Question

Два одинаковых по величине знаку заряда расположенных на расстоянии 30м друг от друга вакууме, отталкиваются с силой 5,4 H. Определить величину каждого заряда

Answer 1

$F = k \frac{ Q^{2} }{R^2} =\ \textgreater \ Q = R * \sqrt{ \frac{F}{k} } = 30 * \sqrt{ \frac{5,4}{9*10^9} } = 7,35 * 10^{-4}$Кл

Answer 2

Calculating the Magnitude of Each Charge

To calculate the magnitude of each charge, we can use the formula for the force between two charges in a vacuum:

F = k * |q1 * q2| / r^2

Where: - F is the force between the charges - k is the Coulomb's constant - q1 and q2 are the magnitudes of the charges - r is the distance between the charges

Given: - F = 5.4 N (force between the charges) - r = 30 m (distance between the charges) - k = 8.99 x 10^9 N m^2/C^2 (Coulomb's constant)

We can rearrange the formula to solve for the magnitude of each charge:

|q1 * q2| = F * r^2 / k

Let's calculate the magnitude of each charge using the given values.

Using the provided values: - F = 5.4 N - r = 30 m - k = 8.99 x 10^9 N m^2/C^2

We can calculate the magnitude of each charge using the formula: |q1 * q2| = F * r^2 / k

|q1 * q2| = 5.4 * (30)^2 / (8.99 x 10^9)

|q1 * q2| ≈ 5.4 * 900 / 8.99 x 10^9

|q1 * q2| ≈ 5400 / 8.99 x 10^9

|q1 * q2| ≈ 6.007 x 10^-7 C^2

Since the charges are identical in magnitude, we can express each charge as q. Therefore, the magnitude of each charge is approximately √(6.007 x 10^-7) C.

So, the magnitude of each charge is approximately 7.75 x 10^-4 C.