Problem 3: The identical small spheres shown in Fig.3 are charged to +100 nC and -100 nC. They hang as shown in an E = 105 N/C electric field. What is the mass of each sphere? a) In Fig. 3, draw the vectors that represent all the forces acting on charge 1 (you should have 4 forces in total). Compute the magnitudes of the electric forces acting on charge 1 (when computing the force exerted on charge 1 by charge 2, you need to use the distance between the two charges, which can be deduced from the geometry of the problem). (11 10° 50cm 100nc + -10° 50cm 100nC FIG. 4: The scheme for Problem 3 b) For the charge 1 to stay in equilibrium, all forces acting on it have to balance each other. Which condition does this impose on the ratio between the total electric force acting on the charge and the gravitational force, given the inclination angle of the string? Use this condition to find the mass of sphere 1. c) Draw the vectors that represent all the forces acting on charge 2. Why is the system of charges symmetric with respect to the vertical line, even though the electric field E points to the left?
Problem 3: The identical small spheres shown in Fig.3 are charged to +100 nC and -100 nC. They hang as shown in an E = 105 N/C electric field. What is the mass of each sphere? a) In Fig. 3, draw the vectors that represent all the forces acting on charge 1 (you should have 4 forces in total). Compute the magnitudes of the electric forces acting on charge 1 (when computing the force exerted on charge 1 by charge 2, you need to use the distance between the two charges, which can be deduced from the geometry of the problem). (11 10° 50cm 100nc + -10° 50cm 100nC FIG. 4: The scheme for Problem 3 b) For the charge 1 to stay in equilibrium, all forces acting on it have to balance each other. Which condition does this impose on the ratio between the total electric force acting on the charge and the gravitational force, given the inclination angle of the string? Use this condition to find the mass of sphere 1. c) Draw the vectors that represent all the forces acting on charge 2. Why is the system of charges symmetric with respect to the vertical line, even though the electric field E points to the left?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter23: Electric Forces
Section: Chapter Questions
Problem 29PQ: Two particles with charges q1 and q2 are separated by a distance d, and each exerts an electric...
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I need help with a,b, and c my professor won't help so I don't what to do. Is there any chance that you label them like which answer is A and which answer is B and C. Thank you
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