Question:
We have a galvanometer of resistance \(25\Omega\). It is shunted by \(2.5\Omega\) wire. The part of the total current that flows through the galvanometer is given as
We have a galvanometer of resistance \(25\Omega\). It is shunted by \(2.5\Omega\) wire. The part of the total current that flows through the galvanometer is given as
Show Hint
Shunt resistance \(S = \frac{G}{n-1}\) where \(n = i_0/i\).
Updated On: Apr 20, 2026
- \(\frac{i}{i_0} = \frac{4}{11}\)
- \(\frac{i}{i_0} = \frac{3}{11}\)
- \(\frac{i}{i_0} = \frac{2}{10}\)
- \(\frac{i}{i_0} = \frac{1}{11}\)
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept:
In a parallel combination, voltage across galvanometer = voltage across shunt.
Step 2: Detailed Explanation:
\(iG = (i_0 - i)S\) \(\Rightarrow iG = i_0S - iS\) \(\Rightarrow i(G+S) = i_0S\)
\(\frac{i}{i_0} = \frac{S}{G+S} = \frac{2.5}{25+2.5} = \frac{2.5}{27.5} = \frac{1}{11}\).
Step 3: Final Answer:
\(\boxed{\frac{i}{i_0} = \frac{1}{11}}\)
In a parallel combination, voltage across galvanometer = voltage across shunt.
Step 2: Detailed Explanation:
\(iG = (i_0 - i)S\) \(\Rightarrow iG = i_0S - iS\) \(\Rightarrow i(G+S) = i_0S\)
\(\frac{i}{i_0} = \frac{S}{G+S} = \frac{2.5}{25+2.5} = \frac{2.5}{27.5} = \frac{1}{11}\).
Step 3: Final Answer:
\(\boxed{\frac{i}{i_0} = \frac{1}{11}}\)
Was this answer helpful?
0
0
Top MET Physics Questions
- A coil of 100 turns and area $2 \times 10^{-2}m^2 $ is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- In intrinsic semiconductor at room temperature number of electrons and holes are
- A rope of mass $0.1\, kg$ is connected at the same height of two opposite walls. It is allowed to hang under its own weight. At [he contact point between the rope and the wall, the rope makes an angle $ \theta =10^{\circ} $ with respect to horizontal. The tension in the rope at its midpoint between the walls is
- At great distances from an electric dipole, the electric field strength due to the dipole varies with the distance as
View More Questions
Top MET Current electricity Questions
- A uniform wire of resistance $9\Omega$ is cut into 3 equal parts. They are connected in the form of equilateral triangle ABC. A cell of emf 2V and negligible internal resistance is connected across B and C. Potential difference across AB is
- In a potentiometer experiment two cells of emf $E_{1}$ and $E_{2}$ are used in series and in conjunction and the balancing length is found to be $58~\mathrm{cm}$ of the wire. If the polarity of $E_{2}$ is reversed, then the balancing length becomes $29~\mathrm{cm}$. The ratio $\frac{E_1}{E_2}$ of the emfs of the two cells is}
- Voltage and current in an AC circuit are given by $V = 5\sin \left(100\pi t - \frac{\pi}{6}\right)$ and $I = 4\sin \left(100\pi t + \frac{\pi}{6}\right)$
- An electric motor operates on a $50~\mathrm{V}$ supply and a current of $12\mathrm{A}$. If the efficiency of the motor is $30%$, what is the resistance of the winding of the motor?
- A galvanometer of resistance $20\Omega$ is to be converted into an ammeter of range $1\mathrm{A}$. If a current of $1\mathrm{mA}$ produces full scale deflection, the shunt required for the purpose is}
View More Questions
Top MET Questions
- A coil of 100 turns and area $2 \times 10^{-2}m^2 $ is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
- $\int\limits_{0}^{8}| x -5| d x$ is equal to
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- In intrinsic semiconductor at room temperature number of electrons and holes are
- Which of the following product is formed in the reaction $ CH_3MgBr {->[(i)CO_2][(ii)H_2O]} ? $
View More Questions