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Capacitors

Capacitors

Capacitors play a crucial role in car radios, where they filter and store frequencies to ensure clear signal reception. Essentially serving as energy storage devices, capacitors store energy within their electric field and are composed of two parallel conducting plates separated by a dielectric.
When a voltage source is connected to a capacitor, positive and negative charges accumulate on the opposite plates. This accumulation generates a potential difference that equals the product of the...

RC Circuits: Charging A Capacitor

RC Circuits: Charging A Capacitor

A circuit containing resistance and capacitance is called an RC circuit. A capacitor is an electrical component that stores electric charge by storing energy in an electric field. Consider a simple RC circuit having a DC (direct current) voltage source ε, a resistor R, a capacitor C, and a two-way position switch. In the circuit, the capacitor can be charged or discharged depending on the position of the switch.
When the switch is moved to connect the battery, the circuit reduces to a simple...

Spherical and Cylindrical Capacitor

Spherical and Cylindrical Capacitor

A spherical capacitor consists of two concentric conducting spherical shells of radii R1 (inner shell) and R2 (outer shell). The shells have equal and opposite charges of +Q and −Q, respectively. For an isolated conducting spherical capacitor, the radius of the outer shell can be considered to be infinite.
Conventionally, considering the symmetry, the electric field between the concentric shells of a spherical capacitor is directed radially outward. The magnitude of the field,...

Series and Parallel Capacitors

Series and Parallel Capacitors

Capacitors, fundamental components in electronic circuits, can be connected in series and/or parallel configurations. Each configuration has different impacts on the overall behavior of the circuit.
First, consider capacitors connected in series to a battery. In this configuration, the plate connected to the battery's positive terminal develops a positive charge, while the plate attached to the negative terminal becomes negatively charged. An equal magnitude of charge is induced on the...

Design Example: Capacitance Multiplier Circuit

Design Example: Capacitance Multiplier Circuit

In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.

RC Circuits: Discharging A Capacitor

RC Circuits: Discharging A Capacitor

One of the applications of an RC circuit is the relaxation oscillator. The relaxation oscillator comprises a voltage source, a capacitor, a resistor, and a neon lamp. The lamp acts like an open circuit (infinite resistance) until the potential difference across the neon lamp reaches a specific voltage. At that voltage, the lamp acts like a short circuit (zero resistance), and the capacitor discharges through the neon lamp and produces light. Once the capacitor is fully discharged through the...

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Related Experiment Video

Updated: Oct 10, 2025

Magnetically-Assisted Remote Controlled Microcatheter Tip Deflection under Magnetic Resonance Imaging

Magnetically-Assisted Remote Controlled Microcatheter Tip Deflection under Magnetic Resonance Imaging

Published on: April 4, 2013

Distributed Capacitors for MR-Receive-Coils: Theory and Method.

Enrico Pannicke, Oliver Speck, Ralf Vick

Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference

|December 11, 2021

Summary

Researchers developed a systematic framework to determine optimal distributed capacitor values for MRI coils. This improves signal-to-noise ratio (SNR) and image quality in magnetic resonance imaging (MRI).

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Last Updated: Oct 10, 2025

Magnetically-Assisted Remote Controlled Microcatheter Tip Deflection under Magnetic Resonance Imaging

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Published on: April 4, 2013

MRM Microcoil Performance Calibration and Usage Demonstrated on Medicago truncatula Roots at 22 T

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Published on: January 16, 2021

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Published on: May 15, 2021

Area of Science:

Electrical Engineering
Medical Imaging Physics

Background:

Magnetic Resonance Imaging (MRI) coils are critical for signal reception, influencing signal-to-noise ratio (SNR) and illumination quality.
Reduced SNR and illumination occur when conductor circumference approaches the signal's wavelength.
Distributed capacitors on conductor loops are a known countermeasure, but a systematic method for value determination is lacking.

Purpose of the Study:

To establish a systematic framework for analyzing distributed capacitors on MRI coil conductor loops.
To provide a method for accurately determining optimal capacitor values to enhance MRI performance.

Main Methods:

Utilized a four-pole representation of circular conductor loops for analysis.
Performed eigen-mode analysis to derive capacitor values.
Developed and validated an experimental method based on theoretical results.

Main Results:

A systematic framework for analyzing distributed capacitors on conductor loops was successfully established.
Eigen-mode analysis provided a method to determine correct capacitor values.
An experimental method for determining capacitor values was derived and validated.

Conclusions:

The study presents a novel, systematic framework for optimizing distributed capacitors in MRI coils.
The derived experimental method offers an easy-to-use approach for determining correct capacitor values.
This work enhances MRI coil design, leading to improved SNR and image quality.