A lab technician wishes to model the process by which an airplane allows any charge build-up acquired in flight to leak off. She is aware that planes have needle shaped metal extensions on the wings and tail to accomplish this and that the process works, because the electric field around the needle is much larger than around the body of the plane, causing dielectric breakdown of the air and discharging the plane. Her model consists of two conducting spheres connected by a conducting wire. The sphere representing the plane has a radius of 6.00 m, the sphere representing the tip of the needle has a radius of 2.00 cm, and a total charge of 68.0 µC is placed on the combination. (a) Determine the electric potential (in V) at the surface of each sphere. V large sphere V V small sphere V (b) Determine the electric field (in V/m) at the surface of each sphere. magnitude |Elarge spherel V/m %3! direction away from the sphere magnitude |Esmall sphere! V/m direction away from the sphere

A lab technician wishes to model the process by which an airplane allows any charge build-up acquired in flight to leak off. She is aware that planes have needle shaped metal extensions on the wings and tail to accomplish this and that the process works, because the electric field around the needle is much larger than around the body of the plane, causing dielectric breakdown of the air and discharging the plane. Her model consists of two conducting spheres connected by a conducting wire. The sphere representing the plane has a radius of 6.00 m, the sphere representing the tip of the needle has a radius of 2.00 cm, and a total charge of 68.0 µC is placed on the combination. (a) Determine the electric potential (in V) at the surface of each sphere. V large sphere V V small sphere V (b) Determine the electric field (in V/m) at the surface of each sphere. magnitude |Elarge spherel V/m %3! direction away from the sphere magnitude |Esmall sphere! V/m direction away from the sphere

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: When a certain air-filled parallel-plate capacitor is connected across a battery, it acquires a…

A: The formula for the charge stored on a capacitor is:

Q: A Van de Graaff generator has a 0.250 m diameter metal sphere that produces a voltage of 100 kV near…

A: Given Diameter = 0.250 m Voltage = 100 kV We have to calculate the excess charge on the surface.

Q: A vacuum parallel plate capacitor was previously charged by connecting it to a power source.…

A: Given information , Voltage difference = 10V A = 6cm2 =0.0006m2 d = 5mm =0.005 Dielectric constant,k…

Q: potential difference

A: Given: Mass of bead is m=4.96 g Charge is q=17.2 μC The bead is accelerated from rest through V…

Q: Two square, parallel metal plates that are 20 cm long on each side are separated by a 3.0 mm air…

A: Two square, parallel metal plates that are 20 cm long on each side are separated by a 3.0 mm air…

Q: A solid conducting sphere with a 11 cm radius sits inside a hollow conducting sphere with a 13 cm…

Q: 6. A spherical capacitor is composed of a solid conducting sphere concentric with a larger spherical…

A: From Gauss's law1. For region R<r<2RElectric flux ϕ = ∫E.ds = Qεbut ε = K1ε0so electric flux…

Q: Students in an introductory physics lab are producing a region of uniform electric field by applying…

Q: Two parallel plates (with a dielectric in between) each have an area of 28.2 cm2. The E-field…

Q: A parallel-plate capacitor is formed from two 2.8 cm-diameter electrodes spaced 2.6 mm apart. The…

Q: 1 Charged Rod L A metal rod of length L = 30 cm has been charged up for a physics demonstration. It…

A: Given: The length of the metal rod is L = 30 cm The total charge of the rod is Q = 5 μC The distance…

Q: A capacitor is created by two metal plates. Each plate has dimensions L = 0.39 m and W = 0.38 m. The…

A: The objective of the question is to find the expressions for the magnitude of the electric field…

Q: Given a ebonite rod, a glass rod and an acrylic rod. And three cloths, one made of silk (white),…

A: To determine which combination of rod and cloth should lead to the largest charge transfer, we need…

Q: In the early 1900s, Robert Millikan used small charged droplets of oil, suspended in an electric…

Q: A charge of + 50 nC is distributed uniformly along the circumference of a circle with a radius of 15…

Q: To build a capacitor, you use two 3.50 cm × 3.50 cm metal plates for the electrodes and a 0.280 mm…

A: The correct option is:0.182 nF Here, we used the formula for capacitance and solved for it as shown…

Q: A parallel-plate capacitor is made from two aluminum-foil sheets, each 4.9 cm wide and 5.2 m long.…

Q: A solid sphere conductor has radius R and charge -Q at electrostatic equilibrium, rank a, b, and c…

A: Here is an image that illustrates it better

Q: In the figure below, equipotential surfaces are shown along the z-axis. The surfaces are equally…

A: V=100 V at z = 0.00 mV=200 V at z = 0.50 mV=300 V at z = 1.00 m.need to determine the magnitude of…

Q: An electric field of 8.00x105 V/m is desired between two parallel plates, each of area 45.0 cm and…

Q: Two parallel plates of area 100 cm2 are given charges of equal magnitudes 8.9 × 10–7 C but opposite…

A: Given:- Two parallel plates are given. To find:- Dielectric constant Magnitude of induced charge.…

Q: Imagine that we want to construct a 100 uF parallel-plate capacitor whose metal plates have an area…

Q: An eletrostatic paint sprayer consists of a charged metal sphere. Charged paint droplets (the sign…

A: An electrostatic spray is done with the help of electrostatic spray gun is a device that uses…

Q: An insulating sphere has a positive charge of +1.50x10-9C uniformly spread throughout its volume.…

A: charge (Q) spread throughout insulating sphere= 1.50×10-9 C q = -2.3×10-6 Cmass (m) = 1.40×10-4 kg…

Q: Two positive, uniformly charged insulating spheres initially at rest are allowed to touch as…

A: Lets find the potential energy of the system. Potential energy linked between both the spheres are:-…

Q: Please help me with this. I need help. I don't understand. Don't use chatgpt.

Q: Electric charge can accumulate on an airplane in flight. You may have observed needle-shaped metal…

A: The given total charge is We find out the electric potential and electric field.

Q: A conducting sphere of radius 10 cm has a charge of 100 nC. A-4 cm and B 12 cm are points measured…

A: Given information: The radius of the conducting sphere, R=10 cm=0.1 m The charge on the sphere,…

Q: Two identical balls each having a density pare suspended from a common point by two insulating…

Q: If the separation between the two plates of a parallel plate capacitor is 2 mm, what is the minimum…

A: Breakdown voltage - Across relatively small gaps, breakdown voltage in air is a function of gap…

Q: An electric field of 7.50×105 V/m is desired between two parallel plates, each of area 45.0 cm2 and…

A: Given: In this question, the given values are, E=7.50×105 V/m A=45×10-4 m2 d=2.45×10-3 m To find the…

Q: If the electric field inside a capacitor exceeds the dielectric strength of the dielectric between…

A: Dielectric strength of air , Emaxair = 3 x 106 V/m Dielectric strength of neoprene , Emaxneo = 1.2 x…

Q: 5. A uniform electric field of magnitude 325 V/m is directed in the negative y direction in Figure.…

A: Given data: The magnitude of the electric field, E=325 V/m. The coordinates of point A, (xA,…

Q: airplane, has a radius of 6.00 m, and the other, representing the tip of the needle, has a radius of…

A: Electric Potential The electric potential at a point is the amount of work done by an external…

Q: A student is trying to build a home-made capacitor. He uses two 1.0 cm x 1.0 cm aluminum foil as the…

Q: 60 V 20 V 100 V Let the very thin spherical conducting shells with known potential values given as…

A: The work done by the electrical force is given by Where q = Charge on particle ΔV = Potential…

Q: A charge of + 40 nC is distributed uniformly along the circumference of a circle with a radius of 10…

Q: 9. Charged particles of dust drift into a region where there is a uniform electric field. One of the…

Q: A 12-volt battery is attached to two parallel metal plates. The dimensions of each plate are 20 cm…

Q: Two large parallel plates are separated by a 0.015-m gap. The plates are connected to the terminals…

Concept explainers

Dielectric Constant Of Water

Water constitutes about 70% of earth. Some important distinguishing properties of water are high molar concentration, small dissociation constant and high dielectric constant.

Electrostatic Potential and Capacitance

An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.

Question

A lab technician wishes to model the process by which an airplane allows any charge build-up acquired in flight to leak off.
She is aware that planes have needle shaped metal extensions on the wings and tail to accomplish this and that the
process works, because the electric field around the needle is much larger than around the body of the plane, causing
dielectric breakdown of the air and discharging the plane. Her model consists of two conducting spheres connected by a
conducting wire. The sphere representing the plane has a radius of 6.00 m, the sphere representing the tip of the needle
has a radius of 2.00 cm, and a total charge of 68.0 µC is placed on the combination.
(a) Determine the electric potential (in V) at the surface of each sphere.
V
Vlarge sphere
=
V
small sphere
V
(b) Determine the electric field (in V/m) at the surface of each sphere.
magnitude
TElarge sphere
V/m
=
direction
away from the sphere
magnitude
TEsmall sphere
V/m
direction
away from the sphere

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An alpha particle with kinetic energy 11.0 MeV makes a head-on- collision with a lead nucleus at rest. What is the distance of closest approach of the two particles? (Assume that the lead nucleus remains stationary and that it may be treated as a point charge. The atomic number of lead is 82. The alpha particle is a helium nucleus, with atomic number 2.)
An insulating material with a dielectric constant of 2.8 is placed between two parallel metal plates of equal diameter and 3 cm. compressed to a thickness of 2 mm. If 1.5 V is applied to the plates, the charge accumulated in one of the metals how many pc (pico Coulomb) is its size? A) 13 B) 9 C) 7 D) 5 E) 11
When the electric field in air exceeds a value of EDB = 3*10^6V/m (the dielectric strength), dielectric breakdown occurs and the air becomes ionized. If the electric field at the surface of a conductor exceeds this value, the ionization of the air will remove charge from the conductor until the electric field no longer exceeds 3*10^6V/m. What is the maximum charge that can be held on a conducting sphere in air in terms of the sphere's radius R and the dielectric strength of air EDB? (in terms, no specific numbers)
The inner and outer surfaces of a cell membrane carry a negative and positive charge, respectively. Because of these charges, a potential difference of about 0.068 V exists across the membrane. The thickness of the membrane is 8.1 x 10-9 m. What is the magnitude of the electric field in the membrane?
I have a question regarding electromagnetism. The question is as follows: In places such as hospital operating rooms and factories for electronic circuit boards, electric sparks must be avoided. A person standing on a grounded floor and touching nothing else can typically have a body capacitance of 150 pF, in parallel with a foot capacitance of 80.0 pF produced by the dielectric soles of his or her shoes. The person acquires static electric charge from interactions with his or her surroundings. The static charge flows to ground through the equivalent resistance of the two shoe soles in parallel with each other. A pair of rubber-soled street shoes can present an equivalent resistance of 5.00 103 MΩ. A pair of shoes with special static-dissipative soles can have an equivalent resistance of 1.00 MΩ. Consider the person's body and shoes as forming an RC circuit with the ground. (a) How long does it take the rubber-soled shoes to reduce a person's potential from 2.73 103 V to 100 V? (b)…
Two identical balls each having a density p are suspended from a common point by two insulating strings of equal length. Both the balls have equal mass and charge. In equilibrium, each string makes an angle with the vertical. Now, both the balls are immersed in a liquid. As a result, the angle does not change. The density of liquid is o. Find the dielectric constant of the liquid.
The equipotential surfaces for a uniform electric field are parallel planes. What is the distance between planes that are separated by 250 V in a field where E=3500 N/C? 14 cm 57 on 31 cm 21 cm 7.1 cm
A student is trying to build a home-made capacitor. He uses two 1.0 cm x 1.0 cm aluminum foil as the two parallel conducting plates, spaced 0.40 cm apart. He then connects the two foils with a 3.0 V battery. How many electrons are stored in the negative plate?
Your friend gets really excited by the idea of making a lightning rod or maybe just a sparking toy by connecting two spheres and making R2 so small that the electric field is greater than the dielectric strength of air, just from the usual 150 V/m electric field near the surface of the Earth. If R1 is 10 cm, how small does R2 need to be, and does this seem practical? (Hint: recall the calculation for electric field at the surface of a conductor from Gauss’s Law.)
Suppose a dielectric sphere of radius a and permittivity e = 260, containing a net charge Q1 uniformly distributed in its volume, is surrounded by another conducting sphere of inner radius a and outer radius b. a) Find an expression for E valid in each region. b) Find an expression for V valid in each region. c) Make separate graphs for |E/(Q1/4T€0)| and V/(Q1/4T€0) as a function of r valid for each region.
Two large parallel plates are separated by a 0.015-m gap. The plates are connected to the terminals of a 12-V battery, which remains connected. a) What is the strength of the electric field in the region between the plates? b) What happens to the strength of the electric field if the gap between the plates is reduced to 0.010 m? Justify your answer. c) Does charge flow through the battery as the separation between the plates is being reduced? Explain your answer.
Near the surface of the Earth, there is an electric field (even when there is no thunderstorm). Usually, the air is positively charged, and the ground is negatively charged, creating an electric field of typically 100V/m, pointing vertically down. This phenomenon is known as “atmospheric electricity". In our discussions below, treat this electric field as uniform, so that we have plane symmetry in the system. Human body has an average dielectric constant of ɛ, = 50. Under the atmospheric electricity, the human body can be treated as a linear dielectric. a) For a person standing on the surface of the Earth, calculate the electric field inside the human body due to the atmospheric electricity. b) For the same person, calculate the polarization inside the body due to the atmospheric electricity. c) For the same person, calculate the surface bound charge density on the top of their head and the surface bound charge density on the bottom of their feet. d) Briefly explain why you cannot…