1. The charge per unit length on the thin semicircular wire with total charge 'q' shown below is λ. What is the electric field at the point P located distance 'r' from every part of the semicircular wire? Write your answer in terms of Coulomb's constant 'k', the linear charge density 'λ', and the distance '

1. The charge per unit length on the thin semicircular wire with total charge 'q' shown below is λ. What is the electric field at the point P located distance 'r' from every part of the semicircular wire? Write your answer in terms of Coulomb's constant 'k', the linear charge density 'λ', and the distance '

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter15: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 46P: The electric field everywhere on the surface of a charged sphere of radius 0.230 m has a magnitude...

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The electric field everywhere on the surface of a charged sphere of radius 0.230 m has a magnitude of 575 N/C and points radially outward from the center of the sphere. (a) What is the net charge on the sphere? (b) What can you conclude about the nature and distribution of charge inside the sphere?
In which of the following contexts ran Gausss law not be readily applied to find the electric field? (a) near a long, uniformly charged wire (b) above a large, uniformly charged plane (c) inside a uniformly charged ball (d) outside a uniformly charged sphere (e) Gausss law can be readily applied to find the electric field in all these contexts.
A person is placed in a large, hollow, metallic sphere that is insulated from ground, (a) If a large charge is placed on the sphere, will the person be harmed upon touching the inside of the sphere? (b) Explain what will happen if the person also has an initial charge whose sign is opposite that of the charge on the sphere.
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1. Discuss pros and cons of a lightning rod being grounded versus simply being attached to a building. 2. Using the symmetry of the arrangement, show that the net Coulomb force on the charge qq at the center of the square below (Figure 1) is zero if the charges on the four corners are exactly equal. 3. (a) Using the symmetry of the arrangement, show that the electric field at the center of the square in Figure 1 is zero if the charges on the four corners are exactly equal. (b) Show that this is also true for any combination of charges in which qa=qbqa=qb and qb=qcqb=qc 4. (a) What is the direction of the total Coulomb force on qq in Figure 1 if qq is negative, qa=qcqa=qc and both are negative, and qb=qcqb=qc and both are positive? (b) What is the direction of the electric field at the center of the square in this situation? 5. Considering Figure 1, suppose that qa=qdqa=qd and qb=qcqb=qc. First show that qq is in static equilibrium. (You may neglect the gravitational force.) Then…
State what is meant by electric field strength at a point in space. How is its direction defined? Given that the magnitude field strength, E, at a distance r from a point charge Q is given by the formula: ?= 2/4??0 ?/?2 calculate the magnitude of the electric field at a point which is 10 cm from a positive 24 μC charge. Use ?=2/4??0 = 9×109 m/f. Give your anser in v/m.
Consider three charges arranged in a triangleas shown. Part 1: What is the net electric force on the chargeat the origin? The value of the Coulombconstant is 8.99 × 109 N · m2/C2.Answer in units of N. Part 2: What is the direction of this force (as an anglebetween −180◦and +180◦ measured from thepositive x-axis, with counterclockwise positive)?Answer in units of ◦. Part 3: What is the magnitude of the net electric fieldat the position of the charge at the origin?Answer in units of N/C. Part 4: What is the direction of the net electric field(as an angle between −180◦and +180◦ measured from the positive x-axis, with counterclockwise positive).Answer in units of ◦.
The figure(Figure 1) shows a solid metal sphere at the center of a hollow metal sphere. Assume that E=1.6×10^4N/CE=1.6×10^4N/C. A - What is the total charge on the exterior of the inner sphere? Express your answer with the appropriate units. B - What is the total charge on the inside surface of the hollow sphere? Express your answer with the appropriate units. C - What is the total charge on the exterior surface of the hollow sphere? Express your answer with the appropriate units.
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