I
eq
i
i
i
i
i
1
1
parallel resistors
R
=
R
V = V
I =
I
i
i
eq
i
i
i
series inductors
L
=
L
V =
V
I = I
eq
i
i
i
i
i
1
1
parallel inductors
L
=
L
V = V
I =
I
i
i
eq
i
i
i
(Kirchhoff) junction The sum of all currents entering the junction must equal the sum
of all currents leaving the junction (charge is conserved).
(Kirchhoff) loop
The sum of the changes in the potential around any closed path of
a circuit must be zero.
AC Circuits
current
I(t) = I
cos(2πf t)
0
voltage
V (t) = V
cos(2πf t + φ)
0
phase angle
tan φ = (X
X
)/R
L
C
√
√
RMS
I
= I
/
2 V
= V
/
2
rms
rms
0
0
impedance
Z =
R
2
+ (X
X
)
2
V
= I
Z
L
C
rms
rms
power factor
cosφ
√
resonance
φ = 0
f
= 1/(2π
LC)
0
2
power dissipated P = I
R
rms
R V = IR
V
= I
R
I, V in phase φ = 0
rms
rms
dV
I
1
o
C
=
V
= I
X
X
= (2πf C)
V lags I
φ =
90
rms
rms
C
C
dt
C
dI
o
L
V = L
V
= I
X
X
= 2πf L
I lags V
φ = 90
rms
rms
L
L
dt
dE
displacement current
I
=
A
D
0
dt
wave equation
v = f λ
1
Pointing Vector
S =
E × B
µ
0
Math Review
sin θ = (opp)/(hyp),
cos θ = (adj)/(hyp)
tan θ = (opp)/(adj)
2
2
2
Pythagorean theorem: (hyp)
= (opp)
+ (adj)
4
3
2
Sphere: V =
πr
,
A = 4πr
3
Vectors
(A or A) and components (A
,A
,...)
A· B = AB cos θ = A
B
+A
B
x
y
x
x
y
y
A points opposite A
A
B means A + ( B)
| A × B| = AB sin θ
Component = (sign)(magnitude)(trig fn)
C = A + B means C
= A
+ B
and C
= A
+ B
x
x
x
y
y
y
2
2
Magnitude of C = C =
C
+ C
x
y
|C
|
y
1
Angle to nearest x-axis: θ = Tan
Specify axis!
|C
|
x
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