Snazer said:An AC generator with an rms voltage of 25 V is connected in series with a 10 ohms resistor a 53 mH inductor, and a 65 micro F capacitor.
Find a) the resonance frequency of the circuit,
b) the impedance at resonance,
c) the rms current at the resonance.
Induction is the process of creating a current in a conductor by varying the magnetic field around it. This is achieved by either moving the conductor through a stationary magnetic field or by changing the magnetic field around the conductor. According to Faraday's law, this change in magnetic field induces an electric current in the conductor.
Direct current flows in one direction only, while alternating current periodically changes direction. In DC, the voltage remains constant, whereas in AC, the voltage alternates between positive and negative values. Most household appliances use AC, while batteries and electronic devices use DC.
AC is produced through a process called electromagnetic induction. This involves using a device called an alternator, which consists of a rotating magnet and a stationary conductor. As the magnet rotates, it creates a changing magnetic field which induces an AC current in the conductor.
The frequency of AC is the number of complete cycles per second, measured in Hertz (Hz). In most countries, the standard frequency for AC is 50 or 60 Hz. The frequency is important because it determines the rate at which the current alternates, which affects the performance of electrical devices and the efficiency of power transmission.
AC has several advantages over DC, including the ability to easily change voltage levels through the use of transformers, the ability to transmit power over long distances with less energy loss, and the ability to power multiple devices simultaneously. Additionally, AC is easier and more efficient to generate using power plants, making it the preferred choice for most power systems.