happyphysics.com

Physics Lecture Physics Lecture ResourcesResources

Prof. Mineesh GulatiHead-Physics Wing

Happy Model Hr. Sec. School, Udhampur, J&K

Website: happyphysics.com

Ch 23 Electric Ch 23 Electric PotentialPotential

© 2005 Pearson Education

23.1 Electric Potential Energy23.1 Electric Potential Energy

UUUUUW abbaba )(

work done by a conservative force

© 2005 Pearson Education

0a bW q Ed

© 2005 Pearson Education

© 2005 Pearson Education

© 2005 Pearson Education

02

0

02

0

02

0

1

4

1

4

1cos cos

4

b b

a a

b b

a a

r

r r

a b rr r

r r

a b r r

qqF

r

qqW F dr dr

r

qqW F dl dl

r

© 2005 Pearson Education

r

qqU 0

04

1

electric potential energy of two point charges

© 2005 Pearson Education

© 2005 Pearson Education

i i

i

r

qq

r

q

r

q

r

qqU

0

0

3

3

2

2

1

1

0

0

44

Point charge and collection of charges

© 2005 Pearson Education

23.2 Electric Potential23.2 Electric Potential

© 2005 Pearson Education

r

q

q

UV

00 4

1

Potential due to a point charge

i i

i

r

q

q

UV

00 4

1

Potential due to a collection of point charges

r

dqV

04

1

Potential due to a continuous distribution of charge

© 2005 Pearson Education

potential difference as an integral of

© 2005 Pearson Education

b

a

b

aba dlEdVV coslE

23.3 Calculating Electric Potential23.3 Calculating Electric Potential

© 2005 Pearson Education

Example 23.8 A solid conducting sphere of radius R has a total charge q. Find potential everywhere, both outside and inside the sphere.

23.4 Equipotential Surfaces23.4 Equipotential Surfaces

© 2005 Pearson Education

© 2005 Pearson Education

Equipotential surface

© 2005 Pearson Education

© 2005 Pearson Education

© 2005 Pearson Education

© 2005 Pearson Education

© 2005 Pearson Education

23.5 Potential Gradient23.5 Potential Gradient

x

VEx

y

VE y

z

VE z

components of in terms of

z

V

y

V

x

VkjiE ˆˆˆ

in terms of E

V

© 2005 Pearson Education

© 2005 Pearson Education

© 2005 Pearson Education

© 2005 Pearson Education

© 2005 Pearson Education

© 2005 Pearson Education

Two equivalent sets of units for electric-field magnitude are volts per meter (V/m) and newtons per coulomb (N/C). One volt is one joule per coulomb (1V-1 J/C). A useful unit of energy is the electron volt (eV), which is the energy corresponding to a particle with a charge equal to that of an electron moving through a potential difference of one volt. The conversion factor is 1 eV=1.602power-19J

© 2005 Pearson Education

ENDEND

Visit:Visit: happyphysics.comhappyphysics.com

For Physics ResourcesFor Physics Resources