An electron of charge $e$ and mass $m$ is moving in a circular loop of radius $r$ with a uniform angular speed $ω$ . Then which of the following statements are correct?

Name: An electron of charge e and mass m is moving in a circular loop of radius r with a uniform angular speed ω . Then which of the following statements are correct?
Uploaded: 2020-01-06
Description: Click here👆to get an answer to your question ✍️ An electron of charge e and mass m is moving in a circular loop of radius r with a uniform angular speed ω . Then which of the following statements are correct?

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Answer 1

Magnetic moment $m = I A$
$= \frac{e v}{2 π r} \times π r^{2} = \frac{e v r}{2}$
Angular momentum $= 2 m \frac{d A}{d t}$

Answer 2

Magnetic moment

m = I A

= \frac{e v}{2 π r} \times π r^{2} = \frac{e v r}{2}

Angular momentum

= 2 m \frac{d A}{d t}

An electron of charge $e$ and mass $m$ is moving in a circular loop of radius $r$ with a uniform angular speed $ω$ . Then which of the following statements are correct?

The equivalent current flowing in the circular path is proportional to $r^{2}$

The magnetic moment due to circular current loop is independent of $m$

The magnetic moment due to circular loop is equal to $2 e / m$ times the angular momentum of the electron

The angular momentum of the particle is proportional to the areal velocity of electron

Magnetic moment $m = I A$
$= \frac{e v}{2 π r} \times π r^{2} = \frac{e v r}{2}$
Angular momentum $= 2 m \frac{d A}{d t}$

A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associated magnetic moment $μ$ is given by

A particle with charge $q$ is moving along a circle of radius $R$ with uniform speed $V$ . The associated magnetic moment is given by:

A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associated magnetic moment $μ$ is given by

Consider a solid sphere of radius $R$ and mass $m$ having charge $Q$ distributed uniformly over its volume. The sphere is rotated about a diameter with the angular speed $ω$ . The magnetic moment M and the angular momentum $L$ of sphere are related as $M = \frac{x Q}{2 m} L$ . Find $x$

The ratio of magnetic dipole moment of an electron of charge $e$ and mass $m$ in Bohr's orbit in hydrogen atom to its angular momentum is

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Dipole in Uniform Magnetic Field

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An electron of charge e and mass m is moving in a circular loop of radius r with a uniform angular speed ω. Then which of the following statements are correct?

The equivalent current flowing in the circular path is proportional to r2

The magnetic moment due to circular current loop is independent of m

The magnetic moment due to circular loop is equal to 2e/m times the angular momentum of the electron

The angular momentum of the particle is proportional to the areal velocity of electron

Magnetic moment m=IA =2πrev​×πr2=2evr​ Angular momentum =2mdtdA​

A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associated magnetic moment μ is given by

A particle with charge q is moving along a circle of radius R with uniform speed V. The associated magnetic moment is given by:

A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associated magnetic moment μ is given by

Consider a solid sphere of radius R and mass m having charge Q distributed uniformly over its volume. The sphere is rotated about a diameter with the angular speed ω. The magnetic moment M and the angular momentum L of sphere are related as M=2mxQ​L. Find x

The ratio of magnetic dipole moment of an electron of charge e and mass m in Bohr's orbit in hydrogen atom to its angular momentum is

Revise with Concepts

Dipole in Uniform Magnetic Field

Solve Question on Magnetic Dipoles

An electron of charge $e$ and mass $m$ is moving in a circular loop of radius $r$ with a uniform angular speed $ω$ . Then which of the following statements are correct?

The equivalent current flowing in the circular path is proportional to $r^{2}$

The magnetic moment due to circular current loop is independent of $m$

The magnetic moment due to circular loop is equal to $2 e / m$ times the angular momentum of the electron

Magnetic moment $m = I A$
$= \frac{e v}{2 π r} \times π r^{2} = \frac{e v r}{2}$
Angular momentum $= 2 m \frac{d A}{d t}$

A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associated magnetic moment $μ$ is given by

A particle with charge $q$ is moving along a circle of radius $R$ with uniform speed $V$ . The associated magnetic moment is given by:

A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associated magnetic moment $μ$ is given by

Consider a solid sphere of radius $R$ and mass $m$ having charge $Q$ distributed uniformly over its volume. The sphere is rotated about a diameter with the angular speed $ω$ . The magnetic moment M and the angular momentum $L$ of sphere are related as $M = \frac{x Q}{2 m} L$ . Find $x$

The ratio of magnetic dipole moment of an electron of charge $e$ and mass $m$ in Bohr's orbit in hydrogen atom to its angular momentum is