Download App
Two identical coils of radius $R$ and number of turns $N$ are placed perpendicular to each others in such a way that they have common centre. The current through them are $I$ and $I\sqrt 3$ . The resultant intensity of magnetic field at the centre of the coil will be  (in $weber/m^2)2$
  • A$\frac{{{\mu _0}NI}}{{2R}}$
  • B$\sqrt 5 \frac{{{\mu _0}NI}}{{2R}}$
  • C$\sqrt 3 \frac{{{\mu _0}NI}}{{2R}}$
  • D$\frac{{{\mu _0}NI}}{R}$
Medium
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.*
Download App

Similar Questions

  • 1
    An electron with energy $0.1\,ke\,V$ moves at right angle to the earth's magnetic field of $1 \times 10^{-4}\,Wbm ^{-2}$. The frequency of revolution of the electron will be. (Take mass of electron $=9.0 \times 10^{-31}\,kg$ )
    View Solution
  • 2
    A current carrying long solenoid is placed on the ground with its axis vertical. A proton is falling along the axis of the solenoid with a velocity $v$. When the proton enters into the solenoid, it will
    View Solution
  • 3
    Identical currents flow in two perpendicular wires, as shown in the figure. The wires are very close but do not touch. The magnetic field can be zero:
    View Solution
  • 4
    A cylindrical conductor of radius $R$ is carrying a constant current. The plot of the magnitude of the magnetic field, $B$ with the distance $d$, from the centre of the conductor, is correctly represented by the figure$.....$
    View Solution
  • 5
    A galvanometer $G$ deflects full scale when a potential difference of $0.50 $ $V$ is applied. The internal resistance of the galvanometer $r_g$ is $25$ $ohms$. An ammeter is constructed by incorporating the galvanometer and an additional resistance $R_S$. The ammeter deflects full scale when a measurement of $2.0$ $A$ is made. The resistance $R_S$ is closest to : ................. $\Omega$
    View Solution
  • 6
    A uniform magnetic field acts at right angles to the direction of motion of electrons. As a result, the electron moves in a circular path of radius $2\, cm$. If the speed of the electrons is doubled, then the radius of the circular path will be.....$cm$
    View Solution
  • 7
    In a circuit for finding the resistance of a galvanometer by half deflection method, a  $6\,V$  battery and a high resistance of  $11\,k\Omega $  are used. The figure of merit of the galvanometer $60\,\mu A/$  division. In the absence of shunt resistance, the galvanometer produces a deflection of  $\theta = 9$  divisions when current flows in the circuit. The value of the shunt resistance that can cause the deflection of $\theta /2 ,$  is closest to ..................  $\Omega$
    View Solution
  • 8
    The resistance of a galvanometer is $50\, ohm$ and the maximum current which can be passed through it is $0.002\, A$. What resistance must be connected to it in order to convert it into an ammeter of range $0 -0.5\, A$ ?....$ohm$
    View Solution
  • 9
    A closely wound solenoid of $2000$ $turns$ and area of cross-section  $1.5 \times 10^{-4}\ m^2$ carries a current of $2.0\, A.$ It is suspended through its centre and perpendicular to its length, allowing it to turn in a horizontal plane in a uniform magnetic field $5 \times 10^{- 2}$ $tesla$ making an angle of $30^o $ with the axis of the solenoid. The torque on the solenoid will be 
    View Solution
  • 10
    A current $i$ $ampere$ flows along an infinitely long straight thin walled tube, then the magnetic induction at any point inside the tube is
    View Solution