Four point charges, each of magnitude 2.82 µC, are placed at the corners of a square 91.6 cm on a side. If three of the charges are positive and one is negative, find the magnitude of the force experienced by the negative charge. The value of Coulomb's constant is 8.98755 x 10° N · m²/C². Answer in units of N.

A point charge of 12 nC is located at the origin. four uniform line charges are located in the x = 0 plane as follows: 80 nC/m at y = −1 and −5 m, −50 nC/m at y = −2 and −4 m. Find D at P(0,−3, 2), D = ____ax + ____ay + ___az pC/m^2. Use one decimal place. (Note: in picocoulomb, pC)

Three-point charges are fixed to the corners of an equilateral triangle, as the drawing shows. The magnitude of charge A, located in the lower-left corner, is qA = -5.0 μC. The magnitude of charge B, located in the top corner, is qB = +7μC. The magnitude of charge C, located in the lower-right corner, is qc = +2μC. The lengths of the sides of the triangle are 5.0 cm. Show all your work for full credit. For each step below, provide a brief statement as to why you chose a particular strategy to solve the question. 1. What is the magnitude of the electromagnetic force between charge q2 and 93?

A charge of 5 pC is at the origin. What is the magnitude and direction of the electric field on the x axis at each of the following locations? (Remember that E, is negative when points in the negative x direction.) (a) x = 6 m N/C î (b) x = -10 m N/C î (c) Sketch the function E, versus x for both positive and negative values of x. (Do this on paper. Your instructor may ask you to turn in this work.)

Large parallel conduction plates, each with an area of 1.0 m2 , are separated by 5 cm. The plates carry opposite charges of ±7.5 µC. What is the magnitude of the force on a proton placed between the plates at 1.5 cm from the positive plate?

Positive point charges g = 9.00 µC and q' = 2.00 µC are moving relative to an observer at point P, as shown in the figure (Figure 1). The distance d is 0.130 m. v = 4.60x10° m/s. and = 9.20x10° m/s.

Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.0897 N when their center-to-center separation is 39.1 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0450 N. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them and (b) the positive charge on the other? (Assume the negative charge has smaller magnitude.) (a) Number i -.69e-6 (b) Number i 2.21e-6 Units Units с с

Two charges one negative and one positive with strength Q1= -3*q and Q2= +2*q (where q=7.0 nC,g=7.0*10^-9C) are placed 3.6m apart. P is located x distance from Q1, and is a point where the sum of the voltage of the two charges will sum to zero. What is the magnitude of the electric field at point P due to Q2 in units of Newton/Coulomb?

magnitude direction BμC 60.0⁰ A μC 0.500 m (a) Three point charges, A = 2.15 μC, B = 6.95 µC, and C = -4.10 µC, are located at the corners of an equilateral triangle as in the figure above. Find the magnitude and direction of the electric field at the position of the 2.15 µC charge. CμC X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N/C Your response differs from the correct answer by more than 10%. Double check your calculations.° below the +x-axis

Three charged particles are placed at the corners of an equilateral triangle of side 1.20 mm (see (Figure 1)). The charges are Q1Q1 = 7.4 μCμC , Q2Q2 = -7.8 μCμC , and Q3Q3 = -5.0 μCμC .