Question

Электрон,имеющий скорость 10^7 м/с,движется перпендикулярно плоскости чертежа к наблюдателю в магнитном поле с индукцией 10 мТл. Какое напряжение надо подать на пластины А и B , расстояние между которыми 5см, чтобы движение электрона было прямолинейным. Покажите полярность этого напряжения.

Answer 1

F=e*B*V
B=F/e*V=2*10^-14/1,6*10^-19*10^-10^-3=1,26*10^8 Тл

Answer 2

Calculating the Required Voltage for Straight-Line Motion of an Electron in a Magnetic Field

To calculate the voltage required to make the electron's motion straight, we can use the formula for the force experienced by a charged particle moving perpendicular to a magnetic field.

The formula for the force experienced by a charged particle moving perpendicular to a magnetic field is given by:

F = qvB

Where: - F is the magnetic force - q is the charge of the particle - v is the velocity of the particle - B is the magnetic field strength

The magnetic force provides the necessary centripetal force to keep the electron moving in a circular path. To make the electron's motion straight, an additional electric field is required to counteract the magnetic force.

The electric field required to counteract the magnetic force is given by:

E = F/q

Where: - E is the electric field - F is the magnetic force - q is the charge of the particle

The voltage required to create the electric field can be calculated using the formula:

V = Ed

Where: - V is the voltage - E is the electric field - d is the distance between the plates

Calculation

Given: - Velocity of the electron, v = 10^7 m/s - Magnetic field strength, B = 10 mT = 10^-2 T - Distance between the plates, d = 5 cm = 0.05 m

First, let's calculate the magnetic force using the formula F = qvB: F = (1.6 x 10^-19 C) * (10^7 m/s) * (10^-2 T)

Then, we can calculate the electric field using the formula E = F/q: E = F / (1.6 x 10^-19 C)

Finally, we can find the voltage using the formula V = Ed: V = E * d

Let's calculate the values.