In the figure shown below, three charges are places at the corners of a rectangle. Charges 9₁ and 92 are located in the upper left and right corners, respectively and charge q3 is places in the lower left corner. The separation distance of q₁ and q3 is the distance a. The lower right corner, which does not contain a charge, is labeled as point P₁. A second point, P2, is on the top side of the rectangle, a distance b from charge q₁ and c from charge q2. For this question, let q1 = 58.00000 nC, q2 = -12.00000 nC, q3= -20.00000 nC, a = 12.00000 cm, b = 16.00000 cm and c = 6.00000 cm. (If you wish to get correct answers, then be sure to use ke = 9.00000 x 10⁹ Nm²/C² and e = 1.60000 x 10-1⁹ C.) (9₁ a (93 b P₂ с P₁

Consider two point charges located at the corners of a square with a side length a = 20 cm as shown in the following figure, where q1 = 5 µC. and q2 = -10 µC. y 20 cm 92 k----- 20 cm -----> The vector electric field (2 ) that q, and q2 together create at point P is Оa. (2.41 — 3.8)х 109]N/C O b. [(0.8î – 1.45) × 10ʻ]N/C O. [(0.4î – 1.85) × 10ʻ]N/C O d. [(1.8î – 0.45) × 10°]N/C

Draw the graph and show complete solutionsLet: q1 = +8 μC , at the originq2 = +6 μC , 6 meters to the right of the originq3 = -86 μC , 8 meters above q2q4 = -0.75 μC , 8 meters above the origin Find the magnitude and direction of the total electric force and total electric field at q3.

Calculate the total electric field at point A or B in the figure due to both charges, Q1 and Q2.

Give an expression for the electric field strength ?E at a point in terms of the charge ?q and distance ?r from the charge to that point. Use ?k for 14??014πε0 (i.e. ?≡14??0k≡14πε0).   Use the following notation (without the quotes): "/" for division,  "*" for multiplication, "+" an "-" as usual. For powers used "^2", while for square root use "sqrt". To indicate that square root applies to the whole expression use brackets - for example, for ??‾‾‾‾√AB use sqrt(A*B). For Greek letters such as ?π, ?α etc. use pi, alpha. For example to get 1??2???‾‾‾‾√1πA2BAB use 1/pi*A^2/B*sqrt(AB). Please use the exact variables given in the conditions of the problem: e.g if ?L is given, then do not use ?l.

A uniform electric field exists everywhere in the x, y plane. This electric field has a magnitude of 5200 N/C and is directed in the positive x direction. A point charge -8.7 x 10⁹ C is placed at the origin. Find the magnitude of the net electric field at (a) x = -0.19 m, (b) x=+0.19 m, and (c) y = +0.19 m. (a) Number i (b) Number i (c) Number i Units Units Units + ¤ #

Find the x and y components of the electric field produced by 91 and 92 in the figure shown below at point A and point B. (Take q₁ = 2.16 μC and q2 = -1.09 μC.) y, m 3 2 1 B 914 Point A Ex= Ey= Point B Ex = Ey = I 1 2 3 4 -x, m

Two point charges of 8.85 x 10° C are situated in a Cartesian coordinate system. One charge is at the origin while the other is at (0.72, 0) m. What is the magnitude of the net electric field at the location (0, 0.77) m?

In the figure below, the electric field at the origin is zero. 1) If q1 is 1.00×10^−7 C, what is q2? (Express your answer to three significant figures.)