University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 7, Problem 43P
The electric field in a region is pointed away from the z-axis and the magnitude depends upon the distance s from the axis. The magnitude of the electric field is given as
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A spherical capacitor contains a charge of 3.30 nC when connected to a potential difference of 210.0 V. Its plates are separated by vacuum and the inner radius of the outer shell is 5.00 cm.
Part A: Calculate the capacitance.(Express your answer in picofarads.)
Part B: Calculate the radius of the inner sphere.(Express your answer in centimeters.)
Part C: Calculate the electric field just outside the surface of the inner sphere.(Express your answer in newtons per coulomb.)
The electric potential in a region is given as a function of r:
V(r) =
4xeo
where Ris a constant with dimensions of length. Find the electric field vector atr=(R/2).
O b.
C.
E
The electric field of a charge distribution is found to be E = f Eoe +).
where Eo, µ are constant parameters and r is the radial distance to the origin of the
coordinate system, which also coincides with the radial coordinate. r is the unit vector
along the direction of increasing r. What is the corresponding electric potential at
coordinate r, if the potential goes to zero as r o?
Select one:
V(r) = Eo,
e ur
V(r) = Eo
e kr
V (r) = E
o V(r) = Eo
Chapter 7 Solutions
University Physics Volume 2
Ch. 7 - Check Your Understanding If Q has a mass of 4.00 g...Ch. 7 - Check Your Understanding What is the potential...Ch. 7 - Check Your Understanding Is the electrical...Ch. 7 - Check Your Understanding How much energy does a...Ch. 7 - Check Your Understanding How many electrons would...Ch. 7 - Check Your Understanding How would this example...Ch. 7 - Check Your Understanding From the examples, how...Ch. 7 - Check Your Understanding What is the potential...Ch. 7 - Check Your Understanding What is the potential on...Ch. 7 - Check Your Understanding What is the potential on...
Ch. 7 - Check Your Understanding Which coordinate system...Ch. 7 - Check Your Understanding What are the...Ch. 7 - Would electric potential energy be meaningful if...Ch. 7 - Why do we need to be careful about work done on...Ch. 7 - Does the order in which we assemble a system of...Ch. 7 - Discuss how potential difference and electric...Ch. 7 - What is die strength of the electric field in a...Ch. 7 - If a proton is released from rest in an electric...Ch. 7 - Voltage is the common word for potential...Ch. 7 - If the voltage between two points is zero can a...Ch. 7 - Wliat is the relationship between voltage and...Ch. 7 - Voltages are always measured between two points...Ch. 7 - How are units of volts and electron-volts related?...Ch. 7 - Can a particle move in a direction of increasing...Ch. 7 - Compare the electric dipole moments of charges +Q...Ch. 7 - Would Gauss’s law be helpful for determining the...Ch. 7 - In what region of space is the potential due to a...Ch. 7 - Can the potential of a nonuniformly charged sphere...Ch. 7 - If the electric field is zero throughout a region,...Ch. 7 - Explain why knowledge of E(x, y, z) is not...Ch. 7 - If two points are at the same potential, are there...Ch. 7 - Suppose you have a map of equipotential surfaces...Ch. 7 - Is the electric potential necessarily constant...Ch. 7 - Linder electrostatic conditions, the excess charge...Ch. 7 - - Can a positively charged conductor be at a...Ch. 7 - Can equipotential surfaces intersect?Ch. 7 - Why are the metal support rods for satellite...Ch. 7 - (a) Why are fish reasonably safe in an electrical...Ch. 7 - What are the similarities and differences between...Ch. 7 - About what magnitude of potential is used to...Ch. 7 - Consider a charge Q1(1+5.0C) fixed at a site with...Ch. 7 - Two charges Q1(1+2.00C) and Q2(+2.00C are placed...Ch. 7 - To form a hydrogen atom, a proton is fixed at a...Ch. 7 - (a) What is the average power output of a heart...Ch. 7 - Find the ratio of speeds of an electron and a...Ch. 7 - An evacuated tube uses an accelerating voltage of...Ch. 7 - Show that units of V/m and N/C for electric field...Ch. 7 - What is the strength of the electric field between...Ch. 7 - The electric field strength between two parallel...Ch. 7 - The voltage across a membrane forming a cell wall...Ch. 7 - Two parallel conducting plates are separated by...Ch. 7 - Find the maximum potential difference between two...Ch. 7 - An electron is to be accelerated in a uniform...Ch. 7 - Use die definition of potential difference in...Ch. 7 - The electric field in a region is pointed away...Ch. 7 - Singly charged gas ions are accelerated from rest...Ch. 7 - A 0.500-cm-diameter plastic sphere, used in a...Ch. 7 - How far from a 1.00C point charge is the potential...Ch. 7 - If the potential due to a point charge is 5.00102...Ch. 7 - In nuclear fission, a nucleus splits roughly in...Ch. 7 - A research Vail de Graaff generator has a 2.00-m-...Ch. 7 - An electrostatic paint sprayer has a...Ch. 7 - (a) What is the potential between two points...Ch. 7 - Find the potential at points P1,P2,andP4 in the...Ch. 7 - Two charges 20Cand+2.0C are separated by 4.0 cm on...Ch. 7 - (a) Plot the potential of a uniformly charged 1-m...Ch. 7 - Throughout a region, equipotential surfaces are...Ch. 7 - In a particular region, the electric potential is...Ch. 7 - Calculate the electric field of an infinite line...Ch. 7 - Two very large metal plates are placed 2.0 cm...Ch. 7 - A very large sheet of insulating material has had...Ch. 7 - A metallic sphere of radius 2.0 cm is charged with...Ch. 7 - Two large charged plates of charge density 30C/m2...Ch. 7 - A long cylinder of aluminum of radius R meters is...Ch. 7 - Two parallel plates 10 cm on a side are given...Ch. 7 - The surface charge density on a long straight...Ch. 7 - Concentric conducting spherical shells carry...Ch. 7 - Shown below are two concentric spherical shells of...Ch. 7 - A solid cylindrical conductor of radius a is...Ch. 7 - (a) What is the electric field 5.00 m from die...Ch. 7 - (a) What is the direction and magnitude of an...Ch. 7 - A simple and common technique for accelerating...Ch. 7 - In a Geiger counter, a thin metallic wire at the...Ch. 7 - The practical limit to all electric field in air...Ch. 7 - To form a helium atom, an alpha particle that...Ch. 7 - Find the electrostatic energy of eight equal...Ch. 7 - The probability of fusion occurring is greatly...Ch. 7 - A bare helium nucleus has two positive charges and...Ch. 7 - An election enters a region between two large...Ch. 7 - How far apart are two conducting plates that have...Ch. 7 - (a) Will the electric field strength between two...Ch. 7 - Membrane walls of living cells have surprisingly...Ch. 7 - A double charged ion is accelerated to an energy...Ch. 7 - The temperature near the center of the Sun is...Ch. 7 - A lightning bolt strikes a tree, moving 20.0 C of...Ch. 7 - What is the potential 0.5301010 m from a proton...Ch. 7 - (a) A sphere has a surface uniformly charged with...Ch. 7 - What are the sign and magnitude of a point charge...Ch. 7 - In one of the classic nuclear physics experiments...Ch. 7 - A 12.0-V battery-operated bottle warmer heats 50.0...Ch. 7 - A battery-operated car uses a 12.0-V system. Find...Ch. 7 - (a) Find the voltage near a 10.0 cm diameter metal...Ch. 7 - A uniformly charged ring of radius 10 cm is placed...Ch. 7 - A glass ring of radius 5.0 cm is painted with a...Ch. 7 - A CD disk of radius (R = 3.0 cm) is sprayed with a...Ch. 7 - (a) What is the final speed of an electron...Ch. 7 - A large metal plate is charged uniformly to a...Ch. 7 - Your friend gets really excited by the idea of...Ch. 7 - (a) Find x L limit of the potential of a finite...Ch. 7 - A small spherical pith ball of radius 0.50 cm is...Ch. 7 - Two parallel conducting plates, each of...Ch. 7 - A point charge of q=50108 C is placed at the...Ch. 7 - Earth has a net charge that produces an electric...Ch. 7 - Point charges of 25.0/ C and 45. C are placed...Ch. 7 - What can you say about two charges q1and q2 if the...Ch. 7 - Calculate the angular velocity of an electron...Ch. 7 - An electron has an initial velocity of 5.00106m/s...Ch. 7 - Three Na+ and three Cl ions are placed alternately...Ch. 7 - Look up (presumably online, or by dismantling an...Ch. 7 - Use the electric field of a finite sphere with...Ch. 7 - Calculate the electric field of a dipole...
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