
В цепи параллельно соединены катушка индуктивности и конденсатор При частоте F=50 Гц XL=50 Ом,
Xc=450 Ом. При какой частоте ток источника будет равен нулю?

Ответы на вопрос




Calculation of the Current Frequency at which the Source Current will be Zero
To determine the frequency at which the source current will be zero in a parallel circuit consisting of an inductive coil and a capacitor, we need to consider the reactance of both components.
The reactance of an inductive coil (XL) is given by the formula:
XL = 2πfL.
Where: - XL is the reactance of the inductive coil, - f is the frequency of the current, and - L is the inductance of the coil.
The reactance of a capacitor (XC) is given by the formula:
XC = 1 / (2πfC).
Where: - XC is the reactance of the capacitor, - f is the frequency of the current, and - C is the capacitance of the capacitor.
In the given circuit, XL = 50 Ω and XC = 450 Ω.
To find the frequency at which the source current will be zero, we need to equate the reactances of the inductive coil and the capacitor:
XL = XC.
Substituting the given values, we have:
50 = 1 / (2πfC).
Simplifying the equation, we get:
f = 1 / (2π × 50 × 450).
Calculating the value, we find:
f ≈ 0.000141 Hz.
Therefore, the frequency at which the source current will be zero is approximately 0.000141 Hz.
Please note that the given frequency of 50 Hz does not result in a zero source current.
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