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PhysicsMediumMCQ2016 · 09 Apr Online

Q18.A 50 Ω resistance is connected to a battery of 5 V . A galvanometer of resistance 100 Ω is to be used as an ammeter to measure current through the resistance, for this a resistance rS is connected to the galvanometer. Which of the following connections should be employed if the measured current is with in 1% of the current without the ammeter in the circuit? (1) rS = 0.5Ω in series with galvanometer (2) rS = 1 Ω in series with galvanometer (3) rS = 1 Ω in parallel with galvanometer (4) rS = 0.5 Ω in parallel with the galvanometer

What This Question Tests

This question assesses the ability to calculate the required shunt resistance for an ammeter and analyze its effect on the circuit current to maintain measurement accuracy.

Concepts Tested

Ammeter constructionShunt resistanceParallel combination of resistorsPercentage error

Formulas Used

I = V/R

R_eq = (R_g * R_s) / (R_g + R_s)

Percentage error = ((I_true - I_measured) / I_true) * 100

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