Q.
The resistance of an ammeter is 13 Ω and its scale is graduated for a current up to 100 A. After an additional shunt has been connected to this ammeter it becomes possible to measure currents up to 7 50 A by this meter. The value of shunt resistance is
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a
20 Ω
b
2 Ω
c
0.2 Ω
d
2 kΩ
answer is B.
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Detailed Solution
Let ia be the current flowing through ammeter and i the total current. So, a current i−ia will flow through shunt resistance.Potential difference across ammeter and shunt resistance is the same.⇒ ia × R= i−ia ×Sor S=iaRi−ia …..(i)Given, ia =100 A, i=750 A, R=13 ΩHence, S=100 × 13750 −100 = 2 Ω
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