Points A, B, C and D are on the same straight line. Moreover, AB

The coordinates of points A, B, C and D are specified as follows: A(0,0), B(10,0), C(20,0), D(30,0). The distance between neighboring points is 10 cm. At points A and C there are charges +210^-6 C and -1510^-6 C respectively.

To determine the field strength at points B and D, it is necessary to calculate the strength of the electric field created by the charges at points A and C, and divide it by the distance between points B and A, as well as between points D and C, respectively.

Thus, the field strength at points B and D can be calculated using the formula:

E = k * Q / r^2

where k is the Coulomb constant (9 * 10^9 N * m^2 / C^2), Q is the charge, r is the distance between the points.

For point B:

E = k * (2 * 10^-6 Kl) / (10 * 10^-2 m)^2 = 18 * 10^3 N / Kl

For point D:

E = k * (-15 * 10^-6 Kl) / (10 * 10^-2 m)^2 = -135 * 10^3 N / Kl

The minus sign means that the direction of the field is directed from point D to point C.

To find the field potential at each point, you need to integrate the field strength along the path from infinity to the corresponding point. In this case, the potential at infinity is taken as zero.

Thus, the field potential at point B is equal to:

V_B = k * (2 * 10^-6 Kl) * (1 / (10 * 10^-2 m)) = 18 * 10^3 V

And at point D:

V_D = k * (-15 * 10^-6 Kl) * (1 / (20 * 10^-2 m)) = -6.75 * 10^3 V

The minus sign means that the potential at point D is lower than at infinity.

Product code: 12345

Product name: ?electrostatic field on a straight line

Product description:

?electrostatic field on a straight line

Product code: 12345

This digital product is a description of the electrostatic field on

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This product is a solution to problem 31518, associated with determining the field strength and potential at points B and D located on a straight line passing through points A, B, C and D, provided that the distance between points AB, BC and SD is 10 cm , and at points A and C there are charges +210^-6 C and -1510^-6 C respectively.

To solve the problem, formulas related to Coulomb's law and the determination of the potential and electric field strength will be used. The calculation formula will be derived based on these formulas and the conditions of the problem.

After the calculations, the answer will be a certain value of the field strength and potential at points B and D. If you have questions about solving the problem, I am ready to help you understand them.


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