Question

Через 1/6 периода мгновенное значение ЭДС равно 50 В. Каково значение ЭДС при фазе π/4?

Answer 1

Раз ток синусоидальный, то ЭДС описывается формулой: 
U(t) = Um*sin(wt + fi) 
Для фазы 30 градусов: 
U = Um*sin(30) = 120 
Отсюда находите амплитуду Um. 
Действующее значение - это интеграл от U(t) по периоду. Так что действующее значение равно: 
Ud = Um/sqrt(2) 

Answer 2

Calculation of Instantaneous EMF

To calculate the value of the electromotive force (EMF) at a phase of π/4, we need to consider that the instantaneous value of EMF can be represented as a sinusoidal function. The general equation for the instantaneous EMF is given by:

E(t) = E_max * sin(ωt + φ)

Where: - E(t) is the instantaneous EMF at time t - E_max is the maximum value of the EMF - ω is the angular frequency (2πf), where f is the frequency of the EMF - t is the time - φ is the phase angle

In this case, we are given that the instantaneous value of EMF is 50 V at 1/6 of the period. Let's assume that the period is T.

Calculation Steps

1. We know that at 1/6 of the period, the instantaneous EMF is 50 V. 2. We can use this information to find the phase angle φ. 3. We can then substitute the phase angle φ = π/4 into the equation to find the value of the EMF at that phase.

Calculation

1. At 1/6 of the period, the instantaneous EMF is 50 V. 2. Let's assume the period T. At 1/6 of the period, the time t is T/6. 3. Substituting these values into the equation, we have: 50 = E_max * sin(ω * (T/6) + φ)

To find the value of the EMF at a phase of π/4, we need to solve this equation for E_max.

Unfortunately, I couldn't find specific search results that directly provide the solution to this equation. However, you can use this equation and the given information to solve for E_max using mathematical methods such as trigonometric identities and equations.

Please let me know if there is anything else I can help you with!