Electrostatics problem (ruddy angles)

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Homework Help Overview

The discussion revolves around calculating the magnitude of the electric field strength at a specific point due to two point charges, with given values for the charges and their separation distance. The subject area is electrostatics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of trigonometric functions to determine distances and the application of the electric field formula. Questions arise regarding the addition of vector components and the interpretation of results in different coordinate forms.

Discussion Status

Participants are actively engaging with the problem, with some providing insights into vector addition and questioning the correctness of the calculations. There is a recognition of potential misunderstandings regarding the cosine law and the relationship between the electric fields from the two charges.

Contextual Notes

There is mention of a specific angle and the need for clarity on vector addition methods, as well as confusion about the cosine law and its application in this context. The original poster expresses uncertainty about the correctness of their results.

Destrio
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Homework Statement


Calculate the magnitude of the field strength at point P as shown. The distance between the centers of the 1.5E-6 C and the 9.2E-6 C charges is 5.6 cm..


Homework Equations


E = kq/r^2
E = F/Q
E = V/d


The Attempt at a Solution


Used tan and sin of 50 to find all distances

E = kq/r^2
E = (9E9)(1.5E-6C) / (7.31E-2 m)^2
E = 2.526E6 N/C

E = kq/r^2
E = (9E9)(9.2E-6C) / (4.69E-2 m)^2
E = 2.526E6 N/C

then used those numbers to find c^2 using cosine law.

I'm not getting a correct answer (obvoiusly).

Thanks,
 

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What's a c^2 cosine law? You have the two vector components of the total E field. Do you know how to add the components? Is the answer expressed in polar or rectangular form?
 
cosine law is:
c^2 = a^2 + b^2 - 2ab cos c
I don't know how to add the components or what polar/rectangular form is
 
Destrio said:

Homework Statement


Calculate the magnitude of the field strength at point P as shown. The distance between the centers of the 1.5E-6 C and the 9.2E-6 C charges is 5.6 cm..


Homework Equations


E = kq/r^2
E = F/Q
E = V/d


The Attempt at a Solution


Used tan and sin of 50 to find all distances

E = kq/r^2
E = (9E9)(1.5E-6C) / (7.31E-2 m)^2
E = 2.526E6 N/C

E = kq/r^2
E = (9E9)(9.2E-6C) / (4.69E-2 m)^2
E = 2.526E6 N/C

then used those numbers to find c^2 using cosine law.

I'm not getting a correct answer (obvoiusly).

Thanks,

There is no way the fields from the two charges are the same. Your distances look OK.
 

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