Question

Пылинка массой 17 мкг покоится в однородном электрическом поле. Величина напряжонности поля составляет 2,5 мВ/см, силовые линии поля перпендикулярны поверхности Земли. Вычислите величину заряда пылинки в микрокулонах

Answer 1

ылинка массой 17 мкг покоится в однородном электрическом поле. Величина напряжонности поля составляет 2,5 мВ/см, силовые линии поля перпендикулярны поверхности Земли. Вычислите величину заряда пылинки в микрокулонах

Дано  m=17*10^-9 кг    Е=2,5*10^-3/10^-2 В/м=0,25 В/м  q- ?

в условиях равновесия Е*q= m*g
q=m*g/Е=17*10^-9*10/2,5*10^-1=6,8*10^-8=680 мкКл

Answer 2

Calculating the Charge of the Dust Particle

To calculate the charge of the dust particle, we can use the formula for the electric force experienced by a charged particle in an electric field.

The formula for the electric force experienced by a charged particle in an electric field is given by:

F = qE

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

Given: - Mass of the dust particle, m = 17 µg = 17 × 10^-6 g - Electric field strength, E = 2.5 mV/cm = 2.5 × 10^-3 V/cm = 2.5 × 10^2 V/m

First, we need to find the weight of the dust particle using the formula:

Weight = mass × acceleration due to gravity

The acceleration due to gravity, g, is approximately 9.81 m/s^2.

Let's calculate the weight of the dust particle: ``` Weight = 17 × 10^-6 g × 9.81 m/s^2 ```

Calculating the Charge

Now, we can use the weight of the dust particle to calculate the charge using the formula for the electric force:

F = qE

We can rearrange the formula to solve for the charge, q:

q = F / E

Where: - F is the weight of the dust particle - E is the electric field strength

Let's calculate the charge of the dust particle: ``` q = Weight / E ```

After calculating the charge using the provided values, we can determine the magnitude of the charge of the dust particle in microcoulombs.