Two point charges (q, and q2) are located on the x-axis respectively at x = 0 and x = d, as shown below. Let q = -3.0 µC, q₂ = +8.0 µC, and d = 8.0 cm. (a) (b) (c) q1 y -d 92 X Find the magnitude and direction of the net electric field on the y-axis at y = +6.0 cm. (Specify the direction as an angle measured counterclockwise from the +x axis.) Consider three regions along the x-axis: (i) left of q₁, (ii) between q, and q2, and (iii) right of 92. Identify any region(s), other than infinity, in which it is possible for the net electric field to be zero. Justify your answer qualitatively, but do not perform any calculations. Suppose a -1.5 µC test charge is placed on the y-axis at y = +6.0 cm. Determine the magnitude and direction of the net electric force on the test charge. Again, specify the direction as an angle measured counterclockwise from the +x axis. (Hint: The answers can be obtained in one line based on your results from part (a).)

Three point charges q1 = +8 µC, q2 = +6 µC and q3 = -4 µC are fixed at the three corners of a square of sides 4.00 cm as shown in the FIGURE. Determine the magnitude and direction of the resultant electric field at the empty corner of the square. q1 92 93

Four charges are arranged at the corners of a square of side length, L = 35.0 cm. All four charges have the same magnitude q = 2.9 nC but the lower right charge is negative. Find the magnitude of the electric field at the center of the square. (Use k = 9.00 x 10°Nm²/C²) Provide the solution: ×10²N/C

Three point charges are shown below. q1 = 4.57 μC, q2 = 2.30 μC, and q3 = -15.5 μC. d1 = 6.00 cm and d2 = 4.00 cm. What is the magnitude of the net electric force on q3 in Newtons? 1.00 μC = 1.00 × 10-6 C, 1.00 cm = 1.00 × 10-2 m. Use K = 9.00 × 109 N·m2/C2. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.