Problem 3: Two positive point charges, each of charge Q > 0, are located at the two upper corners of a square; and two negative point charges, each of charge -Q < 0, are located at the two lower corners of that square, in the x-y-plane, as shown in the figure below. The points R, S, T, and U are the mid-points of the edges and M is the center of the square. Two edges of the square are parellel to the x-axis, and two edges are parallel to the y-axis, with x- and y-axis oriented as shown below. The total electric field, generated at these five points by the four charges, is denoted by ER = (ER2, ERy), Es = (Es,a, Es), ĒT = (ET,#, ET ), Ey = (Eu,æ, EU) and EM = (EM,2, EM,4) , respectively. Which of the following is true? Fig. 2.39 -Q (A) The E-field vanishes at M, i.e., |Em| = 0. (B) The E-field y-component at R is positive, i.e., ERy > 0. (C) The E-field y-component vanishes at S, i.e., Esy = 0. (D) The E-field x-component vanishes at T, i.e., ET, (E) The E-field y-component at U is positive, i.e., ETy > 0. = 0.
Problem 3: Two positive point charges, each of charge Q > 0, are located at the two upper corners of a square; and two negative point charges, each of charge -Q < 0, are located at the two lower corners of that square, in the x-y-plane, as shown in the figure below. The points R, S, T, and U are the mid-points of the edges and M is the center of the square. Two edges of the square are parellel to the x-axis, and two edges are parallel to the y-axis, with x- and y-axis oriented as shown below. The total electric field, generated at these five points by the four charges, is denoted by ER = (ER2, ERy), Es = (Es,a, Es), ĒT = (ET,#, ET ), Ey = (Eu,æ, EU) and EM = (EM,2, EM,4) , respectively. Which of the following is true? Fig. 2.39 -Q (A) The E-field vanishes at M, i.e., |Em| = 0. (B) The E-field y-component at R is positive, i.e., ERy > 0. (C) The E-field y-component vanishes at S, i.e., Esy = 0. (D) The E-field x-component vanishes at T, i.e., ET, (E) The E-field y-component at U is positive, i.e., ETy > 0. = 0.
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Transcribed Image Text:Problem 3: Two positive point charges, each of charge Q > 0, are located at the two upper
corners of a square; and two negative point charges, each of charge -Q < 0, are located at
the two lower corners of that square, in the x-y-plane, as shown in the figure below. The
points R, S, T, and U are the mid-points of the edges and M is the center of the square. Two
edges of the square are parellel to the x-axis, and two edges are parallel to the y-axis, with
x- and y-axis oriented as shown below. The total electric field, generated at these five points
by the four charges, is denoted by ER = (ER2, ERy), Es = (Es,a, Es), ĒT = (ET,#, ET ),
Ey = (Eu,æ, EU) and EM = (EM,2, EM,4) , respectively. Which of the following is true?
Fig. 2.39
-Q
(A) The E-field vanishes at M, i.e., |Em| = 0.
(B) The E-field y-component at R is positive, i.e., ERy > 0.
(C) The E-field y-component vanishes at S, i.e., Esy = 0.
(D) The E-field x-component vanishes at T, i.e., ET,
(E) The E-field y-component at U is positive, i.e., ETy > 0.
= 0.
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