(A) The current $i$ produced by a revolving charge is given by $i = qf$,where $q$ is the charge and $f$ is the frequency.For an electron,$q = e$ and $

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(A) The current $i$ produced by a revolving charge is given by $i = qf$,where $q$ is the charge and $f$ is the frequency.For an electron,$q = e$ and $f = n$,so $i = en$.The magnetic field $B$ at the center of a circular current loop of radius $R$ is given by $B = \frac{\mu_0 i}{2 R}$.Substituting the value of $i$,we get $B = \frac{\mu_0 (en)}{2 R}$.

Class 12 Physics Moving Charges and Magnetism Biot-Savart's Law and its application

Easy

If an electron revolves around a nucleus in a circular orbit of radius $R$ with frequency $n$,then the magnetic field produced at the centre of the nucleus will be

A
$\frac{\mu_0 e n}{2 R}$
B
$\frac{\mu_0 e n}{4 \pi R}$
C
$\frac{4 \pi \mu_0 e n}{R}$
D
$\frac{4 \pi \mu_0 e}{R n}$

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Class 12 Questions

Class 12

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Moving Charges and Magnetism

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Biot-Savart's Law and its application

Two concentric coils of $10$ turns each are placed in the same plane. Their radii are $20 \ cm$ and $40 \ cm$ and carry $0.2 \ A$ and $0.3 \ A$ current respectively in opposite directions. The magnetic induction (in $T$) at the centre is

DifficultTS EAMCET 2008

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Do magnetic forces obey Newton's third law? Verify for two current elements $\overrightarrow{dl_1} = dl(\hat{i})$ located at the origin and $\overrightarrow{dl_2} = dl(\hat{j})$ located at $(0, R, 0)$. Both carry current $I$.

Medium

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$A$ horizontal overhead power line is at a height of $4\, m$ from the ground and carries a current of $100\, A$ from west to east. The magnetic field directly below it on the ground is $(\mu_0 = 4\pi \times 10^{-7}\, T\, m A^{-1})$.

Difficult

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What is the magnetic field at a distance $R$ from a coil of radius $r$ carrying current $I$ along its axis?

MediumAIIMS 2007

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$A$ current $i$ is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure. The magnetic field at the centre $M$ of the loop is $\frac{\mu_{0} i}{R}$ times
$(MA=R, MB=2 R, \angle DMA=90^{\circ})$

DifficultKCET 2010

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If an electron revolves around a nucleus in a circular orbit of radius $R$ with frequency $n$,then the magnetic field produced at the centre of the nucleus will be

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Two concentric coils of $10$ turns each are placed in the same plane. Their radii are $20 \ cm$ and $40 \ cm$ and carry $0.2 \ A$ and $0.3 \ A$ current respectively in opposite directions. The magnetic induction (in $T$) at the centre is

Do magnetic forces obey Newton's third law? Verify for two current elements $\overrightarrow{dl_1} = dl(\hat{i})$ located at the origin and $\overrightarrow{dl_2} = dl(\hat{j})$ located at $(0, R, 0)$. Both carry current $I$.

$A$ horizontal overhead power line is at a height of $4\, m$ from the ground and carries a current of $100\, A$ from west to east. The magnetic field directly below it on the ground is $(\mu_0 = 4\pi \times 10^{-7}\, T\, m A^{-1})$.

What is the magnetic field at a distance $R$ from a coil of radius $r$ carrying current $I$ along its axis?

$A$ current $i$ is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure. The magnetic field at the centre $M$ of the loop is $\frac{\mu_{0} i}{R}$ times$(MA=R, MB=2 R, \angle DMA=90^{\circ})$

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$A$ current $i$ is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure. The magnetic field at the centre $M$ of the loop is $\frac{\mu_{0} i}{R}$ times
$(MA=R, MB=2 R, \angle DMA=90^{\circ})$