Question Detail
Question
A galvanometer of 50 ? gives full scale deflection with 2 mA current. To convert it into ammeter, range of 10 A is connected with it, shunt resistance should be
Correct Answer
Option C is the correct answer.
Detailed Explanation
To convert a galvanometer into an ammeter, a small resistance called a shunt resistance (Rs) is connected in parallel with the galvanometer. The formula for shunt resistance is: Rs = (Ig * Rg) / (I - Ig)Given: Galvanometer resistance (Rg) = 50 Ω, Full-scale deflection current (Ig) = 2 mA = 2 × 10^-3 A, Required range (I) = 10 A.Rs = (2 × 10^-3 A * 50 Ω) / (10 A - 2 × 10^-3 A)Rs = (0.1) / (9.998)Rs ≈ 0.010002 Ω, which is approximately 0.01 Ω.
Hint
Remember the formula for calculating shunt resistance when converting a galvanometer to an ammeter. Pay attention to unit conversions (mA to A).