Electrostactics- honors physics problem

AI Thread Summary
The problem involves calculating the electric field at the center of a square formed by four point charges, each with a magnitude of q = 6.4 x 10^-19 C. The charges are positioned such that two are positive and two are negative. The solution requires using the GUESS method and relevant equations for electric field and force. After calculating the contributions from individual charges and combining them, the resultant electric field at the center is found to be E = 3.26 x 10^-6 N/C. The calculations confirm the correctness of this result.
Creative-Amy
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Homework Statement



Four point charges of equal magnitude q = 6.4 X 10-19 C are placed at the corners of a square with side length a = 10 cm. Calculate the electric field at P, the center of the square, if q1 and q4 are positive and q2 and q3 are negative. (Use GUESS method.) Answer E = 3.26 X 10-6 N/C


Homework Equations



E=Fe/q E=kQ/r2 Fe=kq1q2/r2 Q=Ne F=ma


k=9.0E9
e=1.6E-19


The Attempt at a Solution



Q=Ne
Q=1*1.6E-19

9E9*1.6E-19/(.10^2)

And now I'm confused...I don't know what steps to follow, can anyone help?
 
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Creative-Amy said:

Homework Statement



Four point charges of equal magnitude q = 6.4 X 10-19 C are placed at the corners of a square with side length a = 10 cm. Calculate the electric field at P, the center of the square, if q1 and q4 are positive and q2 and q3 are negative. (Use GUESS method.) Answer E = 3.26 X 10-6 N/C


Homework Equations



E=Fe/q E=kQ/r2 Fe=kq1q2/r2 Q=Ne F=ma


k=9.0E9
e=1.6E-19


The Attempt at a Solution



Q=Ne
Q=1*1.6E-19

9E9*1.6E-19/(.10^2)

And now I'm confused...I don't know what steps to follow, can anyone help?
Q is not 1.6e-19, that is for an electron or proton. Q is the value given in the problem statement.

Okay, start by calculating the electric field, at the center of the square, due to just one of the charges.
 
equations

Fe=kq1q2/r^2
resultant=sqroot(x^2+y^2)


q4-q1
y component

((9E9)(6.4E-19)^2)/.1^2 = 3.6864E-25

q3-q4
x component

((9E9)(6.4E-19)^2)/.1^2 = 3.6864E-25

Solve for resultant

sqroot( 3.6864E-25^2+3.6864E-25^2) = 5.21E-25 = Fe

equation

E=Fe/q

q=1.6E-19

5.21E-25/1.6E-19 = 3.258E-6

Answer= 3.26E-6

Correct?
 
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