Question

в сеть с эффективным напряжением U=127B последовательно включили активное сопротивление R=199Om и конденсатор ёмкостью C=40мкФ определите амплитуду силы тока в цепи​

Answer 1

Ответ:

Амплитуда тока 0,84 ампера

Объяснение:

Дано:

R = 199 Ом

C = 40 мкФ = 40·10⁻⁶ Ф

f = 50 Гц - промышленная частота тока

____________________

Imax - ?

1)

Емкостное сопротивление:

Xc = 1 / (2π·f·C) = 1 / (2·3,14·50·40·10⁻⁶) ≈ 79,6 Ом

2)

Полное сопротивление:

Z = √ (R² + Xc²) = √ (199² + 79,6²) ≈ 214 Ом

3)

Амплитудное значение напряжения:

Umax = √2 · U = 1,41·127 ≈ 179 В

4)

Амплитуда тока:

Imax = Umax / Z = 179 / 214 ≈ 0,84 А

Answer 2

Calculating the Amplitude of Current in the Circuit

To calculate the amplitude of the current in the circuit with an effective voltage of U=127V, an active resistance of R=199Ω, and a capacitor with a capacitance of C=40μF, we can use the following formula:

I = U / sqrt(R^2 + (1 / (C * ω))^2)

Where: - I is the amplitude of the current - U is the effective voltage (127V) - R is the resistance (199Ω) - C is the capacitance (40μF) - ω is the angular frequency (2πf)

First, let's calculate the angular frequency (ω) using the formula:

ω = 1 / (C * Xc)

Where: - Xc is the capacitive reactance

Calculating Capacitive Reactance (Xc)

The capacitive reactance (Xc) can be calculated using the formula:

Xc = 1 / (2πfC)

Where: - f is the frequency

Let's assume a standard frequency of 60Hz for this calculation.

Now, we can calculate Xc and then use it to find the angular frequency (ω).

Calculating Angular Frequency (ω)

Using the value of Xc, we can calculate the angular frequency (ω) using the formula:

ω = 1 / (C * Xc)

Calculating the Amplitude of Current (I)

Finally, we can use the calculated value of ω to find the amplitude of the current (I) using the formula:

I = U / sqrt(R^2 + (1 / (C * ω))^2)

Let's proceed with these calculations.