Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Chapter 20, Problem 53PCE
Planet Capacitor It can be shown that the capacitance of a
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Physics (5th Edition)
Ch. 20.1 - The electric potential in system A changes...Ch. 20.2 - Particle A accelerates from rest through a...Ch. 20.3 - The following systems consist or a point charge at...Ch. 20.4 - Figure 20-14 shows a series of equipotential...Ch. 20.5 - Two parallel-plate capacitors are identical,...Ch. 20.6 - The following systems consist of a capacitor for...Ch. 20 - In one region of space the electric potential has...Ch. 20 - If the electric field is zero in some region of...Ch. 20 - Sketch the equipotential surface that goes through...Ch. 20 - How much work is required to move a charge from...
Ch. 20 - It is known that the electric potential is...Ch. 20 - Explain why equipotentials are always...Ch. 20 - Two charges are at locations that have the same...Ch. 20 - A capacitor is connected to a battery and fully...Ch. 20 - On which of the following quantities does the...Ch. 20 - We say that a capacitor stores charge, yet the...Ch. 20 - An electron is released from rest in a region of...Ch. 20 - A uniform electric field of magnitude 3.8 105 N/C...Ch. 20 - A uniform electric field of magnitude 6.8 105 N/C...Ch. 20 - BIO Electric Potential Across a Cell Membrane In a...Ch. 20 - An old-fashioned computer monitor accelerates...Ch. 20 - A parallel-plate capacitor has plates separated by...Ch. 20 - When an ion accelerates through a potential...Ch. 20 - The Electric Potential of the Earth The Earth has...Ch. 20 - A uniform electric field with a magnitude of 6860...Ch. 20 - Predict/Calculate A spark plug in a car has...Ch. 20 - A uniform electric field with a magnitude of 1200...Ch. 20 - A Charged Battery A typical 12-V car battery can...Ch. 20 - BIO Predict/Calculate The Sodium Pump Living cells...Ch. 20 - Predict/Calculate The electric potential of a...Ch. 20 - Points A and B have electric potentials of 332 V...Ch. 20 - Predict/Explain An electron is released from rest...Ch. 20 - Calculate the speed of (a) a proton and (b) an...Ch. 20 - Ion Thrusters NASAs Deep Space 1 and Dawn...Ch. 20 - Find the potential difference required to...Ch. 20 - Predict/Calculate A particle with a mass of 3.8 g...Ch. 20 - Conduction Electrons In the microscopic view of...Ch. 20 - A proton has an initial speed of 5.5 105 m/s. (a)...Ch. 20 - In Figure 20-29, q1 = +1.8 nC and q2 = 2.1 nC, and...Ch. 20 - In Figure 20-29, it is given that, q1 = +Q. (a)...Ch. 20 - CE The charge q1 in Figure 20-29 has the value +Q....Ch. 20 - CE It is given that the electric potential is zero...Ch. 20 - The electric potential 1.6 m from a point charge q...Ch. 20 - A point charge of 9.2 C is at the origin. What is...Ch. 20 - The Bohr Atom The hydrogen atom consists of one...Ch. 20 - How far must the point charges q1 = +6.22 C and q2...Ch. 20 - Four different arrangements of point charges are...Ch. 20 - Predict/Calculate Point charges +4.1 C and 2.2C...Ch. 20 - In Figure 20-31, the charge q = 4.11 10-9C. (a)...Ch. 20 - Predict/Calculate In Figure 20-31, the charge q =...Ch. 20 - A charge of 4.07C is held fixed at the origin. A...Ch. 20 - Predict/Calculate A charge of 20.2 C is held fixed...Ch. 20 - A charge of 2.505 C is located at (3.055 m, 4.501...Ch. 20 - Predict/Calculate Figure 20-32 shows three charges...Ch. 20 - How much work must be done to move the three...Ch. 20 - (a) Find the electric potential at point P in...Ch. 20 - A square of side a has a charge +Q at each corner....Ch. 20 - A square of side a has charges +Q and Q...Ch. 20 - Predict/Explain (a) is the electric potential at...Ch. 20 - Predict/Explain Imagine sketching a large number...Ch. 20 - Two point charges are on the x axis. Charge 1 is...Ch. 20 - Figure 20-35 shows a series of equipotentials in a...Ch. 20 - Predict/Calculate Consider a region in space where...Ch. 20 - A given system has the equipotential surfaces...Ch. 20 - A given system has the equipotential surfaces...Ch. 20 - A 0.75-F capacitor is connected to a 9.0-V...Ch. 20 - It is desired that 7.7 C of charge be stored on...Ch. 20 - To operate a given flash lamp requires a charge of...Ch. 20 - Planet Capacitor It can be shown that the...Ch. 20 - A parallel-plate capacitor is made from two...Ch. 20 - A parallel-plate capacitor is constructed with...Ch. 20 - Predict/Calculate A parallel-plate capacitor has...Ch. 20 - Predict/Calculate A 72-nF parallel-plate capacitor...Ch. 20 - Predict/Calculate Consider a parallel-plate...Ch. 20 - A parallel-plate capacitor has plates of area 3.75...Ch. 20 - Predict/Calculate A parallel-plate capacitor...Ch. 20 - Suppose that after walking across a carpeted floor...Ch. 20 - (a) What plate area is required for an air-filled,...Ch. 20 - Lightning As a crude model for lightning, consider...Ch. 20 - A parallel-plate capacitor is made from two...Ch. 20 - Calculate the work done by a 9.0-V battery as it...Ch. 20 - BIO Defibrillator An automatic external...Ch. 20 - BIOPredict/Calculate Cell Membranes The membrane...Ch. 20 - A capacitor with plate area 0.0440 m2 and plate...Ch. 20 - Find the electric energy density between the...Ch. 20 - What electric field strength would store 17.5 J of...Ch. 20 - An electronic flash unit for a camera contains a...Ch. 20 - A parallel-plate capacitor has plates with an area...Ch. 20 - CE Predict/Explain A proton is released from rest...Ch. 20 - CE The plates of a parallel-plate capacitor have...Ch. 20 - CE A parallel-plate capacitor is connected to a...Ch. 20 - CE The plates of a parallel-plate capacitor have...Ch. 20 - CE A parallel-plate capacitor is connected to a...Ch. 20 - Find the difference in electric potential, V = VB ...Ch. 20 - A 0.32-F capacitor is charged by a 1.5-V battery....Ch. 20 - A charge of 22.5 C is located at (4.40 m, 6.22 m),...Ch. 20 - The Bohr Model In the Bohr model of the hydrogen...Ch. 20 - Predict/Calculate A +1.2-C charge and a 1.2-C...Ch. 20 - How much work is required to bring three protons,...Ch. 20 - A point charge Q = +87.1 C is held fixed at the...Ch. 20 - Electron Escape Speed An electron is at rest just...Ch. 20 - Quark Model of the Neutron According to the quark...Ch. 20 - A parallel-plate capacitor is charged to an...Ch. 20 - Predict/Calculate The three charges shown in...Ch. 20 - (a) In Figure 20-36 we see that the electric...Ch. 20 - BIO Predict/Calculate Electric Catfish The...Ch. 20 - Regenerative Braking Many electric cars can...Ch. 20 - Predict/Calculate Computer Keyboards Many computer...Ch. 20 - Predict/Calculate A point charge of mass 0.081 kg...Ch. 20 - BIO Cell Membranes and Dielectrics Many cells in...Ch. 20 - BIO Mitochondrial Membrane Every cell in the body...Ch. 20 - Long, long ago, on a planet far, far away, a...Ch. 20 - Rutherfords Planetary Model of the Atom In 1911,...Ch. 20 - Predict/Calculate (a) One of the Q charges in...Ch. 20 - Figure 20-38 shows a charge q = +6.77 C with a...Ch. 20 - The electric potential a distance r from a point...Ch. 20 - When the potential difference between the plates...Ch. 20 - The electric potential a distance r from a point...Ch. 20 - BIO The Electric Eel Of the many unique and...Ch. 20 - As a rough approximation, consider an electric eel...Ch. 20 - In terms of the parallel-plate model of the...Ch. 20 - How much energy is stored by an electric eel when...Ch. 20 - Predict/Calculate Referring to Example 20-9...Ch. 20 - Referring to Example 20-9 Suppose we can change...Ch. 20 - Predict/Calculate Referring to Example 20-9...
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- An air-filled capacitor is made from two flat parallel plates 1.0 mm apart. The inside area of each plate is 8.0cm2. (a) What is the capacitance of this set of plates? (b) If the region between the plates is filled with a material whose dielectric constant is 6.0, what is the new capacitance?arrow_forwardA parallel-plate capacitor with vacuum between its horizontal plates has a capacitance of 25.0 F. A nonconducting liquid with dielectric constant 6.50 is poured into the space between the plates, filling up a fraction f of its volume. (a) Find the new capacitance as a function of f. (b) What should you expect the capacitance to be when f = 0? Does your expression from part (a) agree with your answer? (c) What capacitance should you expect when f = 1? Does the expression from part (a) agree with your answer?arrow_forwardConsider the combination of capacitors in Figure P16.42. (a) Find the equivalent single capacitance of the two capacitors in series and redraw the diagram (called diagram 1) with this equivalent capacitance. (b) In diagram 1, find the equivalent capacitance of the three capacitors in parallel and redraw the diagram as a single battery and single capacitor in a loop. (c) Compute the charge on the single equivalent capacitor. (d) Returning to diagram 1, compute the charge on each individual capacitor. Does the sum agree with the value found in part (c)? (e) What is the charge on the 24.0-F capacitor and on the 8.00-F capacitor? Compute the voltage drop across (f) the 24.0-F capacitor and (g) the 8.00-F capacitor. Figure P16.42arrow_forward
- A parallel-plate capacitor with plates of area LW and plate separation t has the region between its plates filled with wedges of two dielectric materials as shown in Figure P25.48. Assume t is much less than both L and W. (a) Determine its capacitance. (b) Should the capacitance be the same if the labels 1 and 2 are interchanged? Demonstrate that your expression does or does not have this property. (c) Show that if 1 and 2 approach equality to a common value , your result becomes the same as the capacitance of a capacitor containing a single dielectric: C = 0LW/t. Figure P25.48arrow_forwardThe separation between the 4.40-cm2 plates of an air-filled parallel-plate capacitor is 0.230 cm. a. What is the capacitance of this capacitor? If the capacitor is connected to a 9.00-V battery, find b. the charge stored by the capacitor and c. the magnitude of the electric field between its plates.arrow_forwardA spherical capacitor is made up of two concentric spherical conductors. The inner sphere has positive charge +Q, and the outer sphere has negative charge Q. The radius of the inner sphere is rin, and the radius of the outer sphere is rout. Show that its capacitance is C = 40[rinrout/(rout rin)].arrow_forward
- A parallel-plate capacitor has charge of magnitude 9.00F on each plate and capacitance 3.00F when there is air between the plates. The plates are separated by 2.00 mm. With the charge on the plates kept constant, a dielectric with =5 . is inserted between the plates, completely filling the volume between the plates, (a) What is the potential difference between the plates of the capacitor, before and after the dielectric has been inserted? (b) What is the electrical field at the point midway between the plates before and after the dielectric is inserted?arrow_forwardTrue or False? (a) From the definition of capacitance C = Q/V it follows that an uncharged capacitor has a capacitance of zero. (b) As described by the definition of capacitance, the potential difference across an uncharged capacitor is zero.arrow_forwardWhen a 360-nF air capacitor is connected to a power supply, the energy stored in the capacitor is 18.5J . While the capacitor is connected to the power supply, a slab of dielectric is insetted that completely fills die space between the plates. This increases the stored energy by 23.2J . (a) What is the potential difference between the capacitor plates? (b) What is die dielectric constant of the slab?arrow_forward
- Earth can be considered as a spherical capacitor with two plates, where the negative plate is the surface of Earth and the positive plate is the bottom of the ionosphere, which is located at an altitude of approximately 70 km. The potential difference between Earth’s surface and the ionosphere is about 350,000 V. (a) Calculate the capacitance of this system, (b) Find the total charge on this capacitor, (c) Find the energy stored in this system.arrow_forward(a) What is the capacitance of a parallel plate capacitor having plates of area 1.50 m2 that are separated by 0.0200 mm of neoprene rubber? (b) What charge does it hold when 9.00 V is applied to it?arrow_forwardA parallel-plate capacitor has plates of area A = 7.00 102 m2 separated by distance d = 2.00 104 m. (a) Calculate the capacitance if the space between the plates is filled with air. What is the capacitance if the space is filled half with air and half with a dielectric of constant = 3.70 as in (b) Figure P16.56a, and (c) Figure P16.56b? (Hint: In (b) and (c), one of the capacitors is a parallel combination and the other is a series combination.) Figure P16.56arrow_forward
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