Question

Заряженная частица начинает двигаться в магнитном поле по окружности со скоростью 10^6 м/с. Индукция магнитного поля равна 0,3Тл , радиус окружности 4см. Определите массу частицы если ее заряд 3,2 *10^-19

Answer 1

Bqv=(mv^2)/R;
Bq=mv/R;
m=BqR/v=0.3*3.2*10^(-19)*4*10^(-2)/10^6=0,96*4*10^(-19-2-6)=3.84*10^(-27) кг

Answer 2

Calculating the Mass of the Charged Particle

To calculate the mass of the charged particle, we can use the formula for the centripetal force acting on a charged particle moving in a magnetic field.

The centripetal force acting on a charged particle moving in a magnetic field is given by the formula:

F = qvB

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

The centripetal force is also given by the formula:

F = (mv^2)/r

Where: - m is the mass of the particle, and - r is the radius of the circular path.

Equating the two expressions for the centripetal force, we get:

(mv^2)/r = qvB

Solving for m, we get:

m = (qBr)/v

Given: - q = 3.2 * 10^-19 C (charge of the particle) - B = 0.3 T (magnetic field strength) - r = 0.04 m (radius of the circular path) - v = 10^6 m/s (velocity of the particle)

Substitute these values into the formula to find the mass of the particle.

m = (3.2 * 10^-19 C * 0.3 T * 0.04 m) / 10^6 m/s

Calculating the value of m using the given values.