A question answer community on a mission

to share Solutions for all STEM major Problems.

to share Solutions for all STEM major Problems.

Cant find a problem on ToughSTEM?

1

Three point charges are located on a circular arc as shown in the figure below. (Take r = 4.04 cm. Let to the right be the +x direction and up along the screen be the +ydirection.)

a) What is the total electric field at P, the center of the arc?

E with arrow = _ i hat + _ j hat

(b) Find the electric force that would be exerted on a -4.77ï¿½nC point charge placed at P.

F with arrow = _ i hat + _j hat

Added Fri, 28 Aug '15

Community

1

Add a Comment

Solutions

1

The horizontal components of electric field due to charges q_1 ,q_2 and _q_3

E_x = E_1x + E_2x +E_3x

E_x = (kq_1 / r^2 )cos30^0 + (kq_2 /r^2) cos180^0 + (kq_3 / r^2 )cos30^0

Here r = radius of the circular arc = 4*10^-2 m

charges q_1 = q_3 = 3.0*10^-9 N and q_2 = -2.0*10^-9 C

k = 9*10^9 N.m^2 /C^2

plug all the values we get

E_x = 1.46*10^4 N/C - 1.125 *10^4 N/C + 1.46*10^4 N/C

E_x = 1.795*10^4 N/C

The verticle components of electric field at point p

E_2y = 0

As shown in the diagram E_1y and E_3y are cancells each other

E_y = 0

hence net electric field at the centre P E = sqrt ( (E_x)^2 + (E_y)^2) = 1.795*10^4 N/C

direction towards right

(b)

The force on the charge charge -5.00 nC

F =E *q = ( 1.795*10^4 N/C )(5.00*10^-9 C) = 8.975*10^-5 N

Added Fri, 28 Aug '15

Community

1

Add a Comment

Add Your Solution!

Close

Click here to

Choose An Image

or

Get image from URL

GO

Close

Back

Add Image

Close

What URL would you like to link?

GO

α

β

γ

δ

ϵ

ε

η

ϑ

λ

μ

π

ρ

σ

τ

φ

ψ

ω

Γ

Δ

Θ

Λ

Π

Σ

Φ

Ω

∫

∮

∞

∝

∇

∴

→

↔

⊆

⊂

∀

∃

∈

∉

∪

∩

∅

Copied to Clipboard

Sign Up

to interact with the community. (That's part of how we ensure only good content gets on ToughSTEM)

OR

OR

ToughSTEM is completely free, and its staying that way. Students pay way too much already.

Almost done!

Please **check your email** to finish creating your account!

Welcome to the Club!

Choose a new Display Name

Only letters, numbers, spaces, dashes, and underscores, are allowed. Can not be blank.

Great! You're all set, .

A question answer community on a mission

to share Solutions for all STEM major Problems.

to share Solutions for all STEM major Problems.

Why

The Purpose

The Purpose

How

The Community

The Community

Give Feedback

Tell us suggestions, ideas, and any bugs you find. Help make ToughSTEM even better.