How is an LC circuit different from a RC circuit?
An LC – Circuit Due to the absence of a resistor in the ideal form of the circuit, an LC circuit consumes no energy. This is unlike the ideal forms of RC circuits, RL circuits, or RLC circuits, which consume energy due to the presence of a resistor.
How are the inductor and capacitor connected in a LC circuit?
In the series LC circuit, the inductor and capacitor both are connected in a series that is shown in the figure. Since in a series circuit current is the same everywhere in the circuit hence the flow of current is equal to the current through both the inductor and the capacitor.
How does the LC circuit work at the resonant frequency?
Thus at resonant condition when total electrical impedance Z will be zero means X L and X C cancel out each other. hence, current supplied to a series LC circuit is maximum ( ). Therefore the series LC circuit, when connected in series with the load, will act as a band-pass filter having zero impedance at the resonant frequency.
What is the integro-differential equation of an LC circuit?
The equation (10) and (12) indicates the frequency response of an L-C circuit in complex form. The above equation is called the integro-differential equation. Here voltage across the capacitor is expressed in terms of current. The above equation indicates the second-order differential equation of LC circuit.
When does the reactance of an LC circuit cancel out?
At resonance condition when the inductive reactance () equal to the capacitive reactance ( ), the reactive branch current is equal and opposite. Hence, they cancel out each other to give minimum current in the circuit. In this state total impedance is maximum.
How is the current in a parallel LC circuit calculated?
Hence the voltage across the terminals is equal to the voltage across the inductor and the voltage across the capacitor. Now the total current flowing through the parallel LC circuit is equal to the sum of the current flowing through the inductor and the current flowing through the capacitor.