Home
Class 12
PHYSICS
An electron moves in a circular orbit wi...

An electron moves in a circular orbit with a uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is proportional to

A

`B/v`

B

`v/R`

C

`sqrt(v/B)`

D

`sqrt(B/v)`

Text Solution

Verified by Experts

The correct Answer is:
C
Equivalent current due to motion of electron in a circular orbit of radius R is `I = (ev)/(2 pi R)` and magnetic field B at the centre of the circular orbit `B = (mu_0 I)/(2R) = (mu_0)/(2R) cdot (ev)/(2 pi R) = (mu_0 ev)/(4pi R^2)`
`:. R = sqrt((mu_0 ev)/(4 pi B)) " or " R prop sqrt((v)/(B))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOVING CHARGES AND MAGNETISM

    U-LIKE SERIES|Exercise FILL IN THE BLANKS|12 Videos

  • MOVING CHARGES AND MAGNETISM

    U-LIKE SERIES|Exercise TRUE OR FALSE|5 Videos

  • MOVING CHARGES AND MAGNETISM

    U-LIKE SERIES|Exercise CASE BASED/SOURCE-BASED INTEGRATED QUESTIONS|18 Videos

  • MODEL TEST PAPER 3 (UNSOLVED)

    U-LIKE SERIES|Exercise SECTION A|3 Videos

  • NUCLEI

    U-LIKE SERIES|Exercise Self Assessment Test|10 Videos

Similar Questions

Explore conceptually related problems

A 2 muC charge moving around a circle with a frequency of 6.25xx10^(12) Hz produces a magnetic field 6.28 tesla at the centre of the circle. The radius of the circle is

The magnetic field produced at the centre of circular coil is directly proportional to ______________.

Knowledge Check

  • An electron moving in a circular orbit of radius R with frequency f . The magnetic field at the centre of the orbit is

    A
    `(mu_0ef)/(2piR)`
    B
    `(mu_0ef)/(2R)`
    C
    `(muef^2)/(2R)`
    D
    zero

  • An electron revolves in a circular orbit of radius r with angular speed omega . The magnetic field at the centre of electron orbit is

    A
    `(mu_(0) e omega)/(pi r)`
    B
    `(mu_(0)e omega)/(4pir)`
    C
    `(mu_(0) e^(2) omega)/(4 pi r)`
    D
    `(mu_(0) e omega)/(2pi r )`

  • A 2 uC charge moving around a circle with a frequency of 6.25xx 10^(12) Hz produces a magnetic field 6.28 tesla at the centre of the circle. The radius of the circle is

    A
    2.25m
    B
    0.25m
    C
    13.0m
    D
    1.25m

    • Similar Questions

    Explore conceptually related problems

    The magnetic field produced at the centre of circular coil is directly proportional to ______________.

    In a homogeneous magnetic field B there is an electron moving in a circular orbit with a speed v. Find the ratio of the magnetic field generated by the moving electron at the middle of the circle and the magnetic field making it revolve.

    An electron moves in circular orbit of radius r with constant speed v.The force acting in it is

    A charge 'e' moves round a circle of radius 'r' with a uniform speed 'v' . The magnitude of the magnetic induction at the centre of the circle is

    An electron is moving on a circular path of radius r with speed v in a transverse magnetic field B. e/m for it will be

    Home
    Profile