Find the net charge of a system consisting of (a) 6.15 × 106 electrons and 7.44 × 106 protons X

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.

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

One particle has a mass of 3.71 x 103 kg and a charge of +7.56 μC. A second particle has a mass of 7.17 x 103 kg and the same charge. The two particles are initially held in place and then released. The particles fly apart, and when the separation between them is 0.177 m, the speed of the 3.71 x 103 kg-particle is 126 m/s. Find the initial separation between the particles. V1,B V2,B 92 92 91 Number i 0.011 Units m "B 91

2 narrow, flat metal plates are positioned vertically, 20.00 cm. The first plate has a positive charge with charge density σ=+630.0 mC/m2 and a second plate has an equal but opposite negative charge with charge density σ=-6300.0 mC/m2 . There are also two narrow, flat metal plates positioned horizontally, 30.00 cm apart, with the top plate given a negative charge, and the bottom plate given an equal but opposite positive charge, such that the electric potential of the bottom plate is 5.00 V higher than the top plate. A small sphere with a mass of m =64.35 g, and a charge of q =22.00 mC is attached to a narrow, stiff, massless, insulating rod with a length of L= 8.00 cm, which is pivoted at point O, which is 2.000 cm from the second plate. The sphere/rod unit is angled at 5 degrees with horizontal and released from rest. Will the sphere/rod ever hit an angle of 0 degrees with the horizontal? If so, how long will it take to reach that point?

One particle has a mass of 3.71 x 10‍3 kg and a charge of +7.56 µC. A second particle has a mass of 7.17 x 103 kg and the same charge. The two particles are initially held in place and then released. The particles fly apart, and when the separation between them is 0.177 m, the speed of the 3.71 x 103 kg-particle is 126 m/s. Find the initial separation between the particles. V1,B V2,B 92 92 91 Number i Units "B 91

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?