Question

In: Physics

Let's say you want to produce a (roughly) uniform electric field using a very large nonconducting...

Let's say you want to produce a (roughly) uniform electric field using a very large nonconducting sheet. However, you still want to be able to access the regions above and below the sheet, so a drill a small hole with a radius of 1.80 cm into the sheet. You can assume that very large means "infinite" in this context. The sheet has a surface charge density of 4.50 pC/m2. What is the magnitude of the electric field at a point 2.56 cm above the sheet after the hole is drilled into the sheet? You drill the hole such that the point we are considering lines directly above the center axis of the hole.

Hint: Remember that electric fields obey the superposition principle. What charge distribution can you add on top of the sheet to create the absence of charge (i.e., not net charge) in "hole" region?

Solutions

Expert Solution


Related Solutions

Let's say we are planning on adding a very large modern sign to attract customers to...
Let's say we are planning on adding a very large modern sign to attract customers to our marijuana and tattoo shop that we run just north of Denver. We've completed a ton of market analysis and we are fairly confident that the sign will increase sales by $50,000 per year for the first two years, and then we think it will result in an increase of $35,000 per year for the next four years. The margins we earn on our...
Let’s say a very light magnetic point brush and a uniform magnetic field generator are readily...
Let’s say a very light magnetic point brush and a uniform magnetic field generator are readily available. Design the apparatus in way that a user may opt to draw small perfect circles, or big circles. No idea how to do this as i am just starting in physics. thank you Say you want to build a painting apparatus that draws a perfect circle. Lets say a very ligjt magnectic brush and uniform magnetic field generator are readily available. Desigm the...
An electron is released in a uniform electric field, and it experiences an electric force of...
An electron is released in a uniform electric field, and it experiences an electric force of 2.2 ✕ 10-14 N downward. What are the magnitude and direction of the electric field? Magnitude ____________ N/C Direction upward, to the left, to the right or downward?
Two large parallel copper plates are 3.60 cm apart and have a uniform electric field of...
Two large parallel copper plates are 3.60 cm apart and have a uniform electric field of magnitude E = 7.98 N/C between them (see the figure). An electron is released from the negative plate at the same time that a proton is released from the positive plate. Neglect the force of the particles on each other and find their distance from the positive plate when they pass each other.
[5] Let's say you want to evaluate an investment with an initial investment of $ 724,000,...
[5] Let's say you want to evaluate an investment with an initial investment of $ 724,000, a lifetime of 8 years, and a zero-residual value. Investment costs are depreciated by the straight-line depreciation method over the life of the investment. The annual sales volume is estimated at 90,000 units, with a price of $ 43 per unit, a variable cost of $ 29 per unit, and an annual fixed cost of $ 780,000. The tax rate is 35% and the...
1. Find the electric field magnitude midway through the nonconducting wall of a thick-walled pipe of...
1. Find the electric field magnitude midway through the nonconducting wall of a thick-walled pipe of infinite length with inner radius w, outer radius 3w, and a uniform volumetric charge density ρ. Answer in terms of the permittivity. 2. Find the electric field strength due to two completely hollow, concentric spherical shells made of metal. The inner shell has a radius w and carries a uniform surface charge density -σ. The outer has radius 2w and uniform charge density +4σ....
Let's say you want to poll a random sample of 150 students on campus to see...
Let's say you want to poll a random sample of 150 students on campus to see if they prefer to take online classes. Of course, if you took an actual poll you would only get one number (your sample proportion, p-hat). But, imagine all the possible samples of 150 students that you could draw and the imagined histogram of all the sample proportions from those samples. 1. What shape would the histogram of all the possible sample proportions (p-hat's) have?...
An electron is initially is at rest in a uniform electric field E in the negative...
An electron is initially is at rest in a uniform electric field E in the negative y direction and a uniform magnetic field B in the negative z direction. Solve the equations of motion given by the Lorentz Force and show the trajectory of the electron is found as: x(t)= (cE / wB) * (wt - sintwt) y(T)=(cE / wB) * (1 - coswt) where w=(eB/mc)
Say that you are looking to buy a small call and want to get a very...
Say that you are looking to buy a small call and want to get a very efficient car. You are trying to decide between a hybrids car and an electric car. Hyundai offers the Ioniq in a hybrid gas and an all-electric model. Compare these models by filling in the table below. Measure 2017 Ioniq blue 2017 Ioniq electric MPG combined (epa) MPG city (epa) MPG highway (epa) CO2 produced per mile (g/mi) in Columbia, Mo Fuel cost to drive...
1. By using the formula for the Electric Field, calculate Electric field of a solidnonconducting sphere...
1. By using the formula for the Electric Field, calculate Electric field of a solidnonconducting sphere with radius R, and charge Q distributed uniformly on the sphere, at any point a distance r from the center of the sphere for r > R and r < R. 2. By using the formula for the Electric Field, calculate Electric Field of a conductingsphere with radius R and charge Q distributed uniformly on the sphere, at any point a distance r from...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT