Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2.1, Problem 2.7P
Find the electric field a distance z from the center of a spherical surfaceof radius R (Fig. 2.11) that carries a uniform charge density
σ . Treat the case
z<R (inside) as well as
z>R (outside). Express your answers in terms of the total chargeq on the sphere. [Hint: Use the law of cosines to write 
in terms of R and
θ . Be sure to take the positive square root:
√R2+z2−2Rz=(R−z) if
R>z , but it’s
(z−R) if
R<z .]
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule11:00
Students have asked these similar questions
Calculate the value of the force F at which the 20 kg uniformly dense cabinet
will start to tip. Calculate the acceleration of the cabinet at this force F. Must
include the FBD and KD of the system. Ignore friction.
1) A 2.0 kg toy car travelling along a smooth horizontal surface experiences a horizontal force Fas shown in the
picture to the left. Assuming the rightward direction to be positive and if the car has an initial velocity of 60.0m/s
to the right, calculate the velocity of the car after the first 10.0s of motion. (Force is in Newtons and time in
seconds). (Hint: Use impulse-momentum theorem)
F
5.0
10
0
-10
3) Two bumper cars of masses 600 kg and 900 kg travelling (on a smooth surface) with velocities 8m/s and 4 m/s
respectively, have a head on collision. If the coefficient of restitution is 0.5. a) What sort of collision is this? b)
Calculate their velocities immediately after collision. c) If the coefficient of restitution was 1 instead of 0.5, what
is the amount of energy lost during collision?
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
Additional Science Textbook Solutions
Find more solutions based on key concepts
Which coastal area experiences the largest tidal range difference in height between the high tide and low tide?...
Applications and Investigations in Earth Science (9th Edition)
47. Your telescope has an objective lens with a focal length of 1.0 m. You point the telescope at the moon, onl...
College Physics: A Strategic Approach (3rd Edition)
16. A 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At , the mass is at and ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Modified True/False 9. A giant bacterium that is large enough to be seen without a microscope is Selenomonas.
Microbiology with Diseases by Body System (5th Edition)
1. Define and distinguish incomplete penetrance and variable expressivity.
Genetic Analysis: An Integrated Approach (3rd Edition)
All of the following terms can appropriately describe humans except: a. primary consumer b. autotroph c. hetero...
Human Biology: Concepts and Current Issues (8th Edition)
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
- The rectangular loop of wire shown in the figure (Figure 1) has a mass of 0.18 g per centimeter of length and is pivoted about side ab on a frictionless axis. The current in the wire is 8.5 A in the direction shown. Find the magnitude of the magnetic field parallel to the y-axis that will cause the loop to swing up until its plane makes an angle of 30.0 ∘ with the yz-plane. Find the direction of the magnetic field parallel to the y-axis that will cause the loop to swing up until its plane makes an angle of 30.0 ∘ with the yz-plane.arrow_forwardGive a more general expression for the magnitude of the torque τ. Rewrite the answer found in Part A in terms of the magnitude of the magnetic dipole moment of the current loop m. Define the angle between the vector perpendicular to the plane of the coil and the magnetic field to be ϕ, noting that this angle is the complement of angle θ in Part A. Give your answer in terms of the magnetic moment mm, magnetic field B, and ϕ.arrow_forwardCalculate the electric and magnetic energy densities at thesurface of a 3-mm diameter copper wire carrying a 15-A current. The resistivity ofcopper is 1.68×10-8 Ω.m.Prob. 18, page 806, Ans: uE= 5.6 10-15 J/m3 uB= 1.6 J/m3arrow_forward
- A 15.8-mW laser puts out a narrow beam 2.0 mm in diameter.Suppose that the beam is in free space. What is the rms value of E in the beam? What isthe rms value of B in the beam?Prob. 28, page 834. Ans: Erms= 1380 V/m, Brms =4.59×10-6 Tarrow_forwardA 4.5 cm tall object is placed 26 cm in front of a sphericalmirror. It is desired to produce a virtual image that is upright and 3.5 cm tall.(a) What type of mirror should be used, convex, or concave?(b) Where is the image located?(c) What is the focal length of the mirror?(d) What is the radius of curvature of the mirror?Prob. 25, page 861. Ans: (a) convex, (b) di= -20.2 cm, i.e. 20.2 cm behind the mirror,(c) f= -90.55 cm, (d) r= -181.1 cm.arrow_forwardA series RCL circuit contains an inductor with inductance L=3.32 mH, and a generator whose rms voltage is 11.2 V. At a resonant frequencyof 1.25 kHz the average power delivered to the circuit is 26.9 W.(a) Find the value of the capacitance.(b) Find the value of the resistance.(c) What is the power factor of this circuit?Ans: C=4.89 μF, R=4.66 Ω, 1.arrow_forward
- A group of particles is traveling in a magnetic field of unknown magnitude and direction. You observe that a proton moving at 1.70 km/s in the +x-direction experiences a force of 2.06×10−16 N in the +y-direction, and an electron moving at 4.40 km/s in the −z-direction experiences a force of 8.10×10−16 N in the +y-direction. What is the magnitude of the magnetic force on an electron moving in the −y-direction at 3.70 km/s ? What is the direction of this the magnetic force? (in the xz-plane)arrow_forwardA particle with a charge of −5.20 nC is moving in a uniform magnetic field of B =−( 1.22 T )k^. The magnetic force on the particle is measured to be F=−( 3.50×10−7 N )i^+( 7.60×10−7 N )j^. Calculate the x component of the velocity of the particle.arrow_forwardIs it possible for average velocity to be negative?a. Yes, in cases when the net displacement is negative.b. Yes, if the body keeps changing its direction during motion.c. No, average velocity describes only magnitude and not the direction of motion.d. No, average velocity describes only the magnitude in the positive direction of motion.arrow_forward
- Tutorial Exercise An air-filled spherical capacitor is constructed with an inner-shell radius of 6.95 cm and an outer-shell radius of 14.5 cm. (a) Calculate the capacitance of the device. (b) What potential difference between the spheres results in a 4.00-μC charge on the capacitor? Part 1 of 4 - Conceptualize Since the separation between the inner and outer shells is much larger than a typical electronic capacitor with separation on the order of 0.1 mm and capacitance in the microfarad range, we expect the capacitance of this spherical configuration to be on the order of picofarads. The potential difference should be sufficiently low to avoid sparking through the air that separates the shells. Part 2 of 4 - Categorize We will calculate the capacitance from the equation for a spherical shell capacitor. We will then calculate the voltage found from Q = CAV.arrow_forwardI need help figuring out how to do part 2 with the information given in part 1 and putting it in to the simulation. ( trying to match the velocity graph from the paper onto the simulation to find the applied force graph) Using this simulation https://phet.colorado.edu/sims/cheerpj/forces-1d/latest/forces-1d.html?simulation=forces-1d.arrow_forwardI need help running the simulation to get the result needed.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Ising model | A Bird's Eye View | Solid State Physics; Author: Pretty Much Physics;https://www.youtube.com/watch?v=1CCZkHPrhzk;License: Standard YouTube License, CC-BY