Agata 78 said:I believe the resonant frequency equation is:
fr = 1 / 2∏√(LC)
However, I am struggling to work out the value for C (Capacitance). As in the question I have 20uF capacitor.
Is 20uF the value for C?
Agata 78 said:Can you please help me work out the value of C for Part 1?
For Part 2. Dynamic resiatance is the same as dynamic impedance.
No, not precisely. That is true for an ideal resonant circuit where R=0. For any practical circuit, with non-zero R, that is only a handy approximation. This problem requires that you determine the precise resonant frequency.Agata 78 said:I believe the resonant frequency equation is:
fr = 1 / 2∏√(LC)
Yes. The problem specs give you R, L and C. Draw that circuit and write an expression for the impedance of each element, in Ohms.However, I am struggling to work out the value for C (Capacitance). As in the question I have 20uF capacitor.
Is 20uF the value for C?
A series R-L-C circuit is a type of electrical circuit that contains a resistor (R), an inductor (L), and a capacitor (C) connected in a series, or one after the other, along a single path for the flow of current.
A series R-L-C circuit behaves differently depending on the frequency of the applied voltage. At low frequencies, the inductive reactance (XL) is greater than the capacitive reactance (XC), so the circuit is dominated by the inductor and behaves like a low-pass filter. At high frequencies, the opposite is true and the circuit behaves like a high-pass filter. At the resonant frequency, the capacitive and inductive reactances cancel each other out, resulting in a purely resistive circuit with maximum current.
A parallel R-L-C circuit is a type of electrical circuit in which the components are connected in parallel, or side by side, with each other. This means that the voltage is the same across each component, but the current is divided among them.
A parallel R-L-C circuit behaves differently depending on the frequency of the applied voltage. At low frequencies, the inductive reactance (XL) is greater than the capacitive reactance (XC), so the circuit is dominated by the inductor and behaves like a high-pass filter. At high frequencies, the opposite is true and the circuit behaves like a low-pass filter. At the resonant frequency, the capacitive and inductive reactances cancel each other out, resulting in a purely resistive circuit with minimum impedance.
R-L-C circuits have a wide range of applications in electronics and engineering. They are commonly used in filters for signal processing and frequency selection, as well as in power supplies to regulate and smooth the output voltage. They are also used in oscillators and tuning circuits for radio and communication systems. In addition, R-L-C circuits are important components in electric motors, generators, and transformers.