The current sensitivity of a moving coil galvanometer increases by $20 \%$ when its resistance is doubled. Calculate, by what factor does the voltage sensitivity change?
Medium
Download our app for free and get startedPlay store
(a)

$S_{i_1}=\frac{N i A B}{k i}=\frac{N A B}{k}$

$S_{i_2}=\frac{1.2 N A B}{k}$

$S_{v_1}=\frac{N A B}{k R}=\frac{S_{i_1}}{R}$

$S_{v_2}=\frac{S_{i_2}}{2 R}=\frac{1.2(N A B)}{k(2 R)}$

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
    At a specific instant emission of radioactive compound is deflected in a magnetic field. The compound can emit

    $(i)$ Electrons              $(ii)$ Protons                 $(iii)$ $H{e^{2 + }}$                  $(iv)$ Neutrons

    The emission at the instant can be

    View Solution
  • 2
    A galvanometer having a coil resistance $100 \;\Omega$ gives a full scale deflection when a current of $1 \;\mathrm{mA}$ is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of $10\; \mathrm{V} ?$......$k\Omega$
    View Solution
  • 3
    A galvanometer of resistance $50\, \Omega$ is connected to a battery of $3\, V$ along with a resistance of $2950\, \Omega$ in series. A full scale deflection of $30$ divisions is obtained in the galvanometer. In order to reduce this deflection to $20$ divisions, the resistance in series should be.......$Ω$
    View Solution
  • 4
    A regular polygon of $6$ sides is formed by bending

    a wire of length $4 \pi$ meter. If an electric current of $4 \pi \sqrt{3} \mathrm{~A}$ is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be $x \times 10^{7} \mathrm{~T}$. The value of $\mathrm{x}$ is______.

    View Solution
  • 5
    A mass spectrometer is a device which select particle of equal mass. An iron with electric charge $q > 0$ and mass $m$ starts at rest from a source $S$ and is accelerated through a potential difference $V$. It passes $\rho$ through a hole into a region of constant magnetic field $\vec B\,$ perpendicular to the plane of the paper as shown in the figure. The particle is deflected by the magnetic field and emerges through the bottom hole at a distance $d$ from the top hole. The mass of the particle is 
    View Solution
  • 6
    When a $12\,\Omega $ resistor is connected with a moving coil galvanometer then its deflection reduces from $50$ divisions to $10$ divisions. The resistance of the galvanometer is ............. $\Omega $
    View Solution
  • 7
    Magnetic field due to semi infinite length wire at point $P$ 
    View Solution
  • 8
    A straight wire carrying a current of $14\,A$ is bent into a semicircular are of radius $2.2\,cm$ as shown in the figure. The magnetic field produced by the current at the centre $(O)$ of the arc. is $.........\,\times 10^{-4}\, T$
    View Solution
  • 9
    A particle of mass $m$ and charge $q$ moving with velocity $v$ enters a region of uniform magnetic field $B.$ Then
    View Solution
  • 10
    A particle having charge of $1 \,\,C$, mass $1 \,\,kg$ and speed $1 \,\,m/s$ enters a uniform magnetic field, having magnetic induction of $1$ $T,$ at an angle $\theta = 30^o$ between velocity vector and magnetic induction. The pitch of its helical path is (in meters) 
    View Solution