4. Your friend gets really excited by the idea of making a lightning rod or maybe just a sparking toy by connecting two spheres with a thin wire, as shown in the below figure, and making R, so small that the electric field is greater than the dielectric strength of air, just from the usual 150 V/m (assume this is the electric field at the surface of the larger conducting sphere) electric field near the surface of the Earth. If R, is 10.0 cm, find R,, surface charge density on each sphere, and the electric potential at the surface of each sphere. Does this seem practical? /Ri R2

4. Your friend gets really excited by the idea of making a lightning rod or maybe just a sparking toy by connecting two spheres with a thin wire, as shown in the below figure, and making R, so small that the electric field is greater than the dielectric strength of air, just from the usual 150 V/m (assume this is the electric field at the surface of the larger conducting sphere) electric field near the surface of the Earth. If R, is 10.0 cm, find R,, surface charge density on each sphere, and the electric potential at the surface of each sphere. Does this seem practical? /Ri R2

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 32P

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Similar questions

Your friend gets really excited by the idea of making a lightning rod or maybe just a sparking toy by connecting two spheres as shown in Figure 7.39, and making R2so small that the electric field is greater than the dielectric strength of air, just from the usual 150 V/m electric field near the surface of the Earth. If R1is 10 cm. how small does R2to be, and does this seem practical? (Hint: recall the calculation for electric field at the surface of a conductor from Gauss's Law.)
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)?
(a) How strong is the attractive force between a glass rod with a 0.700 C charge and a silk cloth with a 0.600 C charge, which are 12.0 cm apart, using the approximation that they act like point charges? (b) Discuss how the answer to this problem might be affected if the charges are distributed over some area and do not act like point charges.
(a) What is the direction and magnitude of an electric field that supports the weight of a free electron 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.
(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.
A common demonstration involves charging a rubber balloon, which is an insulator, by rubbing it on your hair and then touching the balloon to a ceiling or wall, which is also an insulator. Because of the electrical attraction between the charged balloon and the neutral wall, the balloon slicks to the wall. Imagine now that we have two infinitely large, Hat sheets of insulating material. One is charged, and the other is neutral, lf these sheets are brought into contact, does an attractive force exist between them as there was for the balloon and the wall?
There are very large numbers of charged particles in most objects. Why, then, don't most objects exhibit static electricity?
A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
Lightning can be studied with a Van de Graaff generator, which consists of a spherical dome on which charge is continuously deposited by a moving belt. Charge can be added until the electric field at the surface of the dome becomes equal to the dielectric strength of air. Any more charge leaks off in sparks as shown in Figure P25.52. Assume the dome has a diameter of 30.0 cm and is surrounded by dry air with a "breakdown" electric field of 3.00 106 V/m. (a) What is the maximum potential of the dome? (b) What is the maximum charge on the dome?
Earth has a net charge that produces an electric field of approximately 150 N/C downward at its surface, (a) What is the magnitude and sign of the excess charge, noting the electric field of a conducting sphere is equivalent to a point charge at its center? (b) What acceleration will the field produce on a free electron near Earth’s surface? (c) What mass object with a single extra electron will have its weight supported by this field?
A 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.
To form a hydrogen atom, a proton is fixed at a point and an electron is brought from far away to a distance of 0.5291010 in, the average distance between proton and electron in a hydrogen atom. How much work is done?