Question

В однородном магнитном поле с индукцией 10 м Тл проводник длиной 20 см движется под углом 90 к индукции магнитного поля со скоростью 10 м/с. Чему равна ЭДС индукции, возникающая в проводнике?

Answer 1

Ответ:

• ЭДС индукции в проводнике равна $\boldsymbol{\varepsilon _i}=\bf{0,02} \; \bf{B}$

Объяснение:

Дано:

B=10 мТл = 10·10⁻³ Тл

$l$=20 см = 0,2 м

α=∠(B; $v$)=90°

$v$=10 м/с

Найти: $\varepsilon _i$ - ?

Решение:

ЭДС в движущемся проводнике: $\boxed{\varepsilon _i=Bvl\sin \alpha }$, где B - индукция магнитного поля, $\boldsymbol v$ - скорость движения проводника, $\boldsymbol l$ - длина проводника, α - угол между вектором индукции и вектором скорости.

Тогда ЭДС индукции в проводнике:

$\boldsymbol{\varepsilon _i}=Bvl\sin \alpha =10\cdot 10^{-3}\cdot 10\cdot 0,2\cdot \sin90^\circ=\bf{0,02} \; \bf{B}$

#SPJ1

Answer 2

Calculation of the Induced EMF

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

The formula for calculating the induced EMF is:

EMF = B * L * v * sin(theta)

Where: - EMF is the induced electromotive force - B is the magnetic field induction (given as 10 mT or 10 * 10^-3 T) - L is the length of the conductor (given as 20 cm or 20 * 10^-2 m) - v is the velocity of the conductor (given as 10 m/s) - theta is the angle between the velocity vector and the magnetic field vector (given as 90 degrees)

Substituting the given values into the formula, we can calculate the induced EMF:

EMF = (10 * 10^-3 T) * (20 * 10^-2 m) * (10 m/s) * sin(90 degrees)

Simplifying the equation:

EMF = 0.01 V

Therefore, the induced electromotive force (EMF) in the conductor is 0.01 V.