Find electric field a distance P from a charged rod

In summary: The correct solution is:In summary, the electric field at point P is 15,000 N/C in the x-direction and 43,301 N/C in the y-direction.
  • #1
isukatphysics69
453
8

Homework Statement


The figure below shows a thin, vertical rod of length L with total charge Q. The indicated point P is a horizontal distance x from the one end of the rod. What is the electric field at point P. Express your answer in component notation in the two blanks below.

L = 5.0 cm, Q = 3.0 nC, and x = 3.0 cm.
physs2.jpg


Homework Equations


kq/r^2

The Attempt at a Solution


theta = arctan(5/3) = 59 deg
total charge = [(8.99x10^9)(3x10^-9)]/((0.03)^2) = 29966
x component = 29966cos59=15417

1.8/2 points
 

Attachments

  • physs2.jpg
    physs2.jpg
    2.3 KB · Views: 658
Last edited:
Physics news on Phys.org
  • #2
Nevermind I just forgot to square the distance lol
 
  • #3
Why am I only getting 1.8/2 points for 15417N/C? is something incorrect?
 
  • #4
this is so frustrating what is the sig figs ??
 
  • #5
LOL IT WAS ROUNDED DOWN TO 15000
 
  • #6
isukatphysics69 said:
LOL IT WAS ROUNDED DOWN TO 15000
So you're good now? :smile:
 
  • Like
Likes isukatphysics69
  • #7
berkeman said:
So you're good now? :smile:
yes please see other thread I am stuck again on y component
 
  • #8
isukatphysics69 said:

Homework Statement


The figure below shows a thin, vertical rod of length L with total charge Q. The indicated point P is a horizontal distance x from the one end of the rod. What is the electric field at point P. Express your answer in component notation in the two blanks below.

L = 5.0 cm, Q = 3.0 nC, and x = 3.0 cm.View attachment 230884

Homework Equations


kq/r^2

The Attempt at a Solution


theta = arctan(5/3) = 59 deg
total charge = [(8.99x10^9)(3x10^-9)]/((0.03)^2) = 29966
x component = 29966cos59=15417

1.8/2 points
This working of this problem is incorrect.
 

FAQ: Find electric field a distance P from a charged rod

What is the formula for finding the electric field at a distance P from a charged rod?

The formula is E = kQ/P, where E is the electric field strength, k is the Coulomb's constant (9x10^9 Nm^2/C^2), and Q is the charge of the rod.

How do you determine the direction of the electric field at a distance P from a charged rod?

The direction of the electric field is determined by the direction of the force that a small positive test charge would experience if placed at that point. If the charge on the rod is positive, the electric field points away from the rod. If the charge is negative, the electric field points towards the rod.

Can the electric field strength be negative?

Yes, the electric field strength can be negative if the charge on the rod is negative. This indicates that the force on a positive test charge at that point would be in the opposite direction of the electric field.

How does the distance P affect the electric field strength?

The electric field strength is inversely proportional to the distance squared (E ∝ 1/P^2). This means that as the distance from the charged rod increases, the electric field strength decreases.

Can the electric field at a distance P from a charged rod be calculated if the rod has a non-uniform charge distribution?

Yes, the electric field can still be calculated using the formula E = kQ/P, as long as the total charge of the rod is known. However, the direction of the electric field may vary depending on the specific charge distribution along the rod.

Similar threads

Find the Y component of Electric field at a point
2
Replies
35
Views
3K
Find the electric field at a point away from two charged rods
Replies
11
Views
3K
Electric Field from a Charged Semicircular Rod
Replies
2
Views
2K
Find the magnitude of the electric field at point P
Replies
5
Views
1K
Electric field in a rotating rod in a magnetic field
Replies
3
Views
1K
Electric field created by point charges
Replies
6
Views
322
Electric field at a point (point charge and semi-circle rod)
Replies
3
Views
5K
Why is electric field at the center of a charged disk not zero?
Replies
4
Views
2K
Calculate linear charge density of rod & mag. of E-field at point
Replies
3
Views
2K
Electric field external to Conducting Hollow Sphere with charge inside
Replies
23
Views
2K

Hot Threads

Recent Insights

Back
Top