Question

Разность потенциалов между пластинами плоского конденсатора равна 100В. Площадь каждой пластины 0,05 м^2, заряд на пластинах 10^-8 Кл. Пространство между пластинами заполнено парафином (Е=2). на каком расстоянии друг от друга находятся пластины?

Answer 1

Решение в фотографии.

Answer 2

Calculation of the Distance Between the Plates

To calculate the distance between the plates of a flat capacitor, we can use the formula:

C = (ε₀ * εᵣ * A) / d

Where: - C is the capacitance of the capacitor - ε₀ is the vacuum permittivity (8.85 x 10⁻¹² F/m) - εᵣ is the relative permittivity of the material between the plates (in this case, paraffin with εᵣ = 2) - A is the area of each plate (0.05 m²) - d is the distance between the plates (unknown)

We are given that the potential difference between the plates is 100 V and the charge on the plates is 10⁻⁸ C.

Using the formula for capacitance, we can rearrange it to solve for d:

d = (ε₀ * εᵣ * A) / C

Let's substitute the given values into the formula and calculate the distance between the plates.

Given: - Potential difference (V) = 100 V - Area of each plate (A) = 0.05 m² - Charge on the plates (Q) = 10⁻⁸ C - Relative permittivity of paraffin (εᵣ) = 2 - Vacuum permittivity (ε₀) = 8.85 x 10⁻¹² F/m

Calculations: - Capacitance (C) = Q / V - C = 10⁻⁸ C / 100 V - C = 10⁻¹⁰ F

- Distance between the plates (d) = (ε₀ * εᵣ * A) / C - d = (8.85 x 10⁻¹² F/m * 2 * 0.05 m²) / (10⁻¹⁰ F) - d = 0.0885 m

Therefore, the distance between the plates of the capacitor is 0.0885 meters.