%) Problem 1: An archaeon has 7.3 × 10¹6 protons and a net charge of 1.5 pC. 50% Part (a) How many fewer electrons are there than protons? N₁-N₂ = 1

1.  Common static electricity involves charges ranging from nanocoulombs to microcoulombs. (a) How many electrons are needed to form a charge of −9.10 nC? electrons (b) How many electrons must be removed from a neutral object to leave a net charge of 0.520 µC? electrons   2. What net charge would you place on a 412 g piece of sulfur if you put an extra electron on 1 in 1012 of its atoms? (Sulfur has an atomic mass of 32.1.)   4. What is the repulsive force between two pith balls that are 10.0 cm apart and have equal charges of −39.0 nC?-------N   6.How far apart (in mm) must two point charges of 65.0 nC (typical of static electricity) be to have a force of 5.50 N between them?     7. a.What is the direction of this force (away from or toward the +6 µC charge)? away from the +6 µC chargetoward the +6 µC charge ---------mm A test charge of +9 µC is placed halfway between a charge of +6 µC and another of +7 µC separated by 17 cm. (b) What is the magnitude of the force (in N)…

1) A circular ring of radius  17.7 cm has a continuous charge distribution of -6.6 C/m. How many excess electrons are on the ring? Write your result as multiplicative of 1018. Your result must contain one figure after the decimal point. Maximum of 3% of error is accepted in your answer

If, in Step 5, Spheres A and C are separated by a distance of r = 2.0 m and q = 1.0 C, determine the magnitude of the electrostatic force between Spheres A and C.

2. Two point charges are located on the y-axis as follows: charge q1 = -1.50 nC at y = 0.60 m, and charge q2 +3.20 nC at the origin (y 0). (a) What is the total force (magnitude and direction) exerted by these two charges on a third charge q3 = + 5.00 nC located at y = -0.40 m? = (b) what is the electric field at the point P(0.4, 0) [for all three charges]? (c) If you keep the fourth charge of 1 nC at point P, what force it will experience? (d) Calculate the potential energy of this system of charges [all four charges].

4) Four point charges are placed at the corners of a square as shown in the figure. Each side of the square has length 2.00 m. What is the direction of the net force on a positive charge placed at the point P, the center of the square. +4uC +1 μC -3 μC . P +4 μC A) along the diagonal from +4µC (top left charge) to +4µC (bottom right charge) B) along the diagonal from +1μC towards -3µC C) along the diagonal from +4µC (bottom right charge) towards +4µC (top left charge) D) along the diagonal from -3µC towards +1µC E) along a line through P but not along any of the diagonals

A sphere with a diameter of 4.0 cm has an excess of 6.0 × 10¹² electrons per cm² on its surface. The area for a sphere may be calculated using A = 4πr² What is the charge on the sphere? с Use 2 significant figures in your answer

Three point charges are located as shown in the figure. q1 =-9 x 10-12 [C) and d =5 [cm] 92 =1 x 10-12 (C] and d2 = 1 (cm] 93 =-4 x 10-2 (C) and dy = 7 (cm] 93 d3 a. -d of the 92 E d, d, b.- *** 1, the inin. E2 [N/C) e.l Calculate Es, the magnitude of the electric field created by the charge q at the origin E = (N/C] f.L What is the direction of E 1, the electric field created by the charge q at the origin. oi gK... Suppose that: E 3i+3 IN/C E-2i+1 N/C Ey-1i+1 IN/C Calculate the net electric field vector created at the origin (DO NOT USE THE VALUES FOUND IN THE PREVIOUS PARTS) E Î IN/C) h A charge qo equal to -1.6 x 10-19 is located at the origin. The net electric field at the origin and the total force applied on the charge g will have: : Osame direction Oopposite direction ik s]A charge go equal to -1.6x 10-19 is located at the origin, where the net electric field vector is supposed to be Ener "-4 i +4 ĵ IN/C). Calculate the net electric force vector created on go and select its unit…

1. A test charge of +2µC is placed halfway between a charge of +6µC and another of +4µC separated by distance 2d = 9 cm. +4μC 9₁ = +4 µC d because 9391. > The free body diagram of q2 from Part 1 should look like this: +2μC F3-2 d q2 = +2 μC F1-2 +6µC F3+2 > F1+2 X The force on q2 due to q₁ is repulsive and acts to the right. The force on q₂ due to q3 is repulsive and acts to the left. q3 = +6 μC (a) Calculate the force on the test charge by the +6µC charge. Hint: The force in the positive x-direction is positive and the negative x direction is negative.

5.) Protons can be approximated as spheres with a radius of about 8.5 x 10-16 m. Using Coulomb's law (which we saw at the beginning of the year), calculate the force required for two particles with the charge of one proton to be this far apart. While not exact, this gives a sense for how much force must be applied for the first step of this process to occur. Note: you will have to look up a couple of values here .. units are important, so it's probably best to work in Sl units.