Question

Два шарика, расположенные на расстоянии 10 см друг от друга, имеют одинаковые отрицательные заряды и взаимодействуют с силой 0,23 мН. Найдите число электронов на каждом шарике.

Answer 1

F= rq1q2/ r^2= kq^2 / r^2

Найдем заряд шарика  q= r * из дроби F/k = 0,1 * корень из  0,00023/ 9*10^9=1,59* 10^-8 Кл

  число электронов можно найти разделив этот заряд на заряд одного электрона

N= q / qe= 1,59*10-8  /  1,6*10^-19=0,99 * 10^11

Answer 2

Calculation of the Number of Electrons on Each Ball

To find the number of 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 between the two balls, - k is the electrostatic constant (approximately 9 * 10^9 Nm^2/C^2), - q1 and q2 are the charges on the balls, and - r is the distance between the balls.

Given that the force between the balls is 0.23 mN and the distance between them is 10 cm (or 0.1 m), we can rearrange the formula to solve for the product of the charges (q1 * q2):

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

Let's substitute the given values into the formula and calculate the product of the charges:

q1 * q2 = (0.23 * 10^-3 * (0.1)^2) / (9 * 10^9).

Calculating this expression gives us the product of the charges on the balls.

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Now, since both balls have the same negative charge, we can assume that the charges on each ball are equal. Therefore, we can find the charge on each ball by taking the square root of the product of the charges:

q = sqrt(q1 * q2).

Substituting the calculated value of the product of the charges into the formula, we can find the charge on each ball.

Finally, to find the number of electrons on each ball, we need to divide the charge on each ball by the elementary charge, which is approximately 1.6 * 10^-19 C.

Let's perform the calculations:

1. Calculate the product of the charges: q1 * q2 = (0.23 * 10^-3 * (0.1)^2) / (9 * 10^9).

2. Calculate the charge on each ball: q = sqrt(q1 * q2).

3. Calculate the number of electrons on each ball: number of electrons = q / (1.6 * 10^-19).

Please note that the calculated number of electrons will be an approximation, as we are assuming that the charges on the balls are due to excess electrons.

Let's perform the calculations to find the number of electrons on each ball.