Question

ПОМОГИТЕ! 45 балов Максимальне значення енергії електричного поля конденсатора в ідеальному коливальному контурі 4,5*10^-4 Дж. Визначити амплітудне значення сили струму під час коливань, якщо індуктивність котушки 10 мГн

Answer 1

Ответ:

0,3 A

Объяснение:

W=4.5*10⁻⁴ Дж    L=100*10⁻⁴ Гн    Im=?

===

W=L*Im²/2

Im=√(2*W/L)=√(2*4.5*10⁻⁴/(100*10⁻⁴))=0.3 A

=============================

Answer 2

Ответ:

Объяснение:

Дано:

Wс = 4,5·10⁻⁴ Дж

L = 10 мГн = 10·10⁻³ Гн

__________

Imax - ?

По закону сохранения энергии максимальная энергия конденсатора равна максимальному значению катушки в идеальном колебательном контуре.

Wс =WL

Но WL = L·(Imax)² / 2

Тогда:

Imax = √ (2·Wс / L)

Imax = √ ( 2·4,5·10⁻⁴/ (10·10⁻³) ) ≈ 0,3 А

Answer 3

Calculation of the Amplitude of Current in an Ideal Oscillating Circuit

To determine the amplitude of the current in an ideal oscillating circuit, we need to use the given information about the maximum energy of the electric field in the capacitor and the inductance of the coil.

The maximum energy of the electric field in the capacitor is given as 4.5 * 10^-4 J (joules), and the inductance of the coil is given as 10 mH (millihenries).

To calculate the amplitude of the current, we can use the formula:

E = (1/2) * C * V^2

where: - E is the energy stored in the electric field of the capacitor, - C is the capacitance of the capacitor, and - V is the voltage across the capacitor.

In an ideal oscillating circuit, the energy stored in the electric field of the capacitor is equal to the energy stored in the magnetic field of the inductor. Therefore, we can equate the energy stored in the electric field to the energy stored in the magnetic field:

(1/2) * C * V^2 = (1/2) * L * I^2

where: - L is the inductance of the coil, and - I is the amplitude of the current.

Now, let's solve for I:

(1/2) * C * V^2 = (1/2) * L * I^2

We are given the value of the energy stored in the electric field (4.5 * 10^-4 J) and the inductance (10 mH). We need to find the amplitude of the current (I).

To find the capacitance (C), we can rearrange the formula for energy stored in the electric field:

E = (1/2) * C * V^2

Solving for C:

C = (2 * E) / V^2

Now, we can substitute the values into the formula to find the capacitance:

C = (2 * 4.5 * 10^-4 J) / (V^2)

Unfortunately, we don't have the value of the voltage (V) across the capacitor. Without this information, we cannot calculate the capacitance or the amplitude of the current.

Please provide the value of the voltage (V) across the capacitor so that we can continue with the calculation.