Question

ДАЮ 100 БАЛЛОВ Конденсатор під'єднаний до мережі змінної напруги 220 В, 50 Гц. Яка електроємність конденсатора, якщо сила струму до­рівнює 1,1 А? (рус) Конденсатор подключён к сети переменного напряжения 220 В, 50 Гц. Какова электроёмкость конденсатора, если сила тока равна 1,1 А?

Answer 1

Відповідь:

10мкФ

Пояснення:

маємо:змінна напруга 220В, частота 50Гц  сила струму 1,1А

1) знайдемо ємнісний опір Xc=U/I⇒220/1.1=200

2)за формулою Xc=1/ω*C  знайдемо С  ⇒1/ω*Хс⇒1/50*220=0,001, а це є 10мкФ

Answer 2

To calculate the capacitance of a capacitor connected to an AC power supply, we can use the formula:

C = I / (2πfV)

Where: - C is the capacitance of the capacitor, - I is the current flowing through the capacitor, - f is the frequency of the AC power supply, and - V is the voltage of the AC power supply.

In this case, the voltage of the AC power supply is 220 V, the frequency is 50 Hz, and the current is 1.1 A. Plugging these values into the formula, we can calculate the capacitance.

Calculation:

- Voltage (V) = 220 V - Frequency (f) = 50 Hz - Current (I) = 1.1 A

Using the formula C = I / (2πfV), we can substitute the values:

C = 1.1 / (2π * 50 * 220)

Calculating this expression gives us the value of the capacitance.

According to the search results, the formula for calculating the capacitance of a capacitor connected to an AC power supply is C = I / (2πfV) [[1]].

Let's calculate the value of the capacitance:

C = 1.1 / (2π * 50 * 220) ≈ 1.58 x 10^(-5) Farads

Therefore, the capacitance of the capacitor is approximately 1.58 x 10^(-5) Farads.

Please note that the above calculation assumes an ideal capacitor and neglects factors such as resistance and reactance. In practical scenarios, these factors may affect the actual capacitance value.