The figure shows a conducting loop $ABCDA$ placed in a uniform magnetic field perpendicular to its plane. The part $ABC$ is the $(3/4)^{th}$ portion of the square of side length $l$ . The part $ADC$ is a circular arc of radius $R$ . The points $A$ and $C$ are connected to a battery which supply a current $I$ to the circuit. The magnetic force on the loop due to the field $B$ is
  • A
    Zero
  • B$BI l$
  • C$2BIR$
  • D$\frac{{BI/R}}{{l + R}}$
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.*

Similar Questions

  • 1
    A small coil of $N$ $turns$ has an effective area $A$ and carries a current $I$. It is suspended in a horizontal magnetic field $\overrightarrow B $ such that its plane is perpendicular to $\overrightarrow B $. The work done in rotating it by $180^\circ $ about the vertical axis is
    View Solution
  • 2
    An ammeter gives full deflection when a current of $2\, amp$. flows through it. The resistance of ammeter is $12 \,\Omega$. If the same ammeter is to be used for measuring a maximum current of $5\, amp$., then the ammeter must be connected with a resistance of
    View Solution
  • 3
    One Tesla is equal to
    View Solution
  • 4
    Which one of the following modifications may ncrease the sensitivity of moving coil galvanometer?

    $1^{st}$ Way : By using spring of smaller torsion constant.
    $2^{nd}$ Way : By using a smaller coil
    $3^{rd}$ Way : By using a stronger magnet
    $4^{th}$ Way : By using a coil having fewer number of turns.

    View Solution
  • 5
    A proton with a kinetic energy of $2.0\,eV$ moves into a region of uniform magnetic field of magnitude $\frac{\pi}{2} \times 10^{-3}\,T$. The angle between the direction of magnetic field and velocity of proton is $60^{\circ}$. The pitch of the helical path taken by the proton is $..........cm$ (Take, mass of proton $=1.6 \times 10^{-27}\,kg$ and Charge on proton $=1.6 \times 10^{-19}\,kg)$
    View Solution
  • 6
    A coil having $N$ $turns$ is wound tightly in the form of a spiral with inner and outer radii $a$ and $b$ respectively. When a current $I$ passes through the coil, the magnetic field at the centre is
    View Solution
  • 7
    Two moving coil meters $M_1$ and $M_2$ having the following particulars :-
    $R_1 = 10\,\Omega , N_1 = 30, A_1 = 3.6\times10^{-3}\, m^2, B_1 = 0.25\, T$
    $R_2 = 14\,\Omega , N_2 = 42, A_2 = 1.8\times10^{-3}\, m^2, B_2 = 0.50\, T$
    (The spring constants are identical for the two meters). Determine the ratio of voltage sensitivity of $M_2$ and $M_1$
    View Solution
  • 8
    Given below are two statements:

    Statement $(I)$: When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side.

    Statement $(II)$: Concave lens always forms a virtual and erect image.

    In the light of the above statements, choose the correct answer from the options given below:

    View Solution
  • 9
    A battery is connected between two points $A$ and $B$ on the circumference of a uniform conducting ring of radius $r$ and resistance $R$. One of the arcs $AB$ of the ring subtends an angle $\theta $ at the centre. The value of the magnetic induction at the centre due to the current in the ring is
    View Solution
  • 10
    A uniform magnetic field $\vec B\,\, = \,\,{B_0}\,\hat j$ exists in a space. A particle of mass $m$ and charge $q$ is projected towards negative $x$-axis with speed $v$ from the a point $(d, 0, 0)$. The maximum value $v$ for which the particle does not hit $y-z$ plane is
    View Solution