Question

Плоский воздушный конденсатор с расстоянием между пластинами 5 миллиметров подключили к источнику постоянного напряжения 300 вольт. Площадь одной пластины 314 сантиметров квадратных. Какой заряд имеет каждая пластина конденсатора?

Answer 1

Дано:
d = 5 мм = 5·10⁻³ м
U = 300 B
S = 314 см² = 314·10⁻⁴ м²
q - ?

Емкость конденсатора 
С = ε·ε₀·S /d      (1)
С другой стороны, емкость конденсатора равна:
C = q /U             (2)
Приравниваем (1) и (2)
ε·ε₀·S /d = q / U
Отсюда
q = ε·ε₀ ·S·U / d
q = 1·8,85·10⁻¹²·314·10⁻⁴·300 / 5·10⁻³ ≈ 1,7·10⁻⁸ Кл

Ответ: заряд на пластине  q = 1,7 · 10⁻⁸ кулона

{[email protected]} 

Answer 2

Calculating the Charge on Each Plate of the Capacitor

To calculate the charge on each plate of the capacitor, we can use the formula:

Q = C * V

Where: - Q = charge on the capacitor plates - C = capacitance of the capacitor - V = voltage across the capacitor

The capacitance of a parallel plate capacitor is given by the formula:

C = ε * A / d

Where: - C = capacitance - ε = permittivity of the material between the plates - A = area of each plate - d = separation between the plates

Given: - Voltage (V) = 300 volts - Separation between the plates (d) = 5 millimeters = 0.5 centimeters - Area of each plate (A) = 314 square centimeters

Let's calculate the charge on each plate using the provided values.

First, we need to calculate the capacitance (C) of the capacitor using the formula C = ε * A / d.

The permittivity of the material between the plates and its value are not provided in the search results. Therefore, it's not possible to calculate the exact charge on each plate without this information.

If you have the permittivity value, please provide it, and I can help you calculate the charge on each plate using the given formula.