Aptitude Test Problems in Physics Science for Everyone by S Krotov ( PDFDrive.com )

98 Aptitude Test Problems in Physics

Determine the amplitude U 0 of the volt-

age across the capacitor plates.

3.60. Under the action of a constant volt-

age U, a capacitor of capacitance C =10-11 F

Fig. 113

Fig. 114

included in the circuit shown in Fig. 113

is charged to q 1 = 10-i C. The inductance

of the coil; is L = 10 -5 H, and the resist-

ance of the resistor is R = 100 O.

Determine the amplitude q 0 of steady-

state oscillations of the charge on the

capacitor at resonance if the amplitude of

the external sinusoidal voltage is U 0 = U.

3.61. A bank of two series-connected capaci-

tors of capacitance C each is charged to a

voltage U and is connected to a coil of in-

ductance L so that an oscillatory circuit

(Fig. 114) is formed at the initial moment.

After a time t, a breakdown occurs in one of

the capacitors, and the resistance between

its plates becomes zero.

Determine the amplitude qo of charge os-

cillations on the undamaged capacitor.

3.62. How can the damage due to overheat-

ing the coil of a superconducting solenoid

be avoided?