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Related Concept Videos

Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

789
Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:
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Series Resonance01:17

Series Resonance

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The RLC circuit impedance is defined as the ratio of the supply voltage to the circuit current. Resonance in such a circuit occurs when the imaginary part of this impedance equals zero. This specific condition means that the inductive reactance is exactly equal to the capacitive reactance. The frequency at which this happens is known as the resonant frequency. Mathematically, the resonant frequency is inversely proportional to the square root of the product of the inductance (L) and capacitance...
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Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

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Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...
769
Parallel Resonance01:23

Parallel Resonance

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The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
732
RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

2.6K
An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
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Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

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An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
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Tweezers controlled resonator.

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    Researchers trapped a microdroplet using optical tweezers, transforming it into a microresonator. This optical microresonator achieved a high quality-factor of 12 million for advanced photonic applications.

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    Area of Science:

    • Optics and Photonics
    • Microfluidics
    • Cavity Quantum Electrodynamics

    Background:

    • Optical tweezers are crucial for manipulating microscale objects.
    • Microresonators are essential components in photonics for light manipulation and storage.
    • Coupling microresonators to optical fibers enables efficient light delivery and signal processing.

    Purpose of the Study:

    • To demonstrate the trapping of a microdroplet using optical tweezers.
    • To activate the trapped microdroplet as a microresonator.
    • To tune the coupling regime and characterize the performance of the microresonator.

    Main Methods:

    • Experimental setup utilizing optical tweezers to trap a microdroplet.
    • Integration of a tapered-fiber coupler for evanescently coupling light to the microdroplet.
    • Tuning of the fiber-microdroplet coupling via precise positional control of the optical tweezers.

    Main Results:

    • Successful trapping and manipulation of an 80 μm scale microdroplet.
    • Activation of the microdroplet as a high-finesse optical microresonator.
    • Achieved a high quality-factor (Q) of 12 million.
    • Demonstrated tunable coupling from the under-coupled to the critically-coupled regime.

    Conclusions:

    • Optical tweezers provide a versatile platform for creating and controlling micro-optical resonators.
    • The demonstrated microdroplet microresonator exhibits excellent optical properties suitable for various photonic applications.
    • This technique offers a novel approach for fabricating and integrating micro-optical devices.