Question

Электрическое поле создается двумя точечными зарядами. Напряженности полей этих зарядов заданы проекциями E1x=2 E2x=2 E1y=-5 E2y=2. Найти модуль напряженности результирующего поля.

Answer 1

согласно принципу суперпозиции 

 напряженность результирующего поля равна совокупности дискретных источников

проще говоря нужно сделать скалярное сложение координат

Ex =E1x + E2x = 2+2 =4

Ey =E1y + E2y = -5+2=-3

E^2 = Ex^2 +Ey^2 =4^2 +(-3)^2 = 16+0 =25

E= 5

 

ответ  5

Answer 2

Calculation of the Resultant Electric Field Intensity

To find the magnitude of the resultant electric field intensity, we need to consider the contributions from both point charges. The electric field intensity at a point due to a point charge is given by Coulomb's law:

E = k * (q / r^2)

where: - E is the electric field intensity - k is the electrostatic constant (k = 9 x 10^9 Nm^2/C^2) - q is the charge of the point charge - r is the distance between the point charge and the point where the electric field is being calculated

Let's calculate the electric field intensity due to each point charge and then find the resultant electric field intensity.

For the first point charge: - E1x = 2 - E1y = -5

For the second point charge: - E2x = 2 - E2y = 2

To find the resultant electric field intensity, we can use the principle of vector addition. The x-component and y-component of the resultant electric field intensity can be calculated by adding the corresponding components of the individual electric field intensities:

ERx = E1x + E2x ERy = E1y + E2y

Now, we can calculate the magnitude of the resultant electric field intensity using the Pythagorean theorem:

ER = sqrt(ERx^2 + ERy^2)

Let's substitute the given values and calculate the magnitude of the resultant electric field intensity.

ERx = 2 + 2 = 4 ERy = -5 + 2 = -3

ER = sqrt(4^2 + (-3)^2) = sqrt(16 + 9) = sqrt(25) = 5

Therefore, the magnitude of the resultant electric field intensity is 5.

Please note that the above calculations are based on the given values and assumptions. If there are any additional details or considerations, please let me know.