What shunt resistance must be connected across a galvanometer of 50.0Q resistance Which gives full-scale deflection with 2.0 mA current, to convert it into an ammeter of range 10.0 A?
Correct answer: B. 0.01 Ω
- A. 105 Ω
- B. 0.01 Ω
- C. 2.5 Ω
- D. 3.9 Ω
- E. 4.7 Ω
Explanation
To convert a galvanometer to an ammeter with a specific range, a shunt resistor (Rs) is placed in parallel with the galvanometer. The formula to calculate the necessary shunt resistance is Rs = (Ig * Rg) / (I - Ig), where Ig is the galvanometer current (2.0 mA), Rg is the galvanometer resistance (50.0 Ω), and I is the desired full-scale current (10.0 A). Substituting these values gives Rs = (0.002 A * 50.0 Ω) / (10.0 A - 0.002 A) = 0.01 Ω.Option B is correct as it matches the calculated value. The other options, A, C, D, and E, are incorrect because they do not align with the calculated shunt resistance required for 10.0 A full-scale deflection.
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