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Problem 4: Four point charges of equal magnitude Q = 35 nC are placed on the corners of a rectangle of sides D1 = 26 cm and D2 = 8 cm. The charges on the left side of the rectangle are positive while the charges on the right side of the rectangle are negative. Refer to the figure. +Q D2 +Q DI Part (a) Which of the following represents a free-body diagram for the charge on the lower left hand corner of the rectangle? SchematicChoice : Part (b) Choose an expression for the horizontal component of the net force acting on the charge located at the lower left corner of the rectangle in terms of the charges, the given distances, and the Coulomb constant. Use a coordinate system in which the positive direction is to the right and upwards. SchematicChoice : 1 D2 3/2 DE |(D} + D3) D1 3/2 (D; + DỆ) D2 F = k Q? F, = kQ² F = k Q? 3/2 D2 (D? + Dž) D, 3/2 D? [(D} + D;) F = kQ² Part corner of the rectangle. Numeric : A numeric value is expected and not an expression. Fx =. Calculate the value of the horizontal component of the net force, in wtons, on the charge located at the lower left Part (d) Enter an expression for the vertical component of the net force acting on the charge located at the lower left corner of the rectangle in terms of the charges, the given distances, and the Coulomb constant. Assume up is positive. SchematicChoice : D2 3/2 (D; + D?) D2 3/2 D [(D} + D²) D1 Fy = kQ² = kQ? 3/2 Fy D Fy = kQ² D (D; + D3) D1 1 Fy = kQ? 3/2 DE [(D} + D3)

Problem 4: Four point charges of equal magnitude Q = 35 nC are placed on the corners of a rectangle of sides D1 = 26 cm and D2 = 8 cm. The charges on the left side of the rectangle are positive while the charges on the right side of the rectangle are negative. Refer to the figure. +Q D2 +Q DI Part (a) Which of the following represents a free-body diagram for the charge on the lower left hand corner of the rectangle? SchematicChoice : Part (b) Choose an expression for the horizontal component of the net force acting on the charge located at the lower left corner of the rectangle in terms of the charges, the given distances, and the Coulomb constant. Use a coordinate system in which the positive direction is to the right and upwards. SchematicChoice : 1 D2 3/2 DE |(D} + D3) D1 3/2 (D; + DỆ) D2 F = k Q? F, = kQ² F = k Q? 3/2 D2 (D? + Dž) D, 3/2 D? [(D} + D;) F = kQ² Part corner of the rectangle. Numeric : A numeric value is expected and not an expression. Fx =. Calculate the value of the horizontal component of the net force, in wtons, on the charge located at the lower left Part (d) Enter an expression for the vertical component of the net force acting on the charge located at the lower left corner of the rectangle in terms of the charges, the given distances, and the Coulomb constant. Assume up is positive. SchematicChoice : D2 3/2 (D; + D?) D2 3/2 D [(D} + D²) D1 Fy = kQ² = kQ? 3/2 Fy D Fy = kQ² D (D; + D3) D1 1 Fy = kQ? 3/2 DE [(D} + D3)

College Physics
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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can you please solve (c) & (d)? 

Problem 4: Four point charges of equal magnitude Q = 35 nC are placed on the corners of a rectangle of sides D1 = 26 cm and D, = 8 cm. The charges on the left side of the rectangle are positive while the charges on the right side of the rectangle are negative. Refer to the figure. D2 +Q DI Part (a) Which of the following represents a free-body diagram for the charge on the lower left hand corner of the rectangle? SchematicChoice : Part (b) Choose an expression for the horizontal component of the net force acting on the charge located at the lower left corner of the rectangle in terms of the charges, the given distances, and the Coulomb constant. Use a coordinate system in which the positive direction is to the right and upwards. SchematicChoice : D2 3/2 DE [(D} + D3) 1 D2 3/2 (D; + D3) 1 F = k Q? F, = kQ? + F = k Q2 (Dž + D;) 1 F = kQ² 3/2 D [(D} + D3) Part (c) Calculate the value of the horizontal component of the net force, in newtons, on the charge located at the lower left corner of the rectangle. Numeric : A numeric value is expected and not an expression. Fx = Part (d) Enter an expression for the vertical component of the net force acting on the charge located at the lower left corner of the rectangle in terms of the charges, the given distances, and the Coulomb constant. Assume up is positive. SchematicChoice : D2 3/2 (D? + D?) D2 3/2 [(D} + D?) 1 D1 F, = kQ² 3/2 Fy = kQ2 F, = kQ² (D? + D3) D1 3/2 D? [(D} + D3) 1 F, = kQ? Part (e) Calculate the value of the vertical component of the net force, in newtons. Numeric : A numeric value is expected and not an expression. Fy Part (f) Calculate the magnitude of the net force, in newtons, on the charge located at the lower left corner of the rectangle. Numeric : Anumeric value is expected and not an expression. F = Part (g) Calculate the angle, in degrees between -180° and +180°, that the net force makes, measured from the positive horizontal direction. Numeric : A numeric value is expected and not an expression.
Transcribed Image Text:Problem 4: Four point charges of equal magnitude Q = 35 nC are placed on the corners of a rectangle of sides D1 = 26 cm and D, = 8 cm. The charges on the left side of the rectangle are positive while the charges on the right side of the rectangle are negative. Refer to the figure. D2 +Q DI Part (a) Which of the following represents a free-body diagram for the charge on the lower left hand corner of the rectangle? SchematicChoice : Part (b) Choose an expression for the horizontal component of the net force acting on the charge located at the lower left corner of the rectangle in terms of the charges, the given distances, and the Coulomb constant. Use a coordinate system in which the positive direction is to the right and upwards. SchematicChoice : D2 3/2 DE [(D} + D3) 1 D2 3/2 (D; + D3) 1 F = k Q? F, = kQ? + F = k Q2 (Dž + D;) 1 F = kQ² 3/2 D [(D} + D3) Part (c) Calculate the value of the horizontal component of the net force, in newtons, on the charge located at the lower left corner of the rectangle. Numeric : A numeric value is expected and not an expression. Fx = Part (d) Enter an expression for the vertical component of the net force acting on the charge located at the lower left corner of the rectangle in terms of the charges, the given distances, and the Coulomb constant. Assume up is positive. SchematicChoice : D2 3/2 (D? + D?) D2 3/2 [(D} + D?) 1 D1 F, = kQ² 3/2 Fy = kQ2 F, = kQ² (D? + D3) D1 3/2 D? [(D} + D3) 1 F, = kQ? Part (e) Calculate the value of the vertical component of the net force, in newtons. Numeric : A numeric value is expected and not an expression. Fy Part (f) Calculate the magnitude of the net force, in newtons, on the charge located at the lower left corner of the rectangle. Numeric : Anumeric value is expected and not an expression. F = Part (g) Calculate the angle, in degrees between -180° and +180°, that the net force makes, measured from the positive horizontal direction. Numeric : A numeric value is expected and not an expression.
Expert Solution
Step 1

Given 

Q= 35nC

D1= 26 cm =0.26m

D2 = 8cm = 0.08m

 

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