Question:
The shunt required to send 10% of the main current through a moving coil galvanometer of resistance \(99\,\Omega\) is
The shunt required to send 10% of the main current through a moving coil galvanometer of resistance \(99\,\Omega\) is
Show Hint
Shunt resistance is always small compared to galvanometer resistance.
Updated On: May 8, 2026
- \(99\,\Omega\)
- \(9.9\,\Omega\)
- \(9\,\Omega\)
- \(10\,\Omega\)
- \(11\,\Omega\)
Show Solution
Verified By Collegedunia
The Correct Option is
Solution and Explanation
Concept:
Shunt resistance allows most current to bypass galvanometer.
Step 1: Let total current = \(I\).
Current through galvanometer: \[ I_g = 0.1I \]
Step 2: Current through shunt. \[ I_s = 0.9I \]
Step 3: Equal voltage across parallel branches. \[ I_g R_g = I_s R_s \]
Step 4: Substitute values. \[ 0.1I \times 99 = 0.9I \times R_s \]
Step 5: Solve. \[ 9.9 = 0.9R_s \Rightarrow R_s = 11\,\Omega \]
Step 6: Conclusion. \[ \boxed{11\,\Omega} \]
Step 1: Let total current = \(I\).
Current through galvanometer: \[ I_g = 0.1I \]
Step 2: Current through shunt. \[ I_s = 0.9I \]
Step 3: Equal voltage across parallel branches. \[ I_g R_g = I_s R_s \]
Step 4: Substitute values. \[ 0.1I \times 99 = 0.9I \times R_s \]
Step 5: Solve. \[ 9.9 = 0.9R_s \Rightarrow R_s = 11\,\Omega \]
Step 6: Conclusion. \[ \boxed{11\,\Omega} \]
Was this answer helpful?
0
0
Top KEAM Physics Questions
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
- Two capillary tubes A and B of diameter $1\, mm$ and $2\, mm$ respectively are dipped vertically in a liquid. If the capillary rise in A is 6 cm, then the capillary rise in B is
- In the circuit given in figure, 1 and 2 are ammeters. Just after key K is pressed to complete the circuit, the reading will be
- A plate has a length $ 5\pm 0.1\text{ }cm $ and breadth $ 2\pm 0.01\text{ }cm $ . Then the area of the plate is:
View More Questions
Top KEAM Current electricity Questions
- In the circuit given in figure, 1 and 2 are ammeters. Just after key K is pressed to complete the circuit, the reading will be
- Nichrome is used as electrical heating element because of its
- When two resistances $ {{R}_{1}} $ and $ {{R}_{2}} $ are connected in series, they consume $ 12 \,W $ power. When they are connected in parallel, they consume $ 50\, W $ power. What the ratio of the powers of $ {{R}_{1}} $ and $ {{R}_{2}} $ ?
- An ammeter, voltmeter and a resistor are connected in series to a cell and the readings are noted as $I$ and $V$ . If another resistor $R$ is connected in parallel with voltmeter, then
- Consider a cylindrical conductor of Length L and area of cross section A. The specific conductivity varies as $\sigma (x) = \sigma_0 \frac{L}{\sqrt{x}}$ where x is the distance along the axis of the cylinder from one of its ends. The resistance of the system along the cylindrical axis is
View More Questions
Top KEAM Questions
- i.$\quad$ They help in respiration ii.$\quad$ They help in cell wall formation iii.$\quad$ They help in DNA replication iv. $\quad$They increase surface area of plasma membrane Which of the following prokaryotic structures has all the above roles?
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
- The pH of a solution obtained by mixing 60 mL of 0.1 M BaOH solution at 40m of 0.15m HCI solution is
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
- If $\int e^{2x}f' \left(x\right)dx =g \left(x\right)$, then $ \int\left(e^{2x}f\left(x\right) + e^{2x} f' \left(x\right)\right)dx =$
View More Questions