A solid sphere of radius R = 2 m is uniformly charged with charge Q = 3.6 × 10-3 C. Calculate the electrostatic energy stored in the sphere in SI units.
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- Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite? FIGURE P26.14 Problems 14, 15, and 16.A proton is fired from very far away directly at a fixed particle with charge q = 1.28 1018 C. If the initial speed of the proton is 2.4 105 m/s, what is its distance of closest approach to the fixed particle? The mass of a proton is 1.67 1027 kg.Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = +2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy?
- A charge per unit length given byd = 2.40 µC/m is distributed uniformly along the circumference of a circle with a radius of 25.0 cm. How much external energy is required to bring a charge of 35.0 µC from infinity to the center of the circle? (answer in Joules)Three charges, q1 = 1 µC, q2 = 2 µC and q3 = 3 µC are placed in a line with 20 cm between %3D each of them. So qat a = 0, q2 at z = 20 cm and q3 at z = 40 cm. Calculate the energy stored in the collection of charges. (a) -0.62 J (b) -0.43 J (c) +0.43 J (d) +0.62 J(a) Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 7.0 g. Silver has 47 electrons per atom, and its molar mass is 107.87 g/mol. 1.8370000 x (b) Imagine adding electrons to the pin until the negative charge has the very large value 3.00 mc. How many electrons are added for every 10 electrons already present? 1.8750000 x
- A point charge, q = +8.00 pC, and mass, m = 2.00 x 10-14 kg starts from rest on a planar, infinite sheet of charge with uniform charge density, +3.00 pC. When the point charge rises 1.00 cm above the infinite sheet, how fast will it be moving?A metal sphere of radius R=2.0 cm is suspended from the ceiling by an insulating rope. A point sphere with q=-3.OnC charge is fixed to the ground 3.0m below the center of the sphere. What could be the highest tensile force that can occur in the rope when the metal sphere begins to be charged with an electrical charge? (The electric field to ionize the air is 5x104 V/m.)Three point charges are located at the following positions: Q, = 2.00 μC at x = 1.00 m: Q₂ = 3.00 μC at x = 0; Q₂ = -5.00 μC at x = -1.00 m. What is the magnitude of the force on the 3.00-pC charge? Select one: O O O 8.10 × 10 N 0.158 N 5.40 x 10² N 0.135 N 0.189 N
- +3µμC +3μC Charges of 3.0 µC are located at x = 0.0, y = 2.0 m and at x = 0.0, y = -2.0 m. Unknown charges, Q, are located at x = 4.0, y = 2.0 m and at x = 4.0, y = -2.0 m. The electric field at the origin, z = 0.0, y = 0.0 m, is 4.0 x 10³ N/C î (in other words in the r direction). Determine the unknown charge Q.A very small object with mass 8.20 * 10-9 kg and positive charge 6.50 * 10-9 C is projected directly toward a very large insulating sheet of positive charge that has uniform surface charge density 5.90 * 10-8 C/m2. The object is initially 0.400 m from the sheet. What initial speed must the object have in order for its closest distance of approach to the sheet to be 0.100 m?The surfaces of a lipid bi-layer forming the membrane around a cell with a radius of 1.2 µm has a residual charge qr = 9x10-15 C on outside of the bi-layer, and the same amount of negative charge on the inside. What is the force in pN (×10-12 N) on a singly-charged positive ion (q =1.6 x10-19 C) located on the outer surface of this membrane? Hint: Use F = q E = q (o/e) with o = qr/A = qr/ (4Tt r²) and ɛ, = 8.85 x 10-12 F-m-1. Answer: 8.99180 F
