Question

Два электрических заряда 0,3 мКл и 2 мКл взаимодействуют в вакууме с силой 6Н. Определить расстояние между зарядами.

Answer 1

F=k*q1*q2/R^2
R=sqrt(k*q1*q2/F)=sqrt(9*10^9*0,3*10^-3*2*10^-3/6)=30 м

Answer 2

Calculation of the Distance Between Two Electric Charges

To determine the distance between two electric charges, we can use Coulomb's law, which states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Given: - Charge 1 (q1) = 0.3 mC (milliCoulombs) - Charge 2 (q2) = 2 mC (milliCoulombs) - Force (F) = 6 N (Newtons)

We can use the formula for Coulomb's law to calculate the distance (r) between the charges:

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

Where: - F is the force between the charges - k is the electrostatic constant (k = 9 x 10^9 Nm^2/C^2) - q1 and q2 are the magnitudes of the charges - r is the distance between the charges

To find the distance (r), we rearrange the formula:

r = sqrt((k * (q1 * q2)) / F)

Now, let's substitute the given values into the formula and calculate the distance:

r = sqrt((9 x 10^9 Nm^2/C^2 * (0.3 mC * 2 mC)) / 6 N)

Calculating this expression gives us the distance between the charges.

Please note that the units need to be consistent throughout the calculation. In this case, we are using milliCoulombs (mC) for the charges and Newtons (N) for the force. The electrostatic constant (k) is given in Nm^2/C^2.

Let's calculate the distance using the given values.