1- chapter24-question31 A 4.0 pC point charge is placed at the center of a hollow (inner radius = 2 cm outer radius = 4 cm) conducting sphere which has net charge of 4.0 pC. What is the surface charge density on the outer surface of the sphere ? (in nC/m2, n = 3.14) Option1 Option2 Option3 Option4 Option5 0.1 0.2 0.3 0.4 0.5 a) O Option3 b) O Option1 c) O Option5 d) Option4 e) O Option2 Boş bırak
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- 1. A test charge of +2µC is placed halfway between a charge of +6µC and another of +4µC separated by distance 2d = 9 cm. +4uC The free body diagram of q2 from Part 1 should look like this: 9₁ = +4 µC d 35.52 +2μC F3-2 ✔N 92 = +2 μC F₁-2 +6μС 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. F3-2 > F1-2 93 = because 93 91. (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. ✔N (b) Calculate the force on the test charge by the +4µC charge. (c) Calculate the net force on the test charge by both the charges. +6 μCA sphere of radius R is charged with total charge -2g distributed uniformly inside the sphere's volume (p = constant). In addition to the volume charge, there are also two point charges q inside the sphere, both on the x axis, at identical distances from the center, d (see figure). y -29 R q q 6 d d x What should be the value of d so that both point charges would be at equilibrium? Select one: O a. d= ○ b. d = R2R 23 О с. d = 2 ○ d. d = R Ꭱ ○ e. d = RRRL 4 ᎡThe figure shows a solid non-conducting sphere of radius a = 4.4 cm. It is surrounded by a charged conducting spherical shell of inner radius b = 15.3 cm and outer radius c = 24.8 cm. The inner sphere has a net charge of q1 = 9 nC and the conducting spherical shell has a net charge of q2 = -7 nC. a. What is the surface charge density on the inside surface of the spherical shell? b. What is the surface charge density on the outside surface of the spherical shell? c. What is the value of the electric field at a distance r = 58 cm from the centre of the spheres? Please use a negative value to indicate the electric field points toward the centre of the spheres and a positive value to indicate away from the centre of the spheres.
- Coaxial cable A long coaxial cable carries a uniform (positive) surface charge density o1 = 5 µC/m². On the inner cylinder radius R1 = 0.8 mm, and uniform surface charge density on the outer cylindrical shell (radius R2 = 1.4 mm). The surface charge is negative and of just the right magnitude so that the cable as a whole is neutral. a) Find the surface charge density ơ2 of the cylindrical shell of radius R2. b) Find an expression of electric field at r mm from the center where R1Spherical shell of inner radius R₁ = 1.3R and outer radius R₂ = 4.15R is filled uniformly with charge density p. A point charge Q = 4.8q is located at point A a distance 7.99 R from the center of the sphere. What is the magnitude of the force acts on the sphere by the point charge. Express your answer in terms of qpR/ using two decimal places. R2 Answer: R₁ P A Q1) a. You hold a ruler that has a charge on its tip 4.00 cm above a small piece of tissue paper to see if it can be picked up. The ruler has -14.0 µC of charge. The tissue has 1.00 g of mass. What is the minimum charge required to pick up the tissue paper? b. A 50.2 g ball of copper has a net charge of 2.2 pC. What fraction of the copper's electrons have been removed? (Each copper atom has 29 protons, and copper has an atomic mass of 63.5.) c. How many coulombs of positive charge are there in 1.36 kg of plutonium, given that its atomic mass is 244 and each plutonium atom has 94 protons?The figure below shows three charged particles, all lying along the horizontal axis. Particle A, at left, has a 6.25 nC charge. Particle B has a 1.30 nc charge and is 3.00 cm to the right of A. Particle C has a -2.55 nC charge and is 2.00 cm to the right of B. 3.00 cm - 2.00 cm- (a) What is the magnitude (in N/C) of the electric field at a point 2.00 cm to the right of A? |N/C (b) A fourth particle with a charge of -8.00 nC is placed at this point. What are the magnitude (in N) and direction of the net electric force on it? magnitude direction --Select-- Need Help? Read It2. Two small, neutral conducting spleres are placed on the x-axis at x = −5.0 m and at x = +5.0 m respectively. A negative point charge is placed on the x-axis. What is the direction of the net force on the point charge is it is placed in each of the 4 regions or at the origin? Answer: left, right, or zero for each of the following. Region 1 Region 2 Origin Region 3 Region 4 Region 1 Region 2 Origin Region 3 Region 4 X