Question

Поле создано зарядом 10-8 Кл. Какую работу совершают силы при перемещении протона из точки, находящейся на расстоянии 16 см от заряда до расстояния 20 см от него?

Answer 1

Qp - заряд протона

q=10^-8   k=9*10^9

r1=0.20    r2=0.16

A=Qp*(Ф2-Ф1)

A=Qp*k*q*(1/0.16 - 1/0.2)=............

Answer 2

Calculation of Work Done by Forces

To calculate the work done by forces when moving a proton from a point located at a distance of 16 cm from the charge to a point located at a distance of 20 cm from it, we need to consider the electric potential energy and the electric field.

The work done by forces can be calculated using the formula:

Work = Change in Potential Energy = -qΔV

Where: - Work is the work done by forces - q is the charge of the proton - ΔV is the change in electric potential

In this case, the charge of the proton is 10^-8 C.

To calculate the change in electric potential, we need to consider the electric field created by the charge. The electric field at a distance r from a point charge Q is given by:

E = kQ/r^2

Where: - E is the electric field - k is the Coulomb's constant (approximately 9 x 10^9 Nm^2/C^2) - Q is the charge of the proton - r is the distance from the charge

The change in electric potential can be calculated by integrating the electric field over the distance between the two points:

ΔV = ∫ E dr

Where: - ΔV is the change in electric potential - E is the electric field - dr is the infinitesimal distance

Now, let's calculate the work done by the forces.

Calculation Steps:

1. Calculate the electric field at a distance of 16 cm from the charge using the formula E = kQ/r^2. 2. Calculate the electric field at a distance of 20 cm from the charge using the same formula. 3. Calculate the change in electric potential by integrating the electric field over the distance between the two points using the formula ΔV = ∫ E dr. 4. Calculate the work done by the forces using the formula Work = -qΔV.

Calculation:

1. Electric field at a distance of 16 cm from the charge: - E1 = (9 x 10^9 Nm^2/C^2) * (10^-8 C) / (0.16 m)^2.

2. Electric field at a distance of 20 cm from the charge: - E2 = (9 x 10^9 Nm^2/C^2) * (10^-8 C) / (0.20 m)^2.

3. Change in electric potential: - ΔV = ∫ E dr = ∫ E2 - E1 dr = (9 x 10^9 Nm^2/C^2) * (10^-8 C) * ∫ (1 / (0.20 m)^2 - 1 / (0.16 m)^2) dr.

4. Work done by the forces: - Work = -qΔV = -(10^-8 C) * [(9 x 10^9 Nm^2/C^2) * (10^-8 C) * ∫ (1 / (0.20 m)^2 - 1 / (0.16 m)^2) dr].

Please note that the exact numerical value of the work done by the forces cannot be determined without knowing the limits of integration for the distance. However, the above calculation steps provide the general approach to calculate the work done by forces in this scenario.

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