Question

Электрон влетает в однородное магнитное поле со скоростью 40 Мм/с, перпендикулярно силовым линиям. Индукция поля 1мТл. Чему равно центростремительное ускорение электрона?

Answer 1

M*V^2/R=e*B*V
a=V^2/R=e*B*V/m=1,6*10^-19*10^-3*40*10^6/9*10^-31=7,1*10^15 м/с2

Answer 2

Calculating the Centripetal Acceleration of the Electron

An electron enters a uniform magnetic field with a velocity of 40 Mm/s perpendicular to the field lines and an induction of 1 mT. We can calculate the centripetal acceleration of the electron using the formula:

Centripetal acceleration (a) = (charge of the electron (e) * velocity (v) * magnetic induction (B)) / (mass of the electron (m))

Let's calculate the centripetal acceleration using the given values:

- Charge of the electron (e) = 1.6 x 10^-19 C- Velocity (v) = 40 Mm/s = 40 x 10^6 m/s - Magnetic induction (B) = 1 mT = 1 x 10^-3 T- Mass of the electron (m) = 9.11 x 10^-31 kg Substituting these values into the formula:

Centripetal acceleration (a) = (1.6 x 10^-19 C * 40 x 10^6 m/s * 1 x 10^-3 T) / (9.11 x 10^-31 kg) = 2.63 x 10^14 m/s^2

Therefore, the centripetal acceleration of the electron is 2.63 x 10^14 m/s^2.