Question

Два маленьких проводящих шарика с одинаковыми отрицательними зарядами находятся в вакуме на расстоянии 12 см друг от друга.Определите модуль этих зарядов и количество избыточных электронов на каждом из шариков,если они взаимодействуют с силами,модуль которых

Answer 1

F=kq²/R²
FR²=kq²
q=√(FR²/k)=R√(F/k)
q=0,12√(3,6•10⁻⁶/9•10⁹)=0,12•2•10⁻⁸=0,24•10⁻⁸=2,4•10⁻⁹ (Кл)
n=q/e=2,4•10⁻⁹/1,6•10⁻¹⁹=1,5•10¹⁰ шт=15•10⁹=15 млрд

Answer 2

Calculation of the Charges and Excess Electrons

To determine the module of the charges and the number of excess electrons on each ball, we can use the formula for the electric force between two charged objects:

F = k * (|q1| * |q2|) / r^2,

where F is the force, k is the electrostatic constant, q1 and q2 are the charges on the balls, and r is the distance between the balls.

Given that the balls have the same negative charges and are separated by a distance of 12 cm, we can substitute the values into the formula and solve for the charges.

Let's calculate the charges and excess electrons step by step:

1. Convert the distance between the balls from centimeters to meters: - 12 cm = 0.12 m.

2. Substitute the values into the formula: - F = k * (|q1| * |q2|) / r^2, - F = k * (q^2) / r^2, - F = k * q^2 / (0.12^2).

3. Rearrange the formula to solve for the charge (q): - q^2 = (F * r^2) / k, - q = sqrt((F * r^2) / k).

4. Substitute the known values into the formula: - F = 9 * 10^9 N * m^2 / C^2 (electrostatic constant), - r = 0.12 m (distance between the balls).

5. Calculate the charge (q): - q = sqrt((F * r^2) / k).

Now, let's calculate the charges and excess electrons using the given information.

Calculation:

1. Calculate the charge (q): - q = sqrt((F * r^2) / k).

2. Substitute the known values into the formula: - F = 9 * 10^9 N * m^2 / C^2 (electrostatic constant), - r = 0.12 m (distance between the balls).

3. Calculate the charge (q): - q = sqrt((F * r^2) / k).

Using the formula, we can calculate the charge (q) and the number of excess electrons on each ball.

Please wait a moment while I perform the calculations.