A charge $q$ $coulomb$ moves in a circle at $n$ revolutions per second and the radius of the circle is $r$ $metre$. Then magnetic field at the centre of the circle is
Medium
Download our app for free and get startedPlay store
(c) The magnetic field at the centre of the circle $ = \frac{{{\mu _o}}}{{4\pi }} \times \frac{{2\pi i}}{r} = {10^{ - 7}} \times \frac{{2\pi (nq)}}{r} = \frac{{2\pi nq}}{r} \times {10^{ - 7}}\,N/A{\rm{ - }}m$
art

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.*

Similar Questions

  • 1
    A galvanometer has a resistance of $25\, ohm$ and a maximum of $0.01\, A$ current can be passed through it. In order to change it into an ammeter of range $10\, A$, the shunt resistance required is
    View Solution
  • 2
    A current $I$ flows along the length of an infinitely long, straight and thin-walled pipe. Then
    View Solution
  • 3
    A proton is projected with velocity $\overrightarrow{ V }=2 \hat{ i }$ in a region where magnetic field $\overrightarrow{ B }=(\hat{i}+3 \hat{j}+4 \hat{k})\; \mu T$ and electric field $\overrightarrow{ E }=10 \hat{ i } \;\mu V / m .$ Then find out the net acceleration of proton (in $m / s ^{2}$)
    View Solution
  • 4
    Which of the following statement is true
    View Solution
  • 5
    The figure shows the cross section of a long cylindrical conductor through which an axial hole of radius $r$ is drilled with its centre at point $A$ . $O$ is the centre of the conductor. If an identical hole were to be drilled centred at point $B$ while maintaining the same current density the magnitude of magnetic field at $O$ 
    View Solution
  • 6
    A winding wire which is used to frame a solenoid can bear a maximum $10\, A$ current. If length of solenoid is $80\,cm$ and it's cross sectional radius is $3\, cm$ then required length of winding wire is $(B = 0.2\,T)$
    View Solution
  • 7
    Four wires each of length $2.0\, metres$ are bent into four loops $P$, $Q$, $R$ and $S$ and then suspended into uniform magnetic field. Same current is passed in each loop. Which statement is correct
    View Solution
  • 8
    The circular coil of a galvanometer has fifty turns. The coil has a radius of $1\ cm$. The coil is placed in a radial magnetic field of $0. 010\ T$. The torsion coefficent of the spring on which the coil hangs is $3 \times 10^{-7}\ N-m-rad^{-1}$. Determine the deviation of the galvanometer's hand if the current through the coil is $1.0\ mA$......$^o$
    View Solution
  • 9
    When equal current is passed through two coils, equal magnetic field is produced at their centres. If the ratio of number of turns in the coils is $8: 15$, then the ratio of their radii will be
    View Solution
  • 10
    A steady current $I$ goes through a wire loop $\mathrm{PQR}$ having shape of a right angle triangle with $\mathrm{PQ}=3 x, \mathrm{PR}=4 x$ and $\mathrm{QR}=5 x$. If the magnitude of the magnetic field at $\mathrm{P}$ due to this loop is $k\left(\frac{\mu_0 I}{48 \pi x}\right)$, find the value of $k$.
    View Solution