What is Lc circuit: Definition and 105 Discussions
An LC circuit, also called a resonant circuit, tank circuit, or tuned circuit, is an electric circuit consisting of an inductor, represented by the letter L, and a capacitor, represented by the letter C, connected together. The circuit can act as an electrical resonator, an electrical analogue of a tuning fork, storing energy oscillating at the circuit's resonant frequency.
LC circuits are used either for generating signals at a particular frequency, or picking out a signal at a particular frequency from a more complex signal; this function is called a bandpass filter. They are key components in many electronic devices, particularly radio equipment, used in circuits such as oscillators, filters, tuners and frequency mixers.
An LC circuit is an idealized model since it assumes there is no dissipation of energy due to resistance. Any practical implementation of an LC circuit will always include loss resulting from small but non-zero resistance within the components and connecting wires. The purpose of an LC circuit is usually to oscillate with minimal damping, so the resistance is made as low as possible. While no practical circuit is without losses, it is nonetheless instructive to study this ideal form of the circuit to gain understanding and physical intuition. For a circuit model incorporating resistance, see RLC circuit.
A fixed inductance 0.66 \mu H is used in series with a variable capacitor in the tuning section of a radio. What capacitance tunes the circuit into the signal from a station broadcasting at 8.11 MHz? Answer in units of pF.
I used the equation \omega = 1/ \sqrt LC
Solving for C gave me...
I'm not too confident in my work for this problem, so I was wondering if someone could check it over for me.
Consider a circuit with 4 elements, C1=100micro farads, C2=50micro farads, L1=20mH, and L2=10mH. At t=0, the capacitors are charged with Q=0.01 Coulomb. There is initially no current...
A square wave pulse (generated using an oscilloscope) is used to induce damped oscillations in a circuit that consits of an inductance L and a capacitance C connected in series. A resistance is present even though no resistor is present in the circuit.
a) Find the differential equation for...
Consider a resonant LC circuit. It consists of a capacitor of capacitance 100pf and an inductance of 0.1mH. suppose that when the circuit oscillates the max. voltage on the capacitor is 1mV. Energy stored in the capacitor is given as 0.5CV^2.
a) Show that in this circuit one can obtain a...
An oscillating LC circuit consisting of a 7.5 nF capacitor and a 4.4 mH coil has a maximum voltage of 2.0 V. What is the maximum current through the circuit?
I got 1.5x10^-8 C for the max. charge.