Question

Значение ЭДС, измеренное в вольтах, задано уравнением е = 50sin80 πt.. Укажите все правильные утверждения. А. Амплитуда ЭДС 100 В. Б. Период равен 0,025 с. В. Частота равна 40 Гц.

Answer 1

Б,В т.к. w=2π/T=> T=0.025c
v=1/T=40 Гц

Answer 2

Meaning of EMF in Volts

The equation given is e = 50sin(80πt), where e represents the electromotive force (EMF) measured in volts. Let's analyze the given equation and determine the correct statements.

A. Amplitude of EMF is 100 V

To find the amplitude of the EMF, we need to consider the coefficient of the sine function. In this case, the coefficient is 50. Therefore, the amplitude of the EMF is 50 V, not 100 V.

B. Period is 0.025 s

The period of a periodic function is the time it takes for the function to complete one full cycle. In this case, the equation is e = 50sin(80πt). The coefficient of t inside the sine function is 80π. To find the period, we can use the formula T = 2π/ω, where T is the period and ω is the angular frequency. The angular frequency is given by ω = 80π. Substituting the values into the formula, we get T = 2π/(80π) = 1/40 = 0.025 s. Therefore, the statement is correct.

C. Frequency is 40 Hz

The frequency of a periodic function is the number of cycles completed per unit time. It is the reciprocal of the period. In this case, the period is 0.025 s, so the frequency is 1/0.025 = 40 Hz. Therefore, the statement is correct.

In summary, the correct statements are B. Period is 0.025 s and C. Frequency is 40 Hz. The statement A. Amplitude of EMF is 100 V is incorrect.