A Geiger counter is used to detect charged particles emitted by radioactive nuclei. It consists of a thin, positively charged central wire of radius R a , surrounded by a concentric conducting cylinder of radius R b with an equal negative charge (Fig. 23–40). The charge per unit length on the inner wire is λ (units C/m). The interior space between wire and cylinder is filled with low-pressure inert gas. Charged particles ionize some of these gas atoms; the resulting free electrons are attracted toward the positive central wire. If the radial electric field is strong enough, the freed electrons gain enough energy to ionize other atoms, causing an “avalanche” of electrons to strike the central wire, generating an electric “signal.” Find the expression for the electric field between the wire and the cylinder, and show that the potential difference between R a , and R b V a − V b = ( λ 2 π ϵ 0 ) ln ( R b R a ) . FIGURE 23-40 Problem 83.
A Geiger counter is used to detect charged particles emitted by radioactive nuclei. It consists of a thin, positively charged central wire of radius R a , surrounded by a concentric conducting cylinder of radius R b with an equal negative charge (Fig. 23–40). The charge per unit length on the inner wire is λ (units C/m). The interior space between wire and cylinder is filled with low-pressure inert gas. Charged particles ionize some of these gas atoms; the resulting free electrons are attracted toward the positive central wire. If the radial electric field is strong enough, the freed electrons gain enough energy to ionize other atoms, causing an “avalanche” of electrons to strike the central wire, generating an electric “signal.” Find the expression for the electric field between the wire and the cylinder, and show that the potential difference between R a , and R b V a − V b = ( λ 2 π ϵ 0 ) ln ( R b R a ) . FIGURE 23-40 Problem 83.
A Geiger counter is used to detect charged particles emitted by radioactive nuclei. It consists of a thin, positively charged central wire of radius Ra, surrounded by a concentric conducting cylinder of radius Rb with an equal negative charge (Fig. 23–40). The charge per unit length on the inner wire is λ (units C/m). The interior space between wire and cylinder is filled with low-pressure inert gas. Charged particles ionize some of these gas atoms; the resulting free electrons are attracted toward the positive central wire. If the radial electric field is strong enough, the freed electrons gain enough energy to ionize other atoms, causing an “avalanche” of electrons to strike the central wire, generating an electric “signal.” Find the expression for the electric field between the wire and the cylinder, and show that the potential difference between Ra, and Rb
A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A
and B are 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to be
moved from A to B, determine the following:
The work done in moving the test charge?
How many excess electrons are there in -10 C of charge?
Two parallel conducting plates are seperated by 1.0 mm and carry equal but opposite charge densities. If the difference between them is 2.0 V, what is the magnitude of the surface charge density on each plate?
Chapter 23 Solutions
Physics For Scientists & Engineers With Modern Physics, Vol. 3 (chs 36-44) (4th Edition)
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
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