Question

Проводник длиной 2 м джижется со скоростью 20м/с в однородном магнитном поле с индукцией 0.2 Тл оставаясь перпендикулярным к линиям поля. Вектор скорости перпендикулярен к проводнику и образует с линиями индукции угол 30 градусов. Найдите ЭДС индуцируемую в проводнике.

Answer 1

ЭДС индукции в движущемся проводнике
$E=vBLsin \alpha =0.2*20*2* \frac{1}{2} =4V$ Ответ

Answer 2

Calculation of the Induced EMF in the Conductor

To find the induced electromotive force (EMF) in the conductor, we can use Faraday's law of electromagnetic induction. According to Faraday's law, the induced EMF in a conductor is equal to the rate of change of magnetic flux through the conductor.

The formula for the induced EMF is given by:

EMF = -N * dΦ/dt

Where: - EMF is the induced electromotive force - N is the number of turns in the conductor - dΦ/dt is the rate of change of magnetic flux through the conductor

In this case, the conductor is moving with a velocity of 20 m/s in a magnetic field with an induction of 0.2 T. The conductor is perpendicular to the lines of the magnetic field, and the angle between the velocity vector and the lines of induction is 30 degrees.

To calculate the induced EMF, we need to determine the rate of change of magnetic flux through the conductor.

Calculation of the Rate of Change of Magnetic Flux

The rate of change of magnetic flux through the conductor can be calculated using the formula:

dΦ/dt = B * A * cos(θ)

Where: - B is the magnetic field induction - A is the area of the conductor perpendicular to the magnetic field - θ is the angle between the magnetic field lines and the velocity vector

In this case, the conductor is perpendicular to the lines of induction, so the angle θ is 0 degrees. Therefore, the formula simplifies to:

dΦ/dt = B * A

To find the area of the conductor, we need to know the dimensions of the conductor. However, the dimensions of the conductor are not provided in the question. Therefore, we cannot calculate the exact value of the induced EMF without this information.

Please provide the dimensions of the conductor so that we can proceed with the calculation.