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) Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 13.0 g. Silver has 47 electrons per atom, and its molar mass is 107.87 g/mol.
(b) Imagine adding electrons to the pin until the negative charge has the very large value 1.00 mC. How many electrons are added for every 109 electrons already present?
. 1. Calculate the amount of work done to dissociate
a system of three charges 1 µC, 1 µC and - 4 µC
μC
placed on the vertices of an equilateral triangle of
side 10 cm.
7) A wire with 4 meters length and constant charge density lambda = 4nC/m is placed diagonally on x-y
plane. One end is at the origin and it makes 45 degrees with the x-axis. Find the integral expression for
Ex at x=7 y=10
Chapter 23 Solutions
Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
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