Problem 1CQ: In one region of space the electric potential has a positive constant value. In another region of... Problem 2CQ: If the electric field is zero in some region of space is the electric potential zero there as well?... Problem 3CQ: Sketch the equipotential surface that goes through point 1 in Figure 20-26. Repeat for point 2 and... Problem 4CQ: How much work is required to move a charge from one location on an equipotential to another point on... Problem 5CQ: It is known that the electric potential is constant on a given two-dimensional surface. What can be... Problem 6CQ: Explain why equipotentials are always perpendicular to the electric field. Problem 7CQ: Two charges are at locations that have the same value of the electric potential. Is the electric... Problem 8CQ: A capacitor is connected to a battery and fully charged. What becomes of the charge on the capacitor... Problem 9CQ: On which of the following quantities does the capacitance of a capacitor depend: (a) the charge on... Problem 10CQ: We say that a capacitor stores charge, yet the total charge in a capacitor is zero; that is, Q + (Q)... Problem 1PCE: An electron is released from rest in a region of space with a nonzero electric field. As the... Problem 2PCE: A uniform electric field of magnitude 3.8 105 N/C points in the positive x direction. Find the... Problem 3PCE: A uniform electric field of magnitude 6.8 105 N/C points in the positive x direction. Find the... Problem 4PCE: BIO Electric Potential Across a Cell Membrane In a typical living cell, the electric potential... Problem 5PCE: An old-fashioned computer monitor accelerates electrons and directs them to the screen in order to... Problem 6PCE: A parallel-plate capacitor has plates separated by 0.95 mm. If the electric field between the plates... Problem 7PCE: When an ion accelerates through a potential difference of 1880 V, its electric potential energy... Problem 8PCE: The Electric Potential of the Earth The Earth has a vertical electric field with a magnitude of... Problem 9PCE: A uniform electric field with a magnitude of 6860 N/C points in the positive x direction. Find the... Problem 10PCE: Predict/Calculate A spark plug in a car has electrodes separated by a gap of 0.025 in. To create a... Problem 11PCE: A uniform electric field with a magnitude of 1200 N/C points in the negative x direction, as shown... Problem 12PCE: A Charged Battery A typical 12-V car battery can deliver 2.0 105C of charge. If the energy supplied... Problem 13PCE: BIO Predict/Calculate The Sodium Pump Living cells actively pump positive sodium ions (Na+) from... Problem 14PCE: Predict/Calculate The electric potential of a system as a function of position along the x axis is... Problem 15PCE: Points A and B have electric potentials of 332 V and 149 V, respectively. When an electron released... Problem 16PCE: Predict/Explain An electron is released from rest in a region of space with a nonzero electric... Problem 17PCE: Calculate the speed of (a) a proton and (b) an electron after each particle accelerates from rest... Problem 18PCE: Ion Thrusters NASAs Deep Space 1 and Dawn spacecraft employed ion thrusters in which xenon ions with... Problem 19PCE: Find the potential difference required to accelerate protons from rest to 10% of the speed of light.... Problem 20PCE: Predict/Calculate A particle with a mass of 3.8 g and a charge of +0.045C is released from rest at... Problem 21PCE: Conduction Electrons In the microscopic view of electrical conduction in a copper wire, electrons... Problem 22PCE: A proton has an initial speed of 5.5 105 m/s. (a) What potential difference is required to bring... Problem 23PCE: In Figure 20-29, q1 = +1.8 nC and q2 = 2.1 nC, and the side length of the square is 0.10 m. (a) What... Problem 24PCE: In Figure 20-29, it is given that, q1 = +Q. (a) What value must q2 have if the electric potential at... Problem 25PCE: CE The charge q1 in Figure 20-29 has the value +Q. (a) What value must q2 have if the electric... Problem 26PCE: CE It is given that the electric potential is zero at the center of the square in Figure 20-29. (a)... Problem 27PCE: The electric potential 1.6 m from a point charge q is 3.8 104V. What is the value of q? Problem 28PCE: A point charge of 9.2 C is at the origin. What is the electric potential at (a) (3.0 m,0); (b)(3.0... Problem 29PCE: The Bohr Atom The hydrogen atom consists of one electron and one proton. In the Bohr model of the... Problem 30PCE: How far must the point charges q1 = +6.22 C and q2 = 22.1 C be separated for the electric potential... Problem 31PCE: Four different arrangements of point charges are shown in Figure 20-30. In each case the charges are... Problem 32PCE: Predict/Calculate Point charges +4.1 C and 2.2C are placed on the x axis at (11 m,0) and (11 m,0),... Problem 33PCE: In Figure 20-31, the charge q = 4.11 10-9C. (a) Find the electric potential at x = 0.500 m. (b)... Problem 34PCE: Predict/Calculate In Figure 20-31, the charge q = 3.67 109C. (a) Find the value of x between 1.00 m... Problem 35PCE: A charge of 4.07C is held fixed at the origin. A second charge of 3.45 C is released from rest at... Problem 36PCE: Predict/Calculate A charge of 20.2 C is held fixed at the origin. (a) If a 5.25C charge with a mass... Problem 37PCE: A charge of 2.505 C is located at (3.055 m, 4.501 m), and a charge of 1.875 C is located at (2.533... Problem 38PCE: Predict/Calculate Figure 20-32 shows three charges at the corners of a rectangle. (a) How much work... Problem 39PCE: How much work must be done to move the three charges in Figure 20-32 infinitely far from one... Problem 40PCE: (a) Find the electric potential at point P in Figure 20-33. (b) Suppose the three charges shown in... Problem 41PCE: A square of side a has a charge +Q at each corner. What is the electric potential energy of this... Problem 42PCE: A square of side a has charges +Q and Q alternating from one corner to the next, as shown in Figure... Problem 43PCE: Predict/Explain (a) is the electric potential at point 1 in Figure 20-26 greater than, less than, or... Problem 44PCE: Predict/Explain Imagine sketching a large number of equipotential surfaces in Figure 20-26, with a... Problem 45PCE: Two point charges are on the x axis. Charge 1 is +q and is located at x = 1.0 m; charge 2 is 2q and... Problem 46PCE: Figure 20-35 shows a series of equipotentials in a particular region of space, and five different... Problem 47PCE: Predict/Calculate Consider a region in space where a uniform electric field E = 6500 N/C points in... Problem 48PCE: A given system has the equipotential surfaces shown in Figure 20-36. (a) What are the magnitude and... Problem 49PCE: A given system has the equipotential surfaces shown in Figure 20-36. (a) What is the electric... Problem 50PCE: A 0.75-F capacitor is connected to a 9.0-V battery. How much charge is on each plate of the... Problem 51PCE: It is desired that 7.7 C of charge be stored on each plate of a 5 2-F capacitor. What potential... Problem 52PCE: To operate a given flash lamp requires a charge of 38C. What capacitance is needed to store this... Problem 53PCE: Planet Capacitor It can be shown that the capacitance of a conducting sphere of radius R is R/k... Problem 54PCE: A parallel-plate capacitor is made from two aluminum-foil sheets, each 3.8 cm wide and 6.1 m long.... Problem 55PCE: A parallel-plate capacitor is constructed with circular plates of radius 0.051 m. The plates are... Problem 56PCE: Predict/Calculate A parallel-plate capacitor has plates with an area of 0.012 m2 and a separation of... Problem 57PCE: Predict/Calculate A 72-nF parallel-plate capacitor has plates that sandwich a dielectric layer that... Problem 58PCE: Predict/Calculate Consider a parallel-plate capacitor constructed from two circular metal plates of... Problem 59PCE: A parallel-plate capacitor has plates of area 3.75 10-4 m2. What plate separation is required if... Problem 60PCE: Predict/Calculate A parallel-plate capacitor filled with air has plates of area 0.0066 m2 and a... Problem 61PCE: Suppose that after walking across a carpeted floor you reach for a doorknob and just before you... Problem 62PCE: (a) What plate area is required for an air-filled, parallel-plate capacitor with a plate separation... Problem 63PCE: Lightning As a crude model for lightning, consider the ground to be one plate of a parallel-plate... Problem 64PCE: A parallel-plate capacitor is made from two aluminum-foil sheets, each 3.00 cm wide and 10.0 m long.... Problem 65PCE: Calculate the work done by a 9.0-V battery as it charges a 7.2-F capacitor in the flash unit of a... Problem 66PCE: BIO Defibrillator An automatic external defibrillator (AED) delivers 135 J of energy at a voltage of... Problem 67PCE: BIOPredict/Calculate Cell Membranes The membrane of a living cell can be approximated by a... Problem 68PCE: A capacitor with plate area 0.0440 m2 and plate separation 85.0 m is to be charged to 12.0 V and... Problem 69PCE: Find the electric energy density between the plates of a 225-F parallel-plate capacitor. The... Problem 70PCE: What electric field strength would store 17.5 J of energy in every 1.00 mm3 of space? Problem 71PCE: An electronic flash unit for a camera contains a capacitor with a capacitance of 750 F. When the... Problem 72PCE: A parallel-plate capacitor has plates with an area of 405 cm2 and an air-filled gap between the... Problem 73GP: CE Predict/Explain A proton is released from rest in a region of space with a nonzero electric... Problem 74GP: CE The plates of a parallel-plate capacitor have constant charges of +Q and Q. Do the following... Problem 75GP: CE A parallel-plate capacitor is connected to a battery that maintains a constant potential... Problem 76GP: CE The plates of a parallel-plate capacitor have constant charges of +Q and Q Do the following... Problem 77GP: CE A parallel-plate capacitor is connected to a battery that maintains a constant potential... Problem 78GP: Find the difference in electric potential, V = VB VA, between the points A and B for the following... Problem 79GP: A 0.32-F capacitor is charged by a 1.5-V battery. After being charged, the capacitor is connected to... Problem 80GP: A charge of 22.5 C is located at (4.40 m, 6.22 m), and a charge of 14.2 C is located at (4.50 m,... Problem 81GP: The Bohr Model In the Bohr model of the hydrogen atom (see Problem 29) what is the smallest amount... Problem 82GP: Predict/Calculate A +1.2-C charge and a 1.2-C charge are placed at (0.50 m, 0) and (-0.50 m, 0),... Problem 83GP: How much work is required to bring three protons, initially infinitely far apart, to a configuration... Problem 84GP: A point charge Q = +87.1 C is held fixed at the origin. A second point charge, with mass m = 0.0576... Problem 85GP: Electron Escape Speed An electron is at rest just above the surface of a sphere with a radius of 2.7... Problem 86GP: Quark Model of the Neutron According to the quark model of fundamental particles, neutronsthe... Problem 87GP: A parallel-plate capacitor is charged to an electric potential of 305 V by moving 3.75 1016... Problem 88GP: Predict/Calculate The three charges shown in Figure 20-33 are held in place as a fourth charge, q,... Problem 89GP: (a) In Figure 20-36 we see that the electric potential increases by 10.0 V as one moves 4.00 cm in... Problem 90GP: BIO Predict/Calculate Electric Catfish The electric catfish (Malapterurus electricus) is an... Problem 91GP: Regenerative Braking Many electric cars can capture the kinetic energy of the car and store it in a... Problem 92GP: Predict/Calculate Computer Keyboards Many computer keyboards operate on the principle of... Problem 93GP: Predict/Calculate A point charge of mass 0.081 kg and charge +6.77 C is suspended by a thread... Problem 94GP: BIO Cell Membranes and Dielectrics Many cells in the body have a cell membrane whose inner and outer... Problem 95GP: BIO Mitochondrial Membrane Every cell in the body has organelles called mitochondria that can... Problem 96GP: Long, long ago, on a planet far, far away, a physics experiment was carried out. First, a 0.250-kg... Problem 97GP: Rutherfords Planetary Model of the Atom In 1911, Ernest Rutherford developed a planetary model of... Problem 98GP: Predict/Calculate (a) One of the Q charges in Figure 20-34 is given an outward kick that sends it... Problem 99GP: Figure 20-38 shows a charge q = +6.77 C with a mass m = 0.081 kg suspended by a thread of length L =... Problem 100GP: The electric potential a distance r from a point charge q is 2.70 104V. One meter farther away from... Problem 101GP: When the potential difference between the plates of a capacitor is increased by 3.25 V, the... Problem 102GP: The electric potential a distance r from a point charge q is 155 V, and the magnitude of the... Problem 103PP: BIO The Electric Eel Of the many unique and unusual animals that inhabit the rainforests of South... Problem 104PP: As a rough approximation, consider an electric eel to be a parallel-plate capacitor with plates of... Problem 105PP: In terms of the parallel-plate model of the previous problem, how much charge does an electric eel... Problem 106PP: How much energy is stored by an electric eel when it is charged up to 650 V? Use the same... Problem 107PP: Predict/Calculate Referring to Example 20-9 Suppose the charge 2q at x = 1.00 m is replaced with a... Problem 108PP: Referring to Example 20-9 Suppose we can change the location of the charge 2q on the x axis. The... Problem 109PP: Predict/Calculate Referring to Example 20-9 Suppose the charge +q at the origin is replaced with a... format_list_bulleted
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