The capacitance of the capacitor in the alternating current circuit is 50 μF. The dependence of the voltage

The capacitance of the capacitor in the alternating current circuit is 50 μF. The dependence of the voltage across the capacitor on time is: U = a * sin (bt), where a = 60 V and b = 500 s ^ -1. Find the amplitude of the current fluctuations in the circuit.

If the voltage fluctuates according to the law U = a * sin (b * t), then the vibration frequency can be found as b = 500 c ^ (- 1).

Rc = 1 / w * C, where w is the vibration frequency equal to 500 c ^ (- 1).

Knowing the value of the vibration frequency, we can determine Rc:

Rc = 1/500 * 50 * 10 ^ (- 6) = 40 ohms.

Next, we find the amplitude of the stresses:

Um = a = 60 B.
Now we use the formula U = I * R, expressing I from it:

I = U / R.

Let’s substitute the existing values into this formula. We get:
Im = Um / Rc = 60/40 = 1.5 A.

Answer: the amplitude of the current is 1.5 A.