College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Textbook Question
Chapter 19, Problem 13PE
Show that units of Vim and N/C for electric field strength are indeed equivalent.
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Dry air can support a maximum electric field strength of about 3.0 × 106 V/m. Above that value, the field creates enough ionization in the air to make the air a conductor. This allows a discharge or spark that reduces the field. What, then, is the maximum voltage between two parallel conducting plates separated by 2.5 cm of dry air?
To see why, compute the force of Earth’s gravity on an electron and compare it with the force exerted on the electron by an electric field of magnitude 14000 V/m (a relatively small field). Express your answer to two significant figures and include the appropriate units.
Two parallel conducting plates are separated by 15.0 cm, and one of them is taken to be at zero volts. If the electric field strength between the plates is 5625V/m, What is the voltage between the plates?
Chapter 19 Solutions
College Physics
Ch. 19 - Voltage is the common word for potential...Ch. 19 - It the voltage between two points is zero, can a...Ch. 19 - What is the relationship between voltage and...Ch. 19 - Voltages are always measured between two points....Ch. 19 - How are units of volts and electron volts related?...Ch. 19 - Discuss how potential difference and electric...Ch. 19 - What is the strength of the electric field in a...Ch. 19 - Will a negative charge, initially at rest, move...Ch. 19 - In what region of space is the potential due to a...Ch. 19 - Can the potential of a non-uniformly charged...
Ch. 19 - What is an equipotential line? What is an...Ch. 19 - Explain in your own words why equipotential lines...Ch. 19 - Can different equipotential lines cross? Explain.Ch. 19 - Does the capacitance of a device depend on the...Ch. 19 - Use the characteristics of the of the Coulomb...Ch. 19 - Give the reason why a dielectric material...Ch. 19 - Prob. 17CQCh. 19 - Sparks will occur between the plates of an air...Ch. 19 - Water has a large dielectric constant, but it is...Ch. 19 - Membranes ii living cells, including those in...Ch. 19 - If you wish to store a large amount of energy m a...Ch. 19 - How does the energy contained in a charged...Ch. 19 - What happens to the energy stored in a capacitor...Ch. 19 - Find the ratio of speeds of an electron and a...Ch. 19 - An evacuated tube uses an accelerating voltage of...Ch. 19 - A bare helium nucleus has two positive charges and...Ch. 19 - Integrated Concepts Singly charged gas ions are...Ch. 19 - Integrated Concepts The temperature near the...Ch. 19 - Integrated Concepts (a) What is the average power...Ch. 19 - Integrated Concepts A lightning bolt strikes a...Ch. 19 - Integrated Concepts: A 12.0 V battery-operated...Ch. 19 - Integrated Concepts A battery-operated car...Ch. 19 - Integrated Concepts Fusion probability is greatly...Ch. 19 - Unreasonable Results (a) Find the voltage near a...Ch. 19 - Construct Your Own Problem Consider a battery used...Ch. 19 - Show that units of Vim and N/C for electric field...Ch. 19 - What is the strength of the electric field between...Ch. 19 - The electric field strength between two parallel...Ch. 19 - How far apart are two conducting plates that have...Ch. 19 - (a) Will the electric field strength between two...Ch. 19 - The voltage across a membrane forming a cell wall...Ch. 19 - Membrane walls of living cells have surprisingly...Ch. 19 - Two parallel conducting plates are separated by...Ch. 19 - Find the maximum potential difference between two...Ch. 19 - A doubly charged ion is accelerated to an energy...Ch. 19 - An electron is to be accelerated in a uniform...Ch. 19 - A 0.500 cm diameter plastic sphere, used in a...Ch. 19 - What is the potential 0.530 x 10-10 m from a...Ch. 19 - (a) A sphere has a surface uniformly charged with...Ch. 19 - How far from a 1.00 C point charge will the...Ch. 19 - What are the sign and magnitude of a point charge...Ch. 19 - If the potential due to a point charge is 5.00 102...Ch. 19 - In nuclear fission. a nucleus splits roughly in...Ch. 19 - A research Van de Graaff generator has a 2.00-rn-...Ch. 19 - An electrostatic paint sprayer has a...Ch. 19 - In one of the classic nuclear physics experiments...Ch. 19 - (a) What is the potential between two points...Ch. 19 - Unreasonable Results (a) What is the final speed...Ch. 19 - (a) Sketch the equipotential lines near a point...Ch. 19 - Prob. 37PECh. 19 - Prob. 38PECh. 19 - Prob. 39PECh. 19 - Prob. 40PECh. 19 - Prob. 41PECh. 19 - Prob. 42PECh. 19 - Prob. 43PECh. 19 - The naturally occurring charge on the ground on a...Ch. 19 - Prob. 45PECh. 19 - What charge is stored in a 180 F capacitor when...Ch. 19 - Find the charge stored when 5.50 V is applied to...Ch. 19 - What charge is stored in the capacitor in Example...Ch. 19 - Calculate the voltage applied to a 2.00 F...Ch. 19 - What voltage must be applied to an 8.00 nF...Ch. 19 - What capacitance is needed to store 3.00 C of...Ch. 19 - What is the capacitance of a large Van de Graaff...Ch. 19 - Find the capacitance of a parallel plate capacitor...Ch. 19 - (a) What is the capacitance of a parallel plate...Ch. 19 - Integrated Concepts A prankster applies 450 V to...Ch. 19 - Unreasonable Results (a) A certain parallel plate...Ch. 19 - Prob. 57PECh. 19 - Suppose you want a capacitor bank with a total...Ch. 19 - What total capacitances can you make by connecting...Ch. 19 - Prob. 60PECh. 19 - Prob. 61PECh. 19 - Unreasonable Results (a) An 8.00 F capacitor is...Ch. 19 - (a) What is the energy stored in the 10.0 F...Ch. 19 - In open heart surgery. a much smaller amount of...Ch. 19 - A 165 F capacitor is used in conjunction with a...Ch. 19 - Suppose you have a 9.00 V battery, a 2.00 F...Ch. 19 - A nervous physicist worries that the two metal...Ch. 19 - Show that for a given dielectric material the...Ch. 19 - Construct Your Own Problem Consider a heart...Ch. 19 - Unreasonable Results (a) On a particular day, it...Ch. 19 - Prob. 1TPCh. 19 - Prob. 2TPCh. 19 - Prob. 3TPCh. 19 - Prob. 4TPCh. 19 - Prob. 5TPCh. 19 - Prob. 6TPCh. 19 - Prob. 7TPCh. 19 - Prob. 8TPCh. 19 - Prob. 9TPCh. 19 - Prob. 10TPCh. 19 - Prob. 11TPCh. 19 - Prob. 12TPCh. 19 - Prob. 13TPCh. 19 - Prob. 14TPCh. 19 - Prob. 15TPCh. 19 - Prob. 16TPCh. 19 - Prob. 17TPCh. 19 - Prob. 18TPCh. 19 - Prob. 19TPCh. 19 - Prob. 20TPCh. 19 - Prob. 21TPCh. 19 - Prob. 22TPCh. 19 - Prob. 23TPCh. 19 - Prob. 24TPCh. 19 - Prob. 25TPCh. 19 - Prob. 26TPCh. 19 - Prob. 27TPCh. 19 - Prob. 28TPCh. 19 - Prob. 29TPCh. 19 - Prob. 30TPCh. 19 - Prob. 31TPCh. 19 - Prob. 32TPCh. 19 - Prob. 33TPCh. 19 - Prob. 34TPCh. 19 - Prob. 35TPCh. 19 - Prob. 36TPCh. 19 - Prob. 37TPCh. 19 - Prob. 38TPCh. 19 - Prob. 39TPCh. 19 - Prob. 40TPCh. 19 - Prob. 41TPCh. 19 - Prob. 42TPCh. 19 - Prob. 43TPCh. 19 - Prob. 44TP
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- An electron with a speed of 3.00 106 m/s moves into a uniform electric field of magnitude 1.00 103 N/C. The field lines are parallel to the electrons velocity and pointing in the same direction as the velocity. How far does the electron travel before it is brought to rest? (a) 2.56 cm (b) 5.12 cm (c) 11.2 cm (d) 3.34 m (e) 4.24 marrow_forward(a) What is the final speed of an electron accelerated from rest through a voltage of 25.0 MV by a negatively charged Van de Graff terminal? (b) What is unreasonable about this result? (c) Which assumptions are responsible?arrow_forward(a) Find the electric field at x = 5.00 cm in Figure 18.52 (a), given that q = 1.00 C. (b) at what position between 3.00 and 8.00 cm is the total electric field the same as that for ? 2q alone? (c) Can the electric field be zero anywhere between 0.00 and 8.00 cm? (d) At very large positive or negative values of x, the electric field approaches zero in both (a) and (b). In which does it most rapidly approach zero and why? (e) At what position to the light of 11.0 cm is the total electric field zero, other than at infinity? (Hint: A graphing calculator can yield considerable insight in this problem.)arrow_forward
- (a) What is the direction and magnitude of an electric field that supports the weight of a free election near the surface of Earth? (b) Discuss what the small value for this field implies regarding the relative strength of the gravitational and electrostatic forces.arrow_forwardShow that units of V/m and N/C for electric field strength are indeed equivalent.arrow_forwardA double charged ion is accelerated to an energy of 32.0 keV by the electric field between two parallel conducting plates separated by 2.00 cm. What is the electric field strength between the plates?arrow_forward
- The electric field strength between two parallel conducting plates separated by 4.00 cm is 7.50 104 V/m. (a) What is the potential difference between the plates? (b) The plate with the lowest potential is taken to be at zero volts. What is the potential 1.00 cm from that plate (and 3.00 cm from the other)?arrow_forward(a) Will the electric field strength between two parallel conducting plates exceed the breakdown strength for air ( 3.0 106 V/m) if the plates are separated by 2.00 mm and a potential difference of 5.0 103 V is applied? (b) How close together can the plates be with this applied voltage?arrow_forwardA simple and common technique for accelerating electrons is shown in Figure 18.55, where there is a uniform electric field between two plates. Electrons are released, usually from a hot filament, near the negative plate, and there is a small hole in the positive plate that allows the electrons to continue moving. (a) Calculate the acceleration of the electorn if the field strength is 2.50104 N/C. (b) Explain why the electron will not be pulled back to the positive plate once it moves through the hole.arrow_forward
- Consider the charge distribution shown in Figure P23.85. (a) Show that the magnitude of the electric field at the center of any face of the cube has a value of 2.18keq/s2. (b) What is the direction of the electric field at the center of the top face of the cube?arrow_forward(a) Find the magnitude and direction of the electric field at the position of the 2.00 C charge in Figure P13.13. (b) How would the electric field at that point be affected if the charge there were doubled? Would the magnitude of the electric force be affected?arrow_forwardA point charge of 4.00 nC is located at (0, 1.00) m. What is the x component of the electric field due to the point charge at (4.00, 2.00) m? (a) 1.15 N/C (b) 0.864 N/C (c) 1.44 N/C (d) 1.15 N/C (e) 0.864 N/Carrow_forward
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