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Bukhovtsev-et-al-Problems-in-Elementary-Physics

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108<br />

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PROBLEJ\\S<br />

Fig. 182<br />

Fig. 183<br />

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~<br />

Fig. 184<br />

526. Why are the anode and the anticathode of an X-ray<br />

tube connected by a wire (see Problem 525)? What will occur<br />

if the anticathode is isolated?<br />

527. Figure 181 shows a Geiger-Muller counter of elementary<br />

particles. A high voltage is. produced b<strong>et</strong>ween the hous<strong>in</strong>g of<br />

tube A and a th<strong>in</strong> wire ab that is only slightly sm<strong>al</strong>ler than<br />

the critic<strong>al</strong> voltage necessary to ignite the charge.<br />

When a fast charged particle enters the counter, the molecules<br />

of the gas are ionized and a discharge beg<strong>in</strong>s. The flow of<br />

current through the circuit is accompanied by a drop of voltage<br />

across the large resistance R. This voltage drop is recorded<br />

after amplification by correspond<strong>in</strong>g <strong>in</strong>struments.<br />

For the counter to answer its purpose, the discharge caused<br />

by the particle should be quickly ext<strong>in</strong>guished. What ext<strong>in</strong>guishes<br />

the discharge <strong>in</strong> the circuit <strong>in</strong> Fig. 181?<br />

528. A capacitor with a capacitance C = 8 ern and a distance<br />

b<strong>et</strong>ween the plates of<br />

d = 3 mm is connected to a high-voltage<br />

source through a resistance of R = l03Q (Fig. 182).<br />

The air <strong>in</strong> the space b<strong>et</strong>ween the plates of the capacitor is<br />

ionized by X-rays so that n = 10· ionic pairs form <strong>in</strong> one cubic<br />

centim<strong>et</strong>re per second. The charge of each ion is equ<strong>al</strong> to that<br />

of an electron.<br />

F<strong>in</strong>d the vol tage drop across the resistance R assum<strong>in</strong>g that<br />

<strong>al</strong>l the ions reach the plates before they recomb<strong>in</strong>e.<br />

529. What will occur to a burn<strong>in</strong>g electric arc if the negative<br />

carbon is <strong>in</strong>tensively cooled? What will. occur if the positive<br />

carbon is cooled?<br />

530. Why is an electric iron with a thermocontroller used<br />

only with <strong>al</strong>ternat<strong>in</strong>g current?<br />

531. What energy <strong>in</strong> ergs will an electron acquire after pass<strong>in</strong>g<br />

through a potenti<strong>al</strong> difference of 1 V <strong>in</strong> a vacuum? (In atomic<br />

physics this energy is taken as the unit "electron-volt")

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