A galvanometer having resistance 100 ohms shows full scale deflection with current 10 mA. Find value of shunt to convert it into an ammeter of 10 ampere range.

A galvanometer can be defined as a device used for the detection of small electric current or to measure its magnitude. In general, the current and its intensity is shown by the movement of a magnetic needle or a coil in a magnetic field. When current IG flows via the galvanometer, the current through the shunt resistance can be expressed by IS = I – IG. The voltages across the galvanometer and shunt resistance are equivalent to one another due to the parallel nature of their connection.

Therefore, RG.IG = (I – IG).Rs

Here,

  • RG = Resistance of galvanometer
  • G = Galvanometer coil
  • I = Total current via circuit
  • IG = Total current via galvanometer that corresponds to full-scale reading
  • Rs = Value of shunt resistance

Step-1: Solution

As per the given question, the following can be determined:

I = 10A
Ig = 10 mA = 0.010 A
Rg = 100 Ω

Thus, with the given condition, we can obtain:

I = Ig + Is

⇒ (I − Ig)Rs = IgRg

By replacing the known values, we can get:

(10 − 0.010)Rs = 0.010 × 100

⇒ Rs = 0.1

Also Read: NCERT Solutions for Class 6 to 12


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CBSE CLASS XII Related Questions

  • 1.

    (I) The real image of an object placed between $f$ and $2f$ from a convex lens can be seen on a screen placed at the image location. If the screen is removed, is the image still there? Explain.

    (II) Plane and convex mirrors produce virtual images of objects. Can they produce real images under some circumstances? Explain.


      • 2.

        A magnet held vertically, with its north pole down, is dropped along the axis of a closed solenoid placed vertically on a table. If the observer looks down from the top,

          • the induced current will flow in the anticlockwise direction.
          • the induced current will flow in the clockwise direction.
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          • the magnet will fall with a constant velocity.

        • 3.

          A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

            • 5 V
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          • 4.
            A wire of length \(L\) is bent round into (i) a square coil having \(N\) turns and (ii) a circular coil having \(N\) turns. The coil in both cases is free to turn about a vertical axis coinciding with the plane of the coil, in a uniform, horizontal magnetic field and carry the same currents. Find the ratio of the maximum value of the torque acting on the square coil to that on the circular coil.


              • 5.

                A ray of light MN is incident normally on the face corresponding with side AB of a prism with an isosceles right-angled triangular base ABC. Trace the path of the ray as it passes through the prism when the refractive index of the prism material is (i) $\sqrt{2}$, and (ii) $\sqrt{3}$.


                  • 6.

                    A parallel beam of monochromatic light falls normally on a single slit of width $a$ and a diffraction pattern is observed on a screen placed at distance $D$ from the slit. Explain:

                    (I) the formation of maxima and minima in the diffraction pattern, and

                    (II) why the maxima go on becoming weaker and weaker with its increasing number $n$.

                      CBSE CLASS XII Previous Year Papers

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