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Physics Formulas: Coulomb's & Gauss's Laws, Electric Potential, Capacitance, Ohm's Law, El, Lecture notes of Physics

Physics

A formula sheet for various physics concepts including coulomb's law, gauss's law, electric potential, capacitance, ohm's law, electric power, resistivity, root-mean-square value, resistors, time constant, magnetic force, magnetic field, ampere’s law, torque on a current loop, magnetic dipole moment, faraday’s law, mirror equation, thin lens equation, snell’s law, wavelength in medium, constructive interference, destructive interference, minima of single slit diffraction, principal maxima for diffraction gratings, brewster’s angle, resolution limited by a circular aperture, radius of a nucleus, and einstein's equation with explanations of constants.

Typology: Lecture notes

2021/2022

Uploaded on 09/07/2022

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Physics 102 Formula Sheet
Coulomb's law (16-2):
2212
0
2
21
0
2
21 10858 )(magnitude
4
1mN/C.
r
QQ
r
QQ
kF

Gauss's law (16-9):
0
 encl
surfa ce
closed
surfa ce
closed
E
Q
AFAE
Electric potential due to a point charge (17-5):
)at 0 (assuming
4
1
0
rV
r
Q
V

Capacitance (17-7):
CVQ
Parallel-plate capacitor (17-8):
d
A
C0
Capacitors in parallel (19-5):
321 CCCCeq
Capacitors in series (19-6):
321
1111
CCCCeq
Energy stored in a capacitor (17-10):
C
Q
CVQVU
2
2
2
1
2
1
2
1
Ohm's law (18-2):
Resistivity (18-3):
A
l
R
Electric power (18-5,6):
R
V
RIIVP
2
2
Root-mean-square (rms) value (18-8):
22
00 V
V,
I
Irmsrms
Resistors in series (19-3):
321 RRRReq
Resistors in parallel (19-4):
321
1111
RRRReq
Time constant of RC circuits (19-7):
RC
Charging and discharging:
RC/t
CeV
1
;
RC/t
CeVV
0
.
Magnetic force on an electric current
sinIlBF
(20-1)
Magnetic force on a moving charge
BvqF
(20-5)
Magnetic field due to a long straight wire
r
I
B
2
0
(20-6)
pf3

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Download Physics Formulas: Coulomb's & Gauss's Laws, Electric Potential, Capacitance, Ohm's Law, El and more Lecture notes Physics in PDF only on Docsity!

Physics 102 Formula Sheet

Coulomb's law (16-2):

12 2 2 2 0

1 2

0

2

1 2 (magnitude) 885 10 4

. C /N m r

QQ

r

QQ

F k     

Gauss's law (16-9):  0

encl

surface

closed surface

closed

E

Q

E A F A

Electric potential due to a point charge (17-5): (assuming 0 a t ) 4

0

 V r  r

Q

V



Capacitance (17-7): Q CV

Parallel-plate capacitor (17-8): d

A

C   0

Capacitors in parallel (19-5): Ceq C 1 C 2 C 3

Capacitors in series (19-6):

1 2 3

Ceq C C C

Energy stored in a capacitor (17-10): C

Q

U QV CV

2 2

2

Ohm's law (18-2): , V IR R

V

I  

Resistivity (18-3): A

l

R 

Electric power (18-5,6): R

V

P IV I R

2 2   

Root-mean-square (rms) value (18-8): 2 2

0 V 0

, V

I

I (^) r m s  r m s

Resistors in series (19-3): Req R 1 R 2 R 3

Resistors in parallel (19-4):

1 2 3

Req R R R

Time constant of RC circuits (19-7): RC

Charging and discharging:  

t/RC VC e

   1  ;

t/RC VC Ve

 ^0.

Magnetic force on an electric current

F IlBsin (20-1)

Magnetic force on a moving charge

F qv B

Magnetic field due to a long straight wire

r

I

B

0  (20-6)

Magnetic field in a long solenoid

In l

IN

B 0

0

 ^ (20-8)

Ampere’s law

encl B l I || 0   ^ ^ (20-9)

Torque on a current loop due to a magnetic field

 NIABsin (20-10)

Magnetic dipole moment

NIA

Faraday’s law

dt

d N

B

Focal length of a spherical mirror

r f  (23-1)

The mirror equation; thin lens equation

d (^) o di f

o

i

o

i

d

d

h

h m   (23-3, 23-9)

Snell’s law

n 1 sin 1 n 2 sin  2 (23-5)

Wavelength in medium:

n

n

   (24-1)

Constructive interference of double-slit experiment

dsin  m  m 0 , 1 , 2 ,... (24-2a)

Destructive interference of double-slit experiment

sin (^)   

d  m  m (24-2b)

Minima of single slit diffraction:

D sinm m 1 , 2 , 3 ,... (24-3)

Principal maxima for diffraction gratings

dsin  m  m 0 , 1 , 2 ,... (24-4)

Brewster's angle

1

2

n

n tan P  (24-6)

Resolution limited by a circular aperture

D