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Chapter 16: Q36P (page 663)
A capacitor with a gap of 2 mm has a potential difference from one plate to the other of 30 V. What is the magnitude of the electric field between the plates?
The electric field between the two plates is .
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Question: An electron passes through a region in which there is an electric field, and whiles it is in the region its kinetic energy decreases by . Initially the kinetic energy of the electron was . What is the final speed of the electron? (You can use the approximate (nonrelativistic) equation here.)
If the kinetic energy of an electron is , what is the speed of the electron? You can use the approximate (non relativistic) equation here.
An electron is initially at rest. It is moved from a location from a proton to a location from the proton. What is the change in electric potential energy of the system of proton and electron?
An isolated large plate capacitor (not connected to anything) originally has a potential difference of 1000 V with an air gap of 2 mm. Then a plastic slab 1 mm thick, with dielectric constant 5, is inserted in the middle of the air gap as shown in figure 16.96. Calculate the following potential differences and explain your work.
long thin metal wire with radius and lengthis surrounded by a concentric long narrow metal tube of radius , where, as shown in Figure 16.86. Insulating spokes hold the wire in the center of the tube and prevent electrical contact between the wire and the tube. A variable power supply is connected to the device as shown. There is a chargeon the inner wire and a chargeon the outer tube. As we will see when we study Gauss鈥檚 law in a later chapter, the electric field inside the tube is contributed solely by the wire, and the field outside the wire is the same as though the wire were infinitely thin; the outer tube does not contribute as long as we are not near the ends of the tube. (a) In terms of the charge, length, inner radius, and outer radius , what is the potential difference between the inner wire and the outer tube? Explain, and include checks on your answer. (b) The power-supply voltage is slowly increased until you see a glow in the air very near the inner wire. Calculate this power-supply voltage (give a numerical value), and explain your calculation. The length , the inner radius, and the outer radius. This device is called a 鈥淕eiger鈥揗眉ller tube鈥� and was one of the first electronic particle detectors. The voltage is set just below the threshold for making the air glow near the wire. A charged particle that passes near the center wire can trigger breakdown in the air, leading to a large current that can be easily measured.
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