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

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340 ANSWERS AND SOLUTIONS<br />

/16'4<br />

D 2 7 10<br />

tfyolts<br />

Fig. 453<br />

The negative v<strong>al</strong>ue of Ua is discarded because it does not correspond to<br />

the sense of the problem. The sought currents are:<br />

i1<br />

1<br />

(Bt+B2)R(Bui?+(A.B2-A2BdRUa-B1Ua]=22.2 rnA<br />

i2=(B. +I B2)<br />

R [BtB+(AtB.-A.Bt) RUa-B2Ua!=37.8 rnA<br />

541 With the potenti<strong>al</strong> of the grid cC2=- 6 V, the current flow<strong>in</strong>g<br />

through the v<strong>al</strong>ve is 1 2 = ~ and with 111=-3 V it is 1.= ~l •<br />

Therefore, an <strong>in</strong>crease <strong>in</strong> the potenti<strong>al</strong> of the grid by cfJl -cfJ2=3 V raises<br />

the anode current of the v<strong>al</strong>ve by<br />

1<br />

11-J"=R (VI -U 2)= 3.5 rnA<br />

S<strong>in</strong>ce the grid characteristic of the v<strong>al</strong>ve <strong>in</strong> the region be<strong>in</strong>g considered<br />

is assumed to be l<strong>in</strong>ear, the addition<strong>al</strong> <strong>in</strong>crease <strong>in</strong> the potenti<strong>al</strong> of the grid<br />

relative to the cathode by 3 V (from-3 V to zero· with the short-circuited<br />

gri d and cathode) will<br />

<strong>in</strong>crease the anode current by another 3.5 rnA.<br />

The voltage drop across the resistance R will now <strong>in</strong>crease addition<strong>al</strong>ly<br />

by U t-Ut.=35 V, and become equ<strong>al</strong> to Uo=U. +(U 1-U2 )= 130 V. while<br />

the potenti<strong>al</strong> difference b<strong>et</strong>ween the anode and the cathode of the v<strong>al</strong>ve will<br />

be equ<strong>al</strong> to tB-Uo=120 V. .<br />

542. The first diode beg<strong>in</strong>s to conduct current only when U a > 0, I, e.,<br />

when V > cfJlt the second at V > li". and the third at V >

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