Question

Найти скорость заряженной частицы, которую она приобрела , пройдя ускоряющее напряжение 12кВ и, попав в магнитное поле индукцией 0,87 Тл, описала окружность радиусом 0,17 м"

Answer 1

M*V^2/R=q*B*R
m*V^2=q*B*V*R
q*B*V*R=2*q*U
V=sqrt(2*U/B*R)=sqrt(2*12000/0,87*0,17)=402,8 м/с

Answer 2

Calculation of the Speed of a Charged Particle

To find the speed of a charged particle, we need to consider the effects of both the accelerating voltage and the magnetic field it encounters.

Given: - Accelerating voltage: 12 kV (kilovolts) - Magnetic field induction: 0.87 T (tesla) - Radius of the circular path: 0.17 m

To calculate the speed of the charged particle, we can use the following formula:

v = (e * V) / (B * r)

Where: - v is the speed of the charged particle - e is the elementary charge (1.6 x 10^-19 C) - V is the accelerating voltage - B is the magnetic field induction - r is the radius of the circular path

Let's substitute the given values into the formula and calculate the speed.

Step 1: Convert the accelerating voltage from kilovolts to volts: 12 kV = 12,000 V

Step 2: Substitute the values into the formula: v = (1.6 x 10^-19 C * 12,000 V) / (0.87 T * 0.17 m)

Step 3: Perform the calculation: v = (1.92 x 10^-15 C * V) / (0.1479 T * m)

Therefore, the speed of the charged particle is (1.92 x 10^-15 C * V) / (0.1479 T * m).

Please note that the actual numerical value of the speed depends on the specific values of the accelerating voltage, magnetic field induction, and radius of the circular path.