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 Q
- A. 105 Q
- B. 0.01 Q
- C. 2.5 Q
- D. 3.9 Q
- E. 4.7 Q
Explanation
To convert the galvanometer into an ammeter of range 10.0 A, a shunt resistance (Rs) must be connected in parallel with the galvanometer. The formula to calculate the required shunt resistance is:Rs = (G - 1) * RgGiven:Galvanometer resistance (Rg) = 50.0 ΩDesired full-scale deflection current = 10.0 AGalvanometer full-scale deflection current = 2.0 mA = 0.002 ACalculating G:G = 10.0 A / 0.002 A = 5000Calculating the shunt resistance (Rs):Rs = (5000 - 1) * 50.0 ΩRs = 4999 * 50.0 ΩRs = 249,950 Ω = 0.01 Ω (rounded to two decimal places)Therefore, the shunt resistance that must be connected across the galvanometer is approximately 0.01 Ω.
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