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

Q: 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

c (c) Electric current corresponds to the revolution of electron is $i = \frac{{ev}}{{2\pi r}}$ Magnetic field due to circular current at the centre $B = \frac{{{\mu _0}}}{{4\pi }}.\frac{{2\pi \,i}}{r} = \frac{{{\mu _0}}}{{4\pi }}.\frac{{ev}}{{{r^2}}}$==> $r = \sqrt {\frac{{{\mu _0}}}{{4\pi }}.\frac{{ev}}{B}} $==> $r \propto \sqrt {\frac{v}{B}} $.

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

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$\frac{B}{v}$
B$\frac{v}{R}$
C$\sqrt {\frac{v}{B}} $
D$\sqrt {\frac{B}{v}} $

AIPMT 2005, Medium

STD 11 Science
NEET
STD 12 - 4. Moving charges and magnetism
Physics

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Download App

Similar Questions

1
A moving coil galvanometer has resistance $50\,\Omega $ and it indicates full deflection at $4\,mA$ current. A voltmeter is made using this galvanometer and a $5\,k\Omega $ resistance. The maximum voltage, that can be measured using this voltamenter, will be close to ......$V$
View Solution
2
An electron is moving in the north direction. It experiences a force in vertically upward direction. The magnetic field at the position of the electron is in the direction of
View Solution
3
If $ m$ is magnetic moment and $B$ is the magnetic field, then the torque is given by
View Solution
4
A portion of a conductive wire is bent in the form of a semicircle of radius $r$ as shown below in fig. At the centre of semicircle, the magnetic induction will be
View Solution
5
A positively charged particle enters in a region of uniform. Transverse magnetic field as shown in figure find net deviation in path of the particle.
View Solution
6
A long straight wire carries a current of $35\, A$. What is the magnitude of the field $B$ at a point $20\, cm$ from the wire ?
View Solution
7
Two long parallel wires carrying equal current separated by $1\,m$, exert a force of $2 \times {10^{ - 7}}\,N/m$ on one another. The current flowing through them is
View Solution
8
Two straight horizontal parallel wires are carrying the same current in the same direction, $d$ is the distance between the wires. You are provided with a small freely suspended magnetic needle. At which of the following positions will the orientation of the needle be independent of the magnitude of the current in the wires
View Solution
9
The magnetic force between wires as shown in figure is :-
View Solution
10
A charge $+ Q$ is moving upwards vertically. It enters a magnetic field directed to the north. The force on the charge will be towards
View Solution

Download our appand get started for free

Similar Questions

Download our app
and get started for free