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Chapter 16: Q9CP (page 648)
In a circuit there is a copper wire 40 cm long with a potential difference from one end to the other end of . What is the magnitude of electric field inside the wire?
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Locations A, B and C are in a region of uniform electric field, as shown in the diagram in Figure 16.65. Location A is at . Location B is at . In the region the electric field has the value . For a path starting at B and ending at A, calculate: (a) the displacement vector , (b) the change in electric potential, (c) the potential energy change for the system when a proton moves from B to A, (d) the potential energy change for the system when an electron moves from B to A.
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’s 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 “Geiger–Müller tube” 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.
Question: In Chapter 6 we saw that the electric potential energy of a system of two particles is given by the equation .
(a) What is the electric potential energy of two protons separated by a distance of ? (b) What is the electric potential energy of a proton and an electron separated by the same distance?
A dipole is centered at the origin, with its axis along the y axis, so that at locations on the y axis, the electric field due to the dipole is given by
The charges making up the dipole are and , and the dipole separation is (Figure 16.82). What is the potential difference along a path starting at location and ending at location ?
A rod uniformly charged with charge \( - q\) is bent into a semicircular arc of radius\(b\), as shown in Figure 16.97. What is the potential relative to infinity at location\(A\), at the center of the arc?
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