Question

Чему равно комплексное действующее значение тока i, соот­ветствующее синусоидальному току i = 100sin(wt-π/4)A?

Answer 1

Ответ:100*0,5*√2=100*0,707=70,7 А. Всё просто.

Объяснение:

Answer 2

Complex Current Value Calculation

The complex current value, denoted as I, corresponding to the sinusoidal current i = 100sin(wt-π/4)A can be calculated using the formula for converting a sinusoidal function to its complex form. The complex representation of a sinusoidal function is given by:

I = I_me^jθ

Where: - I_m is the magnitude of the current. - θ is the phase angle. - j is the imaginary unit.

To convert the given sinusoidal current to its complex form, we can use the following steps:

1. Identify the magnitude of the current, which is the coefficient of the sine function, in this case, 100. 2. Determine the phase angle, which is the phase shift in the sine function, in this case, -π/4.

Using these values, we can express the given sinusoidal current in its complex form.

Calculation

The complex representation of the given sinusoidal current i = 100sin(wt-π/4)A is:

I = 100e^-jπ/4

This complex representation provides a way to analyze the sinusoidal current in terms of magnitude and phase angle.

I hope this helps! If you have further questions, feel free to ask.