Derive an expression for the magnetic dipole moment of a revolving electron.

Name: Derive an expression for the magnetic dipole moment of a revolving electron.
Uploaded: 2020-01-06
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Answer 1

The current in a loop due to a revolving electron $= \frac{q}{T}$ $= \frac{q}{2 π r / v}$ $= \frac{q v}{2 π r}$

Hence, magnetic moment due to the revolving charge $= I A$ $= \frac{q v}{2 π r} π r^{2}$ $= \frac{q v r}{2}$

Answer 2

The current in a loop due to a revolving electron

= \frac{q}{T}

= \frac{q}{2 π r / v}

= \frac{q v}{2 π r}

Hence, magnetic moment due to the revolving charge

= I A

= \frac{q v}{2 π r} π r^{2}

= \frac{q v r}{2}

Derive an expression for the magnetic dipole moment of a revolving electron.

The current in a loop due to a revolving electron $= \frac{q}{T}$ $= \frac{q}{2 π r / v}$ $= \frac{q v}{2 π r}$

Hence, magnetic moment due to the revolving charge $= I A$ $= \frac{q v}{2 π r} π r^{2}$ $= \frac{q v r}{2}$

If an electron is revolving in a circular orbit of radius $0.5 A^{o}$ with a velocity of $2.2 \times 1 0^{6} m / s$ . The magnetic dipole moment of the revolving electron is (Charge on electron $e = 1.6 \times 1 0^{- 19}$ )

If an electron is revolving in a circular orbit of radius $0.5 A^{\circ}$ with a velocity of $2.2 \times 1 0^{6}$ m/s. The magnetic dipole moment of the revolving electron is

Write the expression for the equivalent magnetic moment of a planer current loop of area $A$ . having $N$ turns and carrying a current $i$ . Use the expression to find the magnetic dipole moment of a revolving electron.

Deduce the expression for the magnetic dipole moment of an electron orbiting around central nucleus .

Deduce an expression for magnetic dipole moment of an electron revolving around a nucleus in a circular orbit. Indicate the direction of magnetic dipole moment? Use the expression to derive the relation between the magnetic moment of an electron moving in a circle and its related angular momentum?

Revise with Concepts

Dipole in Uniform Magnetic Field

Solve Question on Magnetic Dipoles

Derive an expression for the magnetic dipole moment of a revolving electron.

The current in a loop due to a revolving electron =Tq​ =2πr/vq​ =2πrqv​ Hence, magnetic moment due to the revolving charge =IA =2πrqv​πr2 =2qvr​

If an electron is revolving in a circular orbit of radius 0.5 Ao with a velocity of 2.2×106 m/s. The magnetic dipole moment of the revolving electron is (Charge on electron e=1.6×10−19)

If an electron is revolving in a circular orbit of radius 0.5A∘ with a velocity of 2.2×106 m/s. The magnetic dipole moment of the revolving electron is

Write the expression for the equivalent magnetic moment of a planer current loop of area A. having N turns and carrying a current i. Use the expression to find the magnetic dipole moment of a revolving electron.

Deduce the expression for the magnetic dipole moment of an electron orbiting around central nucleus .

Deduce an expression for magnetic dipole moment of an electron revolving around a nucleus in a circular orbit. Indicate the direction of magnetic dipole moment? Use the expression to derive the relation between the magnetic moment of an electron moving in a circle and its related angular momentum?

Revise with Concepts

Dipole in Uniform Magnetic Field

Solve Question on Magnetic Dipoles

The current in a loop due to a revolving electron $= \frac{q}{T}$ $= \frac{q}{2 π r / v}$ $= \frac{q v}{2 π r}$

Hence, magnetic moment due to the revolving charge $= I A$ $= \frac{q v}{2 π r} π r^{2}$ $= \frac{q v r}{2}$

If an electron is revolving in a circular orbit of radius $0.5 A^{o}$ with a velocity of $2.2 \times 1 0^{6} m / s$ . The magnetic dipole moment of the revolving electron is (Charge on electron $e = 1.6 \times 1 0^{- 19}$ )

If an electron is revolving in a circular orbit of radius $0.5 A^{\circ}$ with a velocity of $2.2 \times 1 0^{6}$ m/s. The magnetic dipole moment of the revolving electron is

Write the expression for the equivalent magnetic moment of a planer current loop of area $A$ . having $N$ turns and carrying a current $i$ . Use the expression to find the magnetic dipole moment of a revolving electron.