Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2.5, Problem 2.54P
(a)
To determine
The electric field for the given field in the form of charge distribution
(b)
To determine
To Explain:Whether, the electric field consists of a scalar potential.
(c)
To determine
The electric potential for a point charge
(d)
To determine
To Prove
(e)
To determine
To Prove:
(f)
To determine
To Draw:A triangle diagram using differential form of Gauss law in terms of charge distribution
(g)
To determine
To Show:
Some of charge is uniformly distributed inside the conductor itself.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Imagine you have four identical charge q, placed on the corners of a square. If q = 17.33 uC, then the side of the square is s = 3.41
cm, calculate the energy needed to bring these charges from infinity to their current configuration.
NOTE: Final answer in THREE decimal places. Then, state the SI unit of the variable being sought off.
(a) The fundamental SI units are meters for length, seconds for time, kilograms for mass, and
Coulomb for charge. Use the Coulomb force law for two interacting point charges (F= kq192/r²)
and the force units you already know from mechanics (N) to find the SI units for Coulomb's
constant k and the constant o = 1/4Tk. Express your answers using only the four fundamental
units.
(b) What are the units of the electric field, expressed first using force units (N) and then using only
fundamental SI units?
(c) Visualizing how an electric field varies with location is going to prove very helpful. Using arrows
at several test points in the xy plane - enough points to illustrate the behavior of the fields -
sketch the following electric fields at the test points and briefly describe the behavior of the field
in words. You only need to provide a qualitatively correct plot that is consistent with the vector
function and the description - you don't need to calculate the vectors although I will show…
eing equal to zero.
ven that the
In a Millikan Oil-Drop type experiment, oil drops with an excess charge of two electrons are
suspended between the two plates. If the mass of the oil drop is one million times the mass of the
proton, and the plates are 2.5 cm apart, what is the voltage of the upper plate relative to that of the
lower plate? Assume a uniform field between the two plates.
Chapter 2 Solutions
Introduction to Electrodynamics
Ch. 2.1 - (a) Twelve equal charges,q, arc situated at the...Ch. 2.1 - Find the electric field (magnitude and direction)...Ch. 2.1 - Find the electric field a distance z above one end...Ch. 2.1 - Prob. 2.4PCh. 2.1 - Prob. 2.5PCh. 2.1 - Find the electric field a distance z above the...Ch. 2.1 - Find the electric field a distance z from the...Ch. 2.2 - Use your result in Prob. 2.7 to find the field...Ch. 2.2 - Prob. 2.9PCh. 2.2 - Prob. 2.10P
Ch. 2.2 - Use Gauss’s law to find the electric field inside...Ch. 2.2 - Prob. 2.12PCh. 2.2 - Prob. 2.13PCh. 2.2 - Prob. 2.14PCh. 2.2 - A thick spherical shell carries charge density...Ch. 2.2 - A long coaxial cable (Fig. 2.26) carries a uniform...Ch. 2.2 - Prob. 2.17PCh. 2.2 - Prob. 2.18PCh. 2.2 - Prob. 2.19PCh. 2.3 - One of these is an impossible electrostatic field....Ch. 2.3 - Prob. 2.21PCh. 2.3 - Find the potential a distance s from an infinitely...Ch. 2.3 - Prob. 2.23PCh. 2.3 - Prob. 2.24PCh. 2.3 - Prob. 2.25PCh. 2.3 - Prob. 2.26PCh. 2.3 - Prob. 2.27PCh. 2.3 - Prob. 2.28PCh. 2.3 - Prob. 2.29PCh. 2.3 - Prob. 2.30PCh. 2.4 - Prob. 2.31PCh. 2.4 - Prob. 2.32PCh. 2.4 - Prob. 2.33PCh. 2.4 - Find the energy stored in a uniformly charged...Ch. 2.4 - Prob. 2.35PCh. 2.4 - Prob. 2.36PCh. 2.4 - Prob. 2.37PCh. 2.5 - A metal sphere of radius R, carrying charge q, is...Ch. 2.5 - Prob. 2.39PCh. 2.5 - Prob. 2.40PCh. 2.5 - Prob. 2.41PCh. 2.5 - Prob. 2.42PCh. 2.5 - Prob. 2.43PCh. 2.5 - Prob. 2.44PCh. 2.5 - Prob. 2.45PCh. 2.5 - If the electric field in some region is given (in...Ch. 2.5 - Prob. 2.47PCh. 2.5 - Prob. 2.48PCh. 2.5 - Prob. 2.49PCh. 2.5 - Prob. 2.50PCh. 2.5 - Prob. 2.51PCh. 2.5 - Prob. 2.52PCh. 2.5 - Prob. 2.53PCh. 2.5 - Prob. 2.54PCh. 2.5 - Prob. 2.55PCh. 2.5 - Prob. 2.56PCh. 2.5 - Prob. 2.57PCh. 2.5 - Prob. 2.58PCh. 2.5 - Prob. 2.59PCh. 2.5 - Prob. 2.60PCh. 2.5 - Prob. 2.61P
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
- Answer All.Compute for the work done, in millijoules, in moving a 9-nC charge radially away from the center from a distance of 3 m to a distance of 7 m against the electric field inside a solid insulating sphere of radius 11 m and total charge 7 mC.Ans: -8.5199Determine the total potential energy, in microjoules, stored in a parallelepiped of dimensions are 9 m by 6 m by 8 m if the electric field inside is given as E = 17 ar + 19 aθ + 15 aϕ V/m. Use the permittivity of free space as 8.854 × 10-12 F/m.Ans: 1.6734If the electric field in the region is given as E = -cos(θ) sin( 4 Φ) aθ + b cos( 4 Φ) aφ V/m. Determine the potential at point A(4 m, 0.46 rad, 2.07 m), in volts, if the potential at point B(4 m, 1.00 rad, 0.10 m) is 60 volts. The value of b is also the coefficient of Φ.58.4552 Compute for the potential difference, in volts, in moving a charge from A(3, 2, -2) m to B(7, -6, 6) m against the electric field due to a disk charge of radius 9 m on the plane x = 0. The disk has a…arrow_forwardConsider the following load distribution:"A thin wire of Length L has a charge Q evenly distributed over its entire length."Using Coulomb's Law to find the electric field associated with this charge distribution, "at points on the perpendicular plane passing through the midpoint of the distribution"; a) Explain how an abandoned electron would move at a distance R from the wire, where R is much smaller than the length L, with an initial velocity in the direction perpendicular to the electric field.arrow_forwardImagine a proton at rest a certain distance from a negatively charged plate. It is released and collides with the plate. Then imagine the similar case of an electron at rest the same distance away from a positively charged plate. In which case will the moving particle have the greater speed when the collision occurs? Why?arrow_forward
- ASK YOUR TEACHER Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.200 kg and 0.700 kg, and uniformly distributed charges of -2.00 μC and 6.00 pc. They are released from rest when their centers are separated by 1.00 m. (a) How fast will each be moving when they collide? (Hint: Consider conservation of energy and of linear momentum.) m/s (lighter sphere) m/s (heavier sphere) (b) If the spheres were conductors, would the speeds be greater or less than those calculated in part (a)? (Note: Assume a reference level of potential V = 0 at r=0.) O the same greater O less than Explain your answer. To 7 1 Z 2 F2 W S X X 3 20 F3 E D $ 4 C R F % 5 T G MacBook Air 6 C Y & 7 H U N 8 ( 9 JK M MY NOTES O .arrow_forwardA proton circulates in a cyclotron, beginning approximatelyat rest at the center.Whenever it passes through the gap betweendees, the electric potential difference between the dees is 200 V.(a) By how much does its kinetic energy increase with each passagethrough the gap? (b) What is its kinetic energy as it completes100 passes through the gap? Let r100 be the radius of the proton’scircular path as it completes those 100 passes and enters a dee,and let r101 be its next radius, as it enters a dee the next time. (c) Bywhat percentage does the radius increase when it changes fromr100 to r101? That is, what is percentage increase r101 - r100/r100 100%?arrow_forward#2 (a) The fundamental SI units are meters for length, seconds for time, kilograms for mass, andCoulomb for charge. Use the Coulomb force law for two interacting point charges (F = kq1q2/r2)and the force units you already know from mechanics (N) to find the SI units for Coulomb’sconstant k and the constant 0 = 1/4πk. Express your answers using only the four fundamentalunits. (b) What are the units of the electric field, expressed first using force units (N) and then using onlyfundamental SI units? (c) Visualizing how an electric field varies with location is going to prove very helpful. Using arrowsat several test points in the xy plane - enough points to illustrate the behavior of the fields -sketch the following electric fields at the test points and briefly describe the behavior of the fieldin words. You only need to provide a qualitatively correct plot that is consistent with the vectorfunction and the description - you don’t need to calculate the vectors although I will show…arrow_forward
- Can someone please do this task step by step.Find the electric field (magnitude and direction) a distance z above the midpoint between twoequal charges q, a distance d apart (Fig. 6).arrow_forwardThe following sequence of problems guides you through the calculation of the total electrie field at a target point in space when there are two source partieles. We'll stick to two dimensions (get rid of the z-axis) just to reduce some of the arithmetic. The source partieles are both located on the z-axis with source 1 at z = 5 em and source 2 at zz = -5 cm. Source 1 has charge -5 uC while source 2's charge is 3 µC. 2. First, calculate the electric field vector due to source I at the target location, (5,6) em. [Enter your answer with the following format: X*i+Y*j. where you substitute the numerical values of the components along the z and y directions in place of the "X and "Y' in the expression. The letters i and j represent the unit vectors along different directions. Use the asterisks to denote multiplication. Make sure to convert your units to standard MKS base units and use two-decimal precision. Denote powers of ten with engineering notation, for example 1.23 x 10 should be…arrow_forwardCompute for the work done, in millijoules, in moving a 9-nC charge radially away from the center from a distance of 3 m to a distance of 7 m against the electric field inside a solid insulating sphere of radius 11 m and total charge 7 mC.Ans: -8.5199Determine the total potential energy, in microjoules, stored in a parallelepiped of dimensions are 9 m by 6 m by 8 m if the electric field inside is given as E = 17 ar + 19 aθ + 15 aϕ V/m. Use the permittivity of free space as 8.854 × 10-12 F/m.Ans: 1.6734If the electric field in the region is given as E = -cos(θ) sin( 4 Φ) aθ + b cos( 4 Φ) aφ V/m. Determine the potential at point A(4 m, 0.46 rad, 2.07 m), in volts, if the potential at point B(4 m, 1.00 rad, 0.10 m) is 60 volts. The value of b is also the coefficient of Φ.58.4552 Compute for the potential difference, in volts, in moving a charge from A(3, 2, -2) m to B(7, -6, 6) m against the electric field due to a disk charge of radius 9 m on the plane x = 0. The disk has a total charge…arrow_forward
- A positively charged oil droplet remains in the electric field between twohorizontal plates, separated by a distance 1 cm. If the charge on the drop is3.2 x 10^-19 C and the mass of the droplet is 10^-14 kg what is the potentialdifference between the plates? Now if the polarity of the plates is reversedwhat is the instantaneous acceleration of the droplet?arrow_forwardIn the figure below, determine the point (other than infinity) at which the electric field is zero. (Let q, = -1.65 µC and q2 = 6.90 µc.) -1.00 m-arrow_forwardIn 1910 R. A. Millikan8 studied the motion of tiny droplets of oil falling in an electric field. A field of strength E exerts a force Ee on a droplet with charge e. Assume that E has been adjusted so the droplet is held stationary (v = 0) and that w and B are as given above. Find an expression for e. Millikan repeated this experiment many times, and from the data that he gathered he was able to deduce the charge on an electron.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY