If an inductor and a capacitor are connected in parallel with each other, and then briefly energized by connection to a DC voltage source, oscillations will develop as energy is exchanged from the capacitor to inductor and vice versa. These oscillations may be viewed with an oscilloscope connected in parallel with the inductor/capacitor circuit. Parallel inductor/capacitor circuits are commonly known as tank circuits. Figure 4 below shows a commonly used tank-circuit. Figure 4 A tank circuit's natural frequency, called the resonant frequency, is determined by the size of the inductor and the size of the capacitor, according to the following equation: 1 fresonant 2n √LC where fis the frequency, given in Hertz (Hz). Ideally, the oscillations produced by a tank circuit continue indefinitely. Realistically, oscillations will decay in amplitude over the course of several cycles due to the resistive and magnetic losses of the inductor. DATA & ANALYSIS: For a tank-circuit similar to that shown in Figure 4, the inductor has an inductance of 50 H and the capacitor has a capacitance of 75 µF. Compute the resonant frequency of the circuit.

If an inductor and a capacitor are connected in parallel with each other, and then briefly energized by connection to a DC voltage source, oscillations will develop as energy is exchanged from the capacitor to inductor and vice versa. These oscillations may be viewed with an oscilloscope connected in parallel with the inductor/capacitor circuit. Parallel inductor/capacitor circuits are commonly known as tank circuits. Figure 4 below shows a commonly used tank-circuit. Figure 4 A tank circuit's natural frequency, called the resonant frequency, is determined by the size of the inductor and the size of the capacitor, according to the following equation: 1 fresonant 2n √LC where fis the frequency, given in Hertz (Hz). Ideally, the oscillations produced by a tank circuit continue indefinitely. Realistically, oscillations will decay in amplitude over the course of several cycles due to the resistive and magnetic losses of the inductor. DATA & ANALYSIS: For a tank-circuit similar to that shown in Figure 4, the inductor has an inductance of 50 H and the capacitor has a capacitance of 75 µF. Compute the resonant frequency of the circuit.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 2CQ

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