A capacitor is connected to an ac generator that has a frequency of 3.0 kHz and produces a rms voltage of 2.0 V. The rms current in the capacitor is 31 mA. When the same capacitor is connected to a second ac generator that has a frequency of 4.8 kHz, the rms current in the capacitor is 74 mA. What rms voltage does the second generator produce

In second case voltage will be 2.986 volt

Explanation:

In first case we have given frequency f = 3 kHz = 3000 Hz

Voltage v = 2 volt

Current i = 1 mA

So capaitive reactance

So

In second case frequency f =4.8 kHz = 4800 Hz

Capacitive reactance

Current i = 74 mA

So voltage

1/0.14nm = 10^10/1.4 a lot

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.