A galvanometer of resistance $100 \Omega$ when connected in series with $400 \Omega$ measures a voltage of upto $10 \mathrm{~V}$. The value of resistance required to convert the galvanometer into ammeter to read upto $10 \mathrm{~A}$ is $\mathrm{x} \times 10^{-2} \Omega$. The value of $\mathrm{x}$ is :
JEE MAIN 2024, Diffcult
Download our app for free and get startedPlay store
$\mathrm{i}_{\mathrm{g}}=\frac{10}{400+100}=20 \times 10^{-3} \mathrm{~A}$

For ammeter

Let shunt resistance $=\mathrm{S}$

$i_g R=\left(i-i_g\right) S$

$20 \times 10^{-3} \times 100=10 S$

$S=20 \times 10^{-2} \Omega$

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
    $PQ$ and $RS$ are long parallel conductors separated by certain distance. $M$ is the mid-point between them (see the figure). The net magnetic field at $M$ is $B$ . Now, the current $2\,A$ is switched off. The field at $M$ now becomes
    View Solution
  • 2
    A coaxial cable having radii $a, b$ and $c$ carries equal and opposite currents of magnitude $i$ the inner and outer conductors. What is the magnitude of the magnetic induction at point $P$ outside of the cable at a distance $r$ from the axis?
    View Solution
  • 3
    If current flowing through shell of previous objective is equal to $i$, then energy density at a point distance $2R$ from axis of the shell varies according to the graph
    View Solution
  • 4
    If current flowing through shell of previous objective is equal to $i$, then energy density at a point distance $2R$ from axis of the shell varies according to the graph
    View Solution
  • 5
    A current loop $ABCD$ is held fixed on the plane of the paper as shown in the figure. The arcs $ BC$ (radius $= b$) and $DA $ (radius $= a$) of the loop are joined by two straight wires $AB $  and $CD$. A steady current $I$ is flowing in the loop. Angle made by $AB$ and $CD$ at the origin $O$ is $30^o $. Another straight thin wire with steady current $I_1$ flowing out of the plane of the paper is kept at the origin.

    The magnitude of the magnetic field $(B)$ due to the loop $ABCD$ at the origin $(O)$ is :

    View Solution
  • 6
    Three long, straight and parallel wires carrying currents are arranged as shown in figure. The force experienced by $10\, cm$ length of wire $Q$ is
    View Solution
  • 7
    A current carrying loop is placed in a uniform magnetic field in four different orientations, $I$, $II$, $III$ & $IV$ arrange them in the decreasing order of potential Energy
    View Solution
  • 8
    The dimension of the magnetic field intensity $B$ is
    View Solution
  • 9
    A long straight wire in the horizontal plane carries a current of $50\, A$ in north to south direction. Give the magnitude and direction of $B$ at a point $2.5\,m$ east of the wire
    View Solution
  • 10
    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