Question

Ребята, срочно!!! Очень нужно. Уравнение изменения со временем тока в колебательной контуре имеет вид i= -0,02sin 400 pi t. Индуктивность катушки 1 гн, написать уравнение зависимости напряжения от времени. Найти напряжение на конденсаторе и силу тока в цепи в момент времени T/8, T/4, T/2. Постройте график зависимости силы тока и напряжения от времени в пределах одного периода!!

Answer 1

 Уравнение изменения со временем тока в колебательном контуре имеет вид I = -0.02*sin400πt А. Индуктивность контура L = 1Гн

Answer 2

Equation of Current in an Oscillating Circuit

The equation of current in a oscillating circuit is given as i = -0.02sin(400πt), where i represents the current, t represents time, and π is a mathematical constant approximately equal to 3.14159.

Equation of Voltage in an Inductor

To find the equation of voltage in the inductor, we can use the relationship between voltage and current in an inductor. The voltage across an inductor is given by the equation V = L(di/dt), where V represents the voltage, L represents the inductance, and di/dt represents the rate of change of current with respect to time.

In this case, the inductance of the coil is given as 1 H (Henry). Therefore, the equation of voltage in the inductor is V = (1)(di/dt).

Voltage and Current at Specific Time Intervals

To find the voltage on the capacitor and the current in the circuit at specific time intervals, we can substitute the given equation of current into the equation of voltage in the inductor.

At time T/8: - The current can be calculated by substituting t = T/8 into the equation i = -0.02sin(400πt). - The voltage on the capacitor can be calculated by substituting the current value into the equation V = (1)(di/dt).

At time T/4: - The current can be calculated by substituting t = T/4 into the equation i = -0.02sin(400πt). - The voltage on the capacitor can be calculated by substituting the current value into the equation V = (1)(di/dt).

At time T/2: - The current can be calculated by substituting t = T/2 into the equation i = -0.02sin(400πt). - The voltage on the capacitor can be calculated by substituting the current value into the equation V = (1)(di/dt).

Graph of Current and Voltage over One Period

To plot the graph of current and voltage over one period, we can use the given equation of current and the equation of voltage in the inductor. By varying the value of t from 0 to T, we can calculate the corresponding values of current and voltage at different time intervals and plot them on a graph.

Please note that I am an AI language model and cannot directly plot graphs. However, you can use software like MATLAB, Python with libraries like Matplotlib, or any other graphing tool to plot the graph based on the equations provided.

I hope this helps! Let me know if you have any further questions.