Question

Заряд 10 нKл создает электрическое поле. Какую работу co- вершают силы этого поля при перемещении заряда 1 нКл вдоль сило- вой линии из точки, находящейся на расстоянии 8 см от первого заряда, до расстояния 1 м от него?

Answer 1

Решение на фотографии

Answer 2

Calculation of Work Done by Electric Field

To calculate the work done by the electric field when moving a charge of 1 nC along the line of force from a point 8 cm away from the first charge to a distance of 1 m from it, we need to consider the formula for the work done by an electric field on a charge:

Work done by electric field = electric field strength x charge x displacement

The electric field strength at a distance r from a point charge Q can be calculated using Coulomb's Law:

Electric field strength = k * (Q / r^2)

Where: - k is the electrostatic constant, approximately equal to 9 x 10^9 Nm^2/C^2 - Q is the charge creating the electric field - r is the distance from the charge

Let's calculate the work done step by step.

1. Calculate the electric field strength at a distance of 8 cm (0.08 m) from the first charge of 10 nC using Coulomb's Law:

Electric field strength = (9 x 10^9 Nm^2/C^2) * (10 nC) / (0.08 m)^2

Electric field strength = 140625 N/C

2. Calculate the displacement of the charge from 8 cm (0.08 m) to 1 m:

Displacement = 1 m - 0.08 m

Displacement = 0.92 m

3. Calculate the work done by the electric field:

Work done = (140625 N/C) * (1 nC) * (0.92 m)

Work done = 129375 Nm = 129.375 J

Therefore, the work done by the electric field when moving a charge of 1 nC along the line of force from a point 8 cm away from the first charge to a distance of 1 m from it is 129.375 J.