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Electric field formula sheet, Cheat Sheet of Physics

Formula equations are coulomb’s law, electric field, electric field due to point charge, continuous charge, infinite line of charge and infinite plane of charge, electric flux and electric potential energy.

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PHYSICS 4B EQUATION SHEET
12
12 12
2ˆ
kq q
r
Fr
Coulomb’s Law
q
F
E
Electric Field
rE ˆ
2
r
q
k
Electric Field due to a
point charge
rE ˆ
2
r
dq
k
Electric Field due to a
continuous charge
2k
Er
E-field due to infinite line
of charge
E-field due to an infinite
plane of charge
o
E
E-field just outside a
conductor
EE dA
Electric Flux
enc
Eo
q
E dA
Gauss’s Law
p qd
Electric Dipole Moment
τpE
Torque on Electric Dipole
UpE
PE of electric dipole
B
BA
A
U
V V V d
qEs
Electric Potential
Difference
U qV
Electric Potential Energy
12
kq q
Ur
Electric Potential Energy
kq
Vr
Electric Potential due to a
point charge
dq
Vkr
Electric Potential due to an
extended body of charge
EV
Relation between V and E
Q
CV
Capacitance
oA
Cd
Capacitance for Parallel-
Plate Capacitor
12eq
C C C
Capacitors in Parallel
12
1 1 1
eq
C C C
Capacitors in Series
2
1
2oE
Energy Density in an
E-field
o
C kC
Capacitance with
Dielectric
o
E
Ek
E-field with Dielectric
2
1
2
U CV
Energy in a Capacitor
dQ
Idt
Electric Current
I
JA
Current Density
JE
Ohm’s Law
RA
Resistance
V IR
“Ohm’s Law”
1
Resistivity
12eq
R R R
Resistors in Series
12
1 1 1
eq
R R R
Resistors in Parallel
()
t
V
I t e
R
Current Charging
Capacitor
( ) (1 )
t
q t CV e
Charge Charging
Capacitor
RC
Time-Constant
qF v B
Magnetic Force on a
Moving Charge
IF L B
Magnetic Force on a
Current-Carrying
Conductor
b
a
IdF s B
Magnetic Force on a
Current-Carrying
Conductor
μτB
Torque on Current
Loop
μUB
Magnetic Potential
Energy
F qE qv B
Lorentz Force
HIB
Vnqt
Hall Voltage
pf2
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PHYSICS 4B EQUATION SHEET

1 2 12 2 12

kq q

r

F r

Coulomb’s Law

q

F

E

Electric Field

E r ˆ 2 r

q k

Electric Field due to a point charge

E r ˆ 2 r

dq k

Electric Field due to a

continuous charge

2 k E r

E-field due to infinite line of charge

(^2) o

E

E-field due to an infinite

plane of charge

o

E

E-field just outside a conductor

E E^ dA

Electric Flux

enc E o

q E dA

Gauss’s Law

p qd^ Electric Dipole Moment

τ p E^ Torque on Electric Dipole

U p E^ PE of electric dipole

B

B A A

U V V V d q

E s

Electric Potential Difference

U qV^ Electric Potential Energy

kq q 1 2 U r

Electric Potential Energy

kq V r

Electric Potential due to a point charge

dq V k r

Electric Potential due to an

extended body of charge

E V^ Relation between V^ and E

Q C V

Capacitance

o A C d

Capacitance for Parallel- Plate Capacitor

Ceq C 1 C 2 Capacitors in Parallel

1 2

C eq C C

Capacitors in Series

oE

Energy Density in an

E-field

C kCo Capacitance with

Dielectric

Eo E k

E-field with Dielectric

U CV

Energy in a Capacitor

dQ I dt

Electric Current

I

J

A

Current Density

J E Ohm’s Law

R

A

Resistance

V IR “Ohm’s Law”

1 Resistivity

Req R 1 R 2 Resistors in Series

1 2

R eq R R

Resistors in Parallel

t V I t e R

Current Charging

Capacitor

t

q t CV e

Charge Charging

Capacitor

RC Time-Constant

F q v B^ Magnetic Force on a

Moving Charge

F I L B^ Magnetic Force on a

Current-Carrying

Conductor b

a

F I d s B

Magnetic Force on a

Current-Carrying

Conductor

τ μ B^ Torque on Current

Loop

U μ B^ Magnetic Potential

Energy

F qE qv B^ Lorentz Force

H

IB

V

nqt

Hall Voltage

2

2

o

o

o d

E d o

o B B B B L B

Id d r q

r d I I

d I dt B nI

d

d

dt d d dt d dI N L dt dt N L I

s r B

v r B

B

B A

E s

2

2

1

( 1 )

U LI

R

L

e R

V I

t

2

2 12 12 1

2

2 2

1

sin

sin 2

sin 2

tan

B o

p rms

p rms

L

x

R p

L p L

c p c

ave rms p

L c

L c

o

B N M I I I V V

X L

X

C

V I R t

V I X t

V I X t

P I R

V I Z

Z R X X

X X

R

LC