Question

металлическая тонкостенная сфера радиуса 5см заряжена до потенциала 200 В.найти потенциал и напряженность на расстоянии 10см от поверхности сферы.

Answer 1

Calculation of Potential and Electric Field

To find the potential and electric field at a distance of 10 cm from the surface of a metallic thin-walled sphere with a radius of 5 cm and a charge of 200 V, we can use the formula for the potential due to a charged sphere:

Potential (V) = k * (Q / r)

where: - V is the potential, - k is the electrostatic constant (approximately 9 x 10^9 Nm^2/C^2), - Q is the charge on the sphere, and - r is the distance from the center of the sphere.

In this case, the charge on the sphere is given as 200 V, and the distance from the surface of the sphere is 10 cm.

Let's calculate the potential and electric field step by step.

1. Calculation of Potential: - The potential at a distance of 10 cm from the surface of the sphere can be calculated using the formula mentioned above. - Plugging in the values, we get: - V = (9 x 10^9 Nm^2/C^2) * (200 V) / (0.1 m) - V = 1.8 x 10^12 Nm^2/C

2. Calculation of Electric Field: - The electric field at a distance of 10 cm from the surface of the sphere can be calculated using the formula: - Electric Field (E) = V / r - Plugging in the values, we get: - E = (1.8 x 10^12 Nm^2/C) / (0.1 m) - E = 1.8 x 10^13 N/C

Therefore, the potential at a distance of 10 cm from the surface of the sphere is 1.8 x 10^12 Nm^2/C, and the electric field at the same distance is 1.8 x 10^13 N/C.

Please note that the calculations assume the sphere is uniformly charged and the charge is distributed over the surface of the sphere.