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Magnetic Field of a Solenoid

Magnetic Field of a Solenoid

A solenoid is a conducting wire coated with an insulating material, wound tightly in the form of a helical coil. The magnetic field due to a solenoid is the vector sum of the magnetic fields due to its individual turns. Therefore, for an ideal solenoid, the magnetic field within the solenoid is directly proportional to the number of turns per unit length and the current. Conversely, the magnetic field outside the solenoid is zero.
Consider a solenoid with 100 turns wrapped around a cylinder of...

Magnetic Field Due To A Thin Straight Wire

Magnetic Field Due To A Thin Straight Wire

Consider an infinitely long straight wire carrying a current I. The magnetic field at point P at a distance a from the origin can be calculated using the Biot-Savart law.

Magnetic Field Due to Two Straight Wires

Magnetic Field Due to Two Straight Wires

Consider two parallel straight wires carrying a current of 10 A and 20 A in the same direction and separated by a distance of 20 cm. Calculate the magnetic field at a point "P2", midway between the wires. Also, evaluate the magnetic field when the direction of the current is reversed in the second wire.

Solenoids

Solenoids

A solenoid is a conducting wire coated with an insulating material, wound tightly in the form of a helical coil. The magnetic field for a solenoid is the vector sum of the magnetic field due to its individual turns. For an ideal solenoid, the magnetic field inside is almost uniform and parallel to the solenoid axis, while the magnetic field outside the solenoid is nearly zero.
Each turn in a solenoid can be approximated as a circular current carrying coil that generates a dipole moment. The...

Diamagnetic Shielding of Nuclei: Local Diamagnetic Current

Diamagnetic Shielding of Nuclei: Local Diamagnetic Current

An applied magnetic field causes the electrons present in the molecule to circulate, setting up a local diamagnetic current within the molecule. The local diamagnetic current arising from circulating sigma-bonding electrons induces a magnetic field, Blocal that opposes the applied magnetic field, B0. The effective magnetic field experienced by these nuclei is given by the difference between the applied and local magnetic fields in a phenomenon called local diamagnetic shielding. Essentially,...

Magnetic Force On Current-Carrying Wires: Example

Magnetic Force On Current-Carrying Wires: Example

In a magnetic field, moving charges encounter a force. If a wire contains these moving charges, i.e., if the wire is carrying a current, then a force acts on the wire as well. Consider a pair of flexible leads holding a wire that is 40 cm long and 10 g in weight in a horizontal position. The wire is placed in a constant magnetic field of 0.40 T, as shown in Figure 1(a). Determine the magnitude and direction of the current flowing in the wire needed to remove the tension in the supporting leads.

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Related Experiment Video

Updated: Jun 15, 2026

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

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

Published on: January 16, 2021

New Solenoidal Microcoil NMR Probe Using Zero-Susceptibility Wire.

Ravi Kc¹, Ian D Henry, Gregory H J Park

¹Department of Chemistry, Purdue University, West Lafayette, IN 47907.

Concepts in Magnetic Resonance. Part B, Magnetic Resonance Engineering

|February 26, 2010

Summary

This study introduces a novel 20-microliter nuclear magnetic resonance (NMR) probe using zero-susceptibility wire. This advanced NMR probe demonstrates significantly enhanced sensitivity and resolution for small sample volumes.

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High-Sensitivity Nuclear Magnetic Resonance at Giga-Pascal Pressures: A New Tool for Probing Electronic and Chemical Properties of Condensed Matter under Extreme Conditions

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Published on: October 10, 2014

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Last Updated: Jun 15, 2026

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

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Published on: January 16, 2021

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

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Published on: April 4, 2013

High-Sensitivity Nuclear Magnetic Resonance at Giga-Pascal Pressures: A New Tool for Probing Electronic and Chemical Properties of Condensed Matter under Extreme Conditions

High-Sensitivity Nuclear Magnetic Resonance at Giga-Pascal Pressures: A New Tool for Probing Electronic and Chemical Properties of Condensed Matter under Extreme Conditions

Published on: October 10, 2014

Area of Science:

Magnetic Resonance Imaging and Spectroscopy
Biophysical Chemistry
Materials Science

Background:

High-resolution nuclear magnetic resonance (NMR) spectroscopy requires sensitive probes capable of analyzing small sample volumes.
Traditional NMR probes often face limitations in sensitivity and resolution when dealing with micro-liter sample sizes.
The development of specialized coils and probe designs is crucial for advancing NMR applications in various scientific fields.

Purpose of the Study:

To construct and evaluate a 20-microliter active volume NMR probe.
To assess the performance of a probe utilizing zero-susceptibility wire and a thin-wall bubble flow cell.
To compare the sensitivity and resolution of the novel probe against existing configurations.

Main Methods:

Fabrication of a 20-microL NMR probe incorporating zero-susceptibility wire for the detection transceiver coil.
Integration of a 3.5 mm outer diameter thin-wall bubble flow cell for sample containment.
Comparative analysis of probe performance (rf homogeneity, resolution, line shape, sensitivity) against standard 5 mm probes and other configurations.

Main Results:

The developed 20-microL probe exhibited favorable radiofrequency (rf) homogeneity, resolution, line shape, and sensitivity.
The (1)H mass sensitivity (S(m)) was found to be 3-4 times higher compared to a standard 5 mm NMR probe.
Demonstrated superior performance in terms of sensitivity and resolution for micro-volume analysis.

Conclusions:

Zero-susceptibility wire is a viable material for constructing high-performance micro-volume NMR probes.
The novel 20-microL probe design offers significant advantages in sensitivity and resolution for small sample analysis.
Potential for future improvements and broader applications of this technology in NMR spectroscopy.