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 Iflows via the galvanometer, the current through the shunt resistance can be expressed by I= I – IGThe voltages across the galvanometer and shunt resistance are equivalent to one another due to the parallel nature of their connection.

Therefore, RG.I= (I – IG).Rs

Here,

  • R= 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 = I+ Is

(I − Ig)R= IgRg

By replacing the known values, we can get:

(10 − 0.010)Rs = 0.010 × 100

R= 0.1

Also Read: NCERT Solutions for Class 6 to 12


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CBSE CLASS XII Related Questions

  • 1.
    Four long straight thin wires are held vertically at the corners A, B, C and D of a square of side \( a \), kept on a table and carry equal current \( I \). The wire at A carries current in upward direction whereas the current in the remaining wires flows in downward direction. The net magnetic field at the centre of the square will have the magnitude:

      • \( \dfrac{\mu_0 I}{\pi a} \) and directed along OC
      • \( \dfrac{\mu_0 I}{\pi a \sqrt{2}} \) and directed along OD
      • \( \dfrac{\mu_0 I \sqrt{2}}{\pi a} \) and directed along OB
      • \( \dfrac{2\mu_0 I}{\pi a} \) and directed along OA

    • 2.
      Assertion : Photoelectric effect is a spontaneous phenomenon. Reason (R): According to the wave picture of radiation, an electron would take hours/days to absorb sufficient energy to overcome the work function and come out from a metal surface.

        • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
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        • Assertion (A) is true, but Reason (R) is false.
        • Both Assertion (A) and Reason (R) are false.

      • 3.
        Assertion : Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more. Reason (R): Induced emf produced is directly proportional to the magnetic flux.

          • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
          • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
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          • Both Assertion (A) and Reason (R) are false.

        • 4.
          The magnetic field in a plane electromagnetic wave travelling in glass (\( n = 1.5 \)) is given by \[ B_y = (2 \times 10^{-7} \text{ T}) \sin(\alpha x + 1.5 \times 10^{11} t) \] where \( x \) is in metres and \( t \) is in seconds. The value of \( \alpha \) is:

            • \( 0.5 \times 10^3 \, \text{m}^{-1} \)
            • \( 6.0 \times 10^2 \, \text{m}^{-1} \)
            • \( 7.5 \times 10^2 \, \text{m}^{-1} \)
            • \( 1.5 \times 10^3 \, \text{m}^{-1} \)

          • 5.
            The figure represents the variation of the electric potential \( V \) at a point in a region of space as a function of its position along the x-axis. A charged particle will experience the maximum force at:

              • P
              • Q
              • R
              • S

            • 6.
              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 \( \sqrt{2} \), and \( \sqrt{3} \).

                CBSE CLASS XII Previous Year Papers

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