In the figure below, each charged particle is located at one of the four vertices of a square with side length = a. In the figure, A = 5, B = 2, and C = 3, and q > 0. Four positive charges are organized in a square configuration, with one charge at each vertex of the square. Each side of the square is labeled a. The upper left corner has charge A q, the upper right corner has charge q, the lower right corner has charge C q, and the lower left corner has charge B q. (a) What is the expression for the magnitude of the electric field in the upper right corner of the square (at the location of q)? (Use the following as necessary: q, a, and ke.) E = Give the direction angle (in degrees counterclockwise from the +x-axis) of the electric field at this location. ° (counterclockwise from the +x-axis) (b) Determine the expression for the total electric force exerted on the charge q. (Enter the magnitude. Use the following as necessary: q, a, and ke.) F = Give the direction angle (in degrees counterclockwise from the +x-axis) of the electric force on q. ° (counterclockwise from the +x-axis) (c) What If? How would the answers to parts (a) and (b) change if each of the four charges were negative with the same magnitude? Select all that apply. The electric field would be the same magnitude but opposite direction as the field in part (a).The force would be the same magnitude and direction as the force in part (b).The electric field would be the same magnitude and direction as the field in part (a).The force would be the same magnitude but opposite direction as the force in part (b).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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In the figure below, each charged particle is located at one of the four vertices of a square with side

length = a.

In the figure,

A = 5,

B = 2,

and

C = 3,

and

q > 0.

Four positive charges are organized in a square configuration, with one charge at each vertex of the square. Each side of the square is labeled a. The upper left corner has charge A q, the upper right corner has charge q, the lower right corner has charge C q, and the lower left corner has charge B q.

(a)

What is the expression for the magnitude of the electric field in the upper right corner of the square (at the location of q)? (Use the following as necessary: q, a, and k_e.)

E =

Give the direction angle (in degrees counterclockwise from the +x-axis) of the electric field at this location.

° (counterclockwise from the +x-axis)

(b)

Determine the expression for the total electric force exerted on the charge q. (Enter the magnitude. Use the following as necessary: q, a, and k_e.)

F =

Give the direction angle (in degrees counterclockwise from the +x-axis) of the electric force on q.

° (counterclockwise from the +x-axis)

(c)

What If? How would the answers to parts (a) and (b) change if each of the four charges were negative with the same magnitude? Select all that apply.

The electric field would be the same magnitude but opposite direction as the field in part (a).The force would be the same magnitude and direction as the force in part (b).The electric field would be the same magnitude and direction as the field in part (a).The force would be the same magnitude but opposite direction as the force in part (b).

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