MHT CET · Physics · Current Electricity
The resistance of an ammeter is \(13 \Omega\) and its scale is graduated for a current upto \(100 \mathrm{~A}\). After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto \(750 \mathrm{~A}\) by this meter. The value of shunt resistance is
- A \(20 \Omega\)
- B \(2 \Omega\)
- C \(0.2 \Omega\)
- D \(2 \mathrm{k} \Omega\)
Answer & Solution
Correct Answer
(B) \(2 \Omega\)
Step-by-step Solution
Detailed explanation
Let \(i_{a}\) is the current flowing through ammeter and \(i\) is the total current. So, a current \(i-i_{a}\) will flow through shunt resistance.
Potential difference across ammeter and shunt resistance is same.
ie, \(\quad i_{a} \times R=\left(i-i_{a}\right) \times S\)
Or
\(S=\frac{i_{a} R}{i-i_{a}} ...(i)\)
Given, \(i_{a}=100 \mathrm{~A}, i=750 \mathrm{~A}, R=13 \Omega\)
Hence, \(\quad S=\frac{100 \times 13}{750-100}=2 \Omega\)
Potential difference across ammeter and shunt resistance is same.
ie, \(\quad i_{a} \times R=\left(i-i_{a}\right) \times S\)
Or
\(S=\frac{i_{a} R}{i-i_{a}} ...(i)\)
Given, \(i_{a}=100 \mathrm{~A}, i=750 \mathrm{~A}, R=13 \Omega\)
Hence, \(\quad S=\frac{100 \times 13}{750-100}=2 \Omega\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- The instantaneous value of an alternating current is given by \(\mathrm{I}=50 \sin (100 \pi \mathrm{t})\). It will achieve a value of \(25 \mathrm{~A}\) after a time interval of \(\left(\sin 30^{\circ}=0.5\right)\)MHT CET 2021 Medium
- Assuming that junction diode is ideal, the current in arrangement shown in figure
MHT CET 2024 Easy - In energy band diagram of insulators, a band gap and the conduction band is respectivelyMHT CET 2023 Easy
- A body cools from \(60^{\circ} \mathrm{C}\) to \(40^{\circ} \mathrm{C}\) in 6 minutes. After next 6 minutes its temperature will be (Temperature of the surroundings is \(10^{\circ} \mathrm{C}\) )MHT CET 2025 Medium
- A magnetic intensity of \(500 \mathrm{~A} / \mathrm{m}\), produces a magnetic flux of \(2.4 \times 10^{-5} . \mathrm{Wb}\) in an iron bar of cross-sectional area \(0.4 \mathrm{~cm}^2\). The magnetic permeability of the iron bar isMHT CET 2024 Easy
- With forward bias mode, the junction diodeMHT CET 2018 Easy
More PYQs from MHT CET
- If,
Identify the product of above reaction.MHT CET 2023 Medium - The distance between parallel lines \(\overline{\mathrm{r}}=(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}})+\lambda(2 \hat{\mathrm{i}}+\hat{\mathrm{j}}-\hat{\mathrm{k}})\) and \(\overline{\mathrm{r}}=(\hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}})+\mu(2 \hat{\mathrm{i}}+\hat{\mathrm{j}}-2 \hat{\mathrm{k}})\) isMHT CET 2021 Easy
- Identify correct statement for reaction stated below.
\(\mathrm{Ag}_2 \mathrm{O}+\mathrm{H}_2 \mathrm{O}+2 \overline{\mathrm{e}} \rightarrow 2 \mathrm{Ag}+2 \mathrm{OH}^{-}\)MHT CET 2025 Medium - The negation of the statement : "Getting above marks is necessary condition for Hema to get the admission in good college".MHT CET 2018 Easy
- A coil of ' \(n\) ' turns and radius ' \(R\) ' carries a current 'I'. It is unwound and rewound to make a new coil of radius \(\frac{R}{3}\) and the same current is passed through it. The ratio of the magnetic moment of the new coil to that of the original coil isMHT CET 2024 Easy
- Calculate the change in internal energy of the system if 25 kJ of work done by the system and it absorbs 10 kJ of heat.MHT CET 2025 Easy