Question

Дротяна рамка площею 25 см2 обертається в однорідному магнітному полі з індукцією 1,6 Тл так, що амплітуда коливань ЕРС індукції в ній дорівнює 1 В. Визначте, скільки обертів робить рамка за 1 с.

Answer 1

1. Відповідь:N= 39 об. с    

Пояснення:

Answer 2

Calculation of the Number of Turns Made by the Frame

To calculate the number of turns made by the frame per second, we can use the formula:

EMF = NBAωsin(ωt)

Where: - EMF is the electromotive force (in volts) - N is the number of turns in the coil - B is the magnetic field strength (in teslas) - A is the area of the coil (in square meters) - ω is the angular frequency (in radians per second) - t is the time (in seconds)

Given: - A = 25 cm^2 = 0.0025 m^2 - B = 1.6 T - EMF = 1 V

We need to find the number of turns (N) and the angular frequency (ω) to calculate the number of turns made by the frame per second.

Calculating the Angular Frequency (ω)

The angular frequency (ω) can be calculated using the formula:

EMF = NBAωsin(ωt)

Since sin(ωt) oscillates between -1 and 1, the maximum value of sin(ωt) is 1. Therefore, when sin(ωt) = 1, we have:

EMF = NBAω

Solving for ω:

ω = EMF / (NBA)

Calculating the Number of Turns (N)

We can rearrange the formula to solve for N:

N = EMF / (BAω)

Substituting the Given Values

Substitute the given values into the formulas to find ω and N:

- A = 0.0025 m^2 - B = 1.6 T - EMF = 1 V

Calculating ω

ω = EMF / (NBA) ω = 1 / (N * 0.0025 * 1.6)

Calculating N

N = EMF / (BAω) N = 1 / (0.0025 * 1.6 * ω)

Let's calculate the values of ω and N using the given information.