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Question

The resistance of an ammeter is 13 Ω and its scale is made for a current upto 100 amp. After an additional shunt has been connected to this ammeter it becomes possible to measure current upto 750 amp.. The value of shunt resisance is 


A
2 Ω
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B
0.2 Ω
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C
20 Ω
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D
200 Ω
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Solution

The correct option is A 2 Ω
As ammeter can measure upto 100 amp. So, when a resistance is connected in parallel then also max. current that can flow through this ammeter is 100 Amp i.e Ia=100 A
But, as a resistance is connected in parallel (called shunt) then the voltage in both ammeter and in shunt is same so,
Vs=Va
IsRs=IaRa(i)  
From KCL, I=Is+Ia
750=Is+100
Is=650 A
Put all values in equation (i)
650×Rs=100×13
Rs=2 Ω

 

Physics

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