Question

определите амплитуду и действующее значение эдс индукции в замкнутом контуре площадью 40 см^2 при частоте вращения 100 об/с в магнитном поле с индукцией 0.01 Тл

Answer 1

Ответ:

а ответи будет 34об/с или 50 си^2

Answer 2

Amplitude and RMS Value of Induced EMF in a Closed Circuit

To determine the amplitude and RMS (Root Mean Square) value of the induced electromotive force (EMF) in a closed circuit, we need to consider the area of the circuit, the rotation frequency, and the magnetic field induction.

Given information: - Circuit area: 40 cm^2 - Rotation frequency: 100 revolutions per second - Magnetic field induction: 0.01 T

To calculate the amplitude of the induced EMF, we can use the formula:

Amplitude of induced EMF (E) = B * A * ω

Where: - B is the magnetic field induction - A is the area of the circuit - ω is the angular velocity (2πf, where f is the frequency in Hz)

Let's calculate the amplitude of the induced EMF:

Amplitude of induced EMF (E) = 0.01 T * 40 cm^2 * 2π * 100 rev/s

Converting the area to square meters and the angular velocity to radians per second:

Amplitude of induced EMF (E) = 0.01 T * (40 cm^2 * (1 m / 100 cm)^2) * (2π * 100 * (2π rad / 1 rev))

Simplifying the equation:

Amplitude of induced EMF (E) = 0.01 T * (0.4 m^2) * (200π rad/s)

Calculating the result:

Amplitude of induced EMF (E) ≈ 25.13 V

Now, let's calculate the RMS value of the induced EMF. The RMS value is given by:

RMS value of induced EMF (E_rms) = E / √2

Where E is the amplitude of the induced EMF.

Substituting the calculated amplitude:

RMS value of induced EMF (E_rms) = 25.13 V / √2

Calculating the result:

RMS value of induced EMF (E_rms) ≈ 17.78 V

Therefore, the amplitude of the induced EMF in the closed circuit is approximately 25.13 V, and the RMS value is approximately 17.78 V.

Please note that the calculations provided are based on the given information and assumptions.