Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 2, Problem 2.8P
A crude device for measuring charge consists of two small insulting spheres of radius a, one which is fixed in position The other is movable along the x axis and is subject to a restraining force, where k is a spring constant The uncharged spheres are centered x= 0 and x= d. the latter fixed lithe spheres ate given equal and opposite charges of Q/C. obtain the expression by which Q may be found as a function of r Determine the maximum charge that can be measured in terms of t0, k, and d. and state the separation of the spheres then What happens is a larger charge is applied?
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Problem Description
Two small metal spheres A and B have different electric potentials. Sphere A has charge qA = -6x10-6 C and sphere B has charge qB = +2x10-6 C. The radius of sphere A is 0.25 m and the radius of sphere B is 0.50 m. The two spheres are then connected with a wire.
Instructions
In a neat and organized fashion, write out a solution which includes the following:
A sketch of the physical situation with all given physical quantities clearly labeled. If the description above consists of an initial and final state, both of these states should be represented in your sketch.
Draw charge diagrams of the spheres before and after they are connected. Charges may be drawn directly on your sketches.
Describe in words and mathematically what happens if you connect the spheres with a wire. Calculate the final charge on each sphere after they are connected. What assumptions did you make?
Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your…
The density seen in the figure is 4pi Coulomb charge uniformly (evenly everywhere) distributed along the surface of the 2m radius disc. According to this,
1. Find the charge density on the disc surface.
2. Find the electric field that will occur at the point 2m above the axis of the charge.
There is an arrangement of three charges distributed along a perimeter of a circumference, the charge q1, is located at the point r1 = r with an angle of 900, q2, is located at the point r2 = r with an angle of 1500, q3, is located at the point r3 = r with an angle of 300. Calculate the electric field on charge q1. Consider that the charges q1, q2 and q3 are equal to q.
Chapter 2 Solutions
Engineering Electromagnetics
Ch. 2 - Three point charges of equal magnitude q, that...Ch. 2 - Point charges of 1nC and -2 nC are located...Ch. 2 - Point charges of 50 nC each are located at...Ch. 2 - Eight identical point charges of Q C each are...Ch. 2 - A point charge of 3 nC is located at the point...Ch. 2 - Two point charges of equal magnitude q are...Ch. 2 - Point charges of equal magnitude but of opposite...Ch. 2 - A crude device for measuring charge consists of...Ch. 2 - A 100-nCpoint charges is located at A(-1,1,3)in...Ch. 2 - A configuration of point charges consists of a...
Ch. 2 - A charge Q0 located at the origin in free product...Ch. 2 - Electrons are in random in a fixed region in...Ch. 2 - A uniform volume charge density of 0.2 μC/m3 is...Ch. 2 - The electron beam in a certain cathode ray tube...Ch. 2 - A spherical volume having a 2-/μm radius contains...Ch. 2 - Within a region of free space, charge density...Ch. 2 - A length d of the charge lies on the Z-axis infree...Ch. 2 - (a) Find E in the plane z=0 that is produced by a...Ch. 2 - A line having charge density p0|C|C/m and of...Ch. 2 - A line charge of uniform charge density p0 C/m and...Ch. 2 - A charged filament forms a circle of radius a in...Ch. 2 - Prob. 2.22PCh. 2 - A disk of radius a in the xy plane carries surface...Ch. 2 - (a) Find the electric field on the z-axis produced...Ch. 2 - A disk of radius a in the xy plane carries surface...Ch. 2 - (a) Find the electric intensity on the z- axis...Ch. 2 - Given the electric field E=(4x2y)ax(2x+4y)ay, find...Ch. 2 - An electric dipole (introduced in Problem 2.7, and...Ch. 2 - If E=20e5y(cos5xaxsin5xay) ,find (a)...Ch. 2 - For fields that do not vary with z in cylindrical...
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