274 Aptitude Test Problems in Physics
Therefore, the required ratio is.
Qi2 i/2+ 3)2,_ + 6
Q34
3.41. Since the anode current is I, the number of
charge carriers (electrons) n arriving at the anode
per unit time can be found from the formula
el
I
I
where e is the charge of a carrier. The momentum
Ap transferred by the charge carriers to the anode
per unit time is
Lp = nmv,
where m is the mass of a carrier, and v. is its veloc-
ity. This momentum is equal to the mean force
exerted on the anode by the charge carriers pre-
cipitating on it. Since mv 2 /2 = I e f U, where
U is the potential difference between the cathode
and the anode, the mean pressure pm exerted by
electrons on the anode can be determined from the
formula
nmv I m 2 lel U
Pm S S lel V^ rn
= I 2mU
S V (^) lel •
3.42. It can be seen that during the time interval
from 0 to to, the voltage across the capacitor is
zero, the charge on it is also zero, there is no cur-
rent through it, and hence UcD is zero during this
time interval (Fig. 221). During the time interval
from to to 2to, the voltage across the capacitor,
and hence the charge on its plates, grows linearly,
and hence a direct current passes through the cir-
cuit. This means that the voltage UcD is constant.
During the time interval from 2t 0 to 3t 0 , the voltage