Two test charges are located in the ?x–?y plane. If ?1=−4.70 nCq1=−4.70 nC and is located at ?1=0.00 m,x1=0.00 m, ?1=0.680 m,y1=0.680 m, and the second test charge has magnitude of ?2=3.00 nCq2=3.00 nC and is located at ?2=1.20 m,x2=1.20 m, ?2=0.550 m,y2=0.550 m, calculate the ?x and ?y components, ?xEx and ?y,Ey, of the electric field ?⃗ E→ in component form at the origin, (0,0). The Coulomb force constant is 1/(4??0)=8.99×109 N·m2/ C2.

There are two point charges q1=(7.000x10^0) µC and q2=(-3.0000x10^0) µC. q1 is located at origin (0, 0). q2 is located at (4.00x10^0) m,(5.000x10^0) m). Now we place another point charge q3 = (1.0000x10^1) µC at ((4.00x10^0) m, 0), i.e. q3 is right underneath of q2. Please calculated the X-component of the electrostatic force on q3 . Give your answer in the unit of N with 3 sf. Note: Use the sign to represent the direction, for example -2.11x10^-4 means the force is on the negative x direction.

A long thin rod is bent into a perfect semicircle of radius 4.30 m. The linear change density of the rod is λ = 3.10 nC/m. How much charge is on a small piece of the rod that subtends an angle Δθ = 0.170 radians? 13.3 nC 0.527 nC 2.27 nC 4.24 nC

Three charges are located as shown in the figure, with values q; = 4.8 × 10-16 C, q2 = -1.6 × 10-16 C, q3 = 5.5 × 10-16 C. The charges are separated by d, = 3.2 x 106 m and dɔ = 3.8 × 106 m. d, (a) What is the force of q2 on q j in the x direction, F,? Give your answer in newtons, and recall k = 8.988 x 10° N m²/C². (b) What is the force of q3 on q, in the y direction, F,? Give your answer in newtons.

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 5.00 cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin. -l.0 μC +1.0 uC +2.0 uC -3.0 µC +4.0 µC -1.0 uC o! +6.0 uC (b) (a)

Three point charges are placed on the x-y plane: a +25.0 nC charge at the origin, a -25.0 nC charge on the x axis at 10.0 cm, and a +110 nC charge at the point (10.0 cm, 8.00 cm). Find the x component of the total electric force on the +110 nC charge due to the other two. (Express your answer to two significant figures.) Find the y component of the total electric force on the +110 nC charge due to the other two. (Express your answer to two significant figures.) Find the x component of the electric field at the location of the +110 nC charge due to the presence of the other two charges? (Express your answer to two significant figures.) Find the y component of the electric field at the location of the +110 nC charge due to the presence of the other two charges? (Express your answer to two significant figures.)

The drawing shows an equilateral triangle, each side of which has a length of 2.49 cm. Point charges are fixed to each corner, as shown. The 4.00 μC charge experiences a net force due to the charges qA and qB. This net force points vertically downward and has a magnitude of 240 N. Determine (a) charge qA, (b) charge qB. (a) Number i (b) Number i Units Units +4.00 μC 48

Charged particles q1=−q1=− 4.00 nCnC and q2=+q2=+ 4.00 nCnC are separated by distance 3.90 mmmm , forming an electric dipole. Find the magnitude of the electric dipole moment. Express your answer in coulomb meters to three significant figures.

Three identical metallic conducting spheres carry the following charges: q1 = +4.60 μC, q2 = +1.80 μC, and q3 = −1.60 μC. The spheres that carry the charges q1 and q2 are brought into contact. Then they are separated. After that, one of those two spheres is brought into contact with the third sphere that carries the charge q3; those two are then separated as well. How many excess (or deficiency) electrons make up the final charge on the third sphere?

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 7.10 cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin. +2.0μC -5.0 μC (a) -3.0 μC +4.0 μC +1.0 μC +6.0 με (b) -1.0 με