Question

Частица с электрическим зарядом 8×10^-19 Кл движется со скоростью 1000км/с в магнитном поле с индукцией 5 Тл. Угол между векторами скорости и индукции 30°. Каково значение силы лоренца

Answer 1

F=qVBsinα
Так как скорость (V) в км/с, то нужно перевести в м/с =1000×1000=1 000 000 или 1×10^6
F=8×10^-19×1×10^6×5×½
F=40×10^-13×½
F=2×10^-12

Answer 2

Calculation of the Lorentz Force

To calculate the value of the Lorentz force acting on a particle with an electric charge of 8×10^-19 C moving with a velocity of 1000 km/s in a magnetic field with an induction of 5 T and an angle of 30° between the velocity vector and the magnetic field, we can use the formula for the Lorentz force:

F = q * v * B * sin(θ)

Where: - F is the Lorentz force - q is the electric charge of the particle - v is the velocity of the particle - B is the magnetic field induction - θ is the angle between the velocity vector and the magnetic field

Let's substitute the given values into the formula:

F = (8×10^-19 C) * (1000 km/s) * (5 T) * sin(30°)

To perform the calculation, we need to convert the velocity from km/s to m/s and the angle from degrees to radians:

- Velocity: 1000 km/s = 1000 * 1000 m/s = 1,000,000 m/s - Angle: 30° = 30 * (π/180) radians ≈ 0.5236 radians

Now we can calculate the Lorentz force:

F ≈ (8×10^-19 C) * (1,000,000 m/s) * (5 T) * sin(0.5236 radians)

Calculating this expression gives us the value of the Lorentz force.