  ToughSTEM  ToughSTEM
A question answer community on a mission
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  Edit Community
1
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  Edit Community
1
Comment  Close Choose An Image
or
Get image from URL
GO
Close Back
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

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! 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.
Why
The Purpose
How
The Community
Give Feedback Tell us suggestions, ideas, and any bugs you find. Help make ToughSTEM even better.