18th Edition

ISBN: 9781938168161

Author: OpenStax

Publisher: OpenStax

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Combination of Capacitors

The connection of capacitors can be established in a circuit in two ways.

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Textbook Question

Chapter 7, Problem 32P

(a) What is the average power output of a heart

defibrillator that dissipates 400 J of energy in 10.0 ms? (b) Considering the high-power output, why doesn’t the defibrillator produce serious bums?

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Chapter 7, Problem 31P

Chapter 7, Problem 33P

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(a) What is the average power output of a heart defibrillator that dissipates 400 J of energy in 10.0 ms? (b) Considering the high-power output, why doesn’t the defibrillator produceserious burns?

A capacitor with a capacitance of 3.5 uF is initially uncharged. It is connected in series with a switch of negligible resistance, a resistor with a resistance of 10.5 kOhm, and a battery that has a potential difference of 105V. (a) Immediately after the switch is closed, what is the voltage drop VC, in volts, across the capacitor? (b) Immediately after the switch is closed, what is the voltage drop VR, in volts, across the resistor? (c) Immediately after the switch is closed, what is the current, in amperes, through the resistor? (d) Find an expression for the time after the switch is closed when the current in the resistor equals half its maximum value. (e) What is the charge Q, in microcoulombs, on the capacitor when the current in the resistor equals one half its maximum value.

A Christmas light is made to flash via the discharge of a capacitor. The effective duration of the flash is 0.21 s (which you can assume is the time constant of the capacitor), during which it produces an average 35 mW from an average voltage of 2.85 V. How much energy, in joules, does it dissipate?

Chapter 7 Solutions

University Physics Volume 2

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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