A system consists of two positive point charges, q1 and q2>q1. The total charge of the system is 65.0 μC , and each charge experiences electrostatic force of magnitude 87.0 N when the separation between them is 0.270 m.

Two charges are located on the x axis: q₁ = +7.3 µC at x₁ = +3.1 cm, and q2 = +7.3 µC at x₂ = -3.1 cm. Two other charges are located on the y axis: 93 = +3.1 μC at y3 = +5.4 cm, and 94 = -7.8 μC at y4 = +6.0 cm. Find (a) the magnitude and (b) the direction of the net electric field at the origin. 92 +y I 1 I 94 I I 93 1 41 --+x

The cockroach Periplaneta americana can detect a static electric field of magnitude 6.00 kN/C using their long antennae. If the excess static charge on a cockroach is modeled as point charges located at the end of each antenna, what magnitude of charge q would each antenna possess in order for each antennae to experience a force of magnitude 5.50 µN from the external electric field? Calculate q in units of nanocoulombs (nC). q= nC

Two tiny conducting spheres are identical and carry charges of -18.8 uC and +58.4 µC. They are separated by a distance of 3.27 cm. (a) What is the magnitude of the force that each sphere experiences? (b) The spheres are brought into contact and then separated to a distance of 3.27 cm. Determine the magnitude of the force that each sphere now experiences. (a) Number Units (b) Number Units

Two tiny conducting spheres are identical and carry charges of -29.8 µC and +63.7 µC. They are separated by a distance of 3.57 cm. (a) What is the magnitude of the force that each sphere experiences? (b) The spheres are brought into contact and then separated to a distance of 3.57 cm. Determine the magnitude of the force that each sphere now experiences. (a) Number (b) Number I Units Units >

Two point charges are fixed on the y axis: a negative point charge q1 = - 28 μC at y1 = + 0.15 m and a positive point charge q2 at y2 = + 0.35 m. A third point charge q = + 9.2 μC is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 23 N and points in the +y direction. Determine the magnitude of q2.

Three charges are placed along the x-axis: q1 = 3.00 µC at X1 = -20.0 cm, q2 = -5.00 µC at x2 = 10.0 cm, and q3 = 6.00 µC at x3 = 25.00 cm. Determine the magnitude of the electric field at the origin. O 4 69x106 N/C O 2 96x106 N/C O 6 04x106 N/C O 4.31x106 N/C

The drawing shows two situations in which charges are placed on the x and y axes. They are all located at the same distance of 5.40 cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin.

An infinite line of positive charge lies along the y axis, with charge density A = 1.10 µC/m. A dipole is placed with its center along the x axis at x = 21.0 cm. The dipole consists of two charges ±10.0 µuC separated by 2.00 cm. The axis of the dipole makes an angle of 25.0° with the x axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted on the dipole.

Three point charges are located on the x-axis at the following positions: Q1 = +7.00 µC is at x = 1.00 m, Q2 = +3.00 µC is at x = 0.00, and Q3 = -5.00 µC is at x = -3.00 m. What is the magnitude of the electric force on Q3? (k = 1/4TE0 = 9.0 x 10^9 N. %3D m2/C2)