1. Two charges +3µC and +12µC are fixed 1 m apart, with the second one to the right. Find the magnitude and direction of the net force on a -2-nC charge when placed at the following locations: (a) halfway between the two (b) half a meter to the left of the +3µC charge (c) half a meter above the +12µC charge in a direction perpendicular to the line joining the two fixed charges
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- guidelines: Answers must be expressed in engineering notation (when the exponent of the base 10 multiplier is not a multiple of 3, press ENG or SHIFT+ENG, whichever the case.) Example: 0.06N or 6.0x102 N must be expressed to 60x103 N or 60mN A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A and Bare 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to be moved from A to B, determine the following: a. The potential at A; b. The electric potential energy at B; c. The work done in moving the test charge; d. The rate of change of the potential with respectto length ordisplacement in the conductorAnswer the following problem solving, write your answer will be in two decimal places. (Do not round off). Use scratch paper and calculator. 1. A positive charge q exerts a force of magnitude - 0.10 N on another charge - 2q. Find the magnitude of each charge if the distance separating them is equal to 30 cm. 2. A charge of 4.67 x 10-18 C is placed 4.5 x 10 -6 m away from another charge of - 4.79 x 10-19, what is the attraction between them? 3. A positive charge of 3.0C and negative -4.0C are separated by 60m. What is the force between the charges? 4. Two charges are both 5.0C push each other apart with a force of 15.3N. How far apart are the two charges? 5. A negative charge of -9.0x10-6C exerts an attractive force of 14 N on a first charge that is away of 0.060m. What is the magnitude of the first charge?The force between two charges is given by the formula ? = 2000 ? 2 , where F is the force in Newtons and r is the distance between the charges in metres. Determine the rate of change of the Force, ?? ?? , when r = 10 m. [Include proper units with your answer.]
- Use the worked example above to help you solve this problem. Tiny droplets of oil acquire a small negative charge while dropping through a vacuum (pressure = 0) in an experiment. An electric field of magnitude 5.75 x 104 N/C points straight down. (a) One particular droplet is observed to remain suspended against gravity. If the mass of the droplet is 3.48 x 10 12 kg, find the charge carried by the droplet. C (b) Another droplet of the same mass falls 7.4 cm from rest in 0.250 s, again moving through a vacuum. Find the charge carried by the droplet. EXERCISE HINTS: GETTING STARTED | I'M STUCK! Suppose a droplet of unknown mass remains suspended against gravity when E = -2.10 × 105 N/C. What is the minimum mass of the droplet? (Take the +y direction to be upward.) kg Need Help? Read ItExpress answer/s in mks (SI) . Draw diagram whenever necessary Three identical point charges , each 10 mC , are placed at the vertices of an equilateral triangle such thattwo of these charges are located at the coordinate origin and at (10 cm, 0 cm) and the other chargeis located at point P whose coordinates are both positive. Determine the net force on charge placed atpoint P.Imagine you have four identical charge q, placed on the corners of a square. If q = 14.77 uC, then the side of the square is s = 13.04 cm, calculate the energy needed to bring these charges from infinity to their current configuration. NOTE: Final answer in THREE decimal places. Then, state the SI unit of the variable being sought off. Add your answer
- In the following problems, you don't need to understand the physics to complete the questions. Focus on the equations. (a) The force of gravity, F, between two masses, m and M, separated by a distance r, is given by where G is a constant. Write an equation of r in terms of other variables in the equation GmM F= 2 for F: r= (b) The electric force between two charges q=3·10¯6 units and Q=-4·10¯6 units separated by a distance, 1 d = 3-10-4 units, is given by F= where k=9. 10⁹ units. Without using a calculator, calculate the F. F= kq x² (c) Two positive electric charges, q and Q are separated by a distance d. Assume that q> Q> 0. The position x from charge q where the electric field zero is given by: = kQ (d-x)² kqQ d² Solve for x in terms of the other variables. The quantity k is a constant. Solution 1 represents the largest value of x. Hint: The solution can be simplified in many ways. The solutions accepted below have a form d Solution 1 = a-b Solution 2 = d a+b√√ You need to figure out…We have a 5 charge field the grid is 1 meter spacing and the charges are in Micro Coulombs. Ive atached two pictures of my work in solving for the force enacted on charge A. I now need to solve the value of DE ? And if added a 6th charge of (+10) at what location would we add it to make Fa = 0 ? Location Charge(microcoulombs) A (0,0) -20 B (-2,+4) -10 C (-4,+2) +20 D (+1,+3,-5) -10 E (-3,-1,+2) -204mm Q, 3 mm Smm FIGURE 1.1 FIGURE 1.1 shows a system of three point charges. and Q3 ) Calculate the electre potentral energy for the ystem.
- Final answers should be in two decimal places only. Include proper substitution and cancellation of units. An electron is placed in a uniform electric field of (given E) directed north created by two horizontal parallel plates that are (given distance) apart. The electron accelerates from rest, starting at the negative plate. What is the net force and acceleration acting on the electron? How long did it take the electron to get from one side of the plate to the other? Given: Electri field (nN/C): 30 Distance (fm): 133Solve for the following word problem. Show all necessary solution. Final answer should be rounded off to the nearest two decimal place. 1. Three-point charges, 5µC, 7µC and 8µC lies on a straight line. The distance of the first charge to the second and third charge is 30cm and 80cm, respectively. Compute for the net force in (a) first charge, (b) second charge, and (c) third charge.Two spheres of equal diameters have a =15 uC Charge and -10 uC charge. If they are placed 5.0 cm apart. 2. The two spheres in problem 1 are moved toward each other until they touch and then are placed 5.0 cm apart again. What force exist between them now, and how much?