JEE Advanced 2016 Physics question

Consider two identical galvanometers and two identical resistors with resistance . If the internal resistance of the galvanometers , which of the following statement(s) about any one of the galvanometers is(are) true?

(A)The maximum voltage range is obtained when all the components are connected in series
(B)The maximum voltage range is obtained when the two resistors and one galvanometer are connected in series, and the second galvanometer is connected in parallel to the first galvanometerCorrect
(C)The maximum current range is obtained when all the components are connected in parallelCorrect
(D)The maximum current range is obtained when the two galvanometers are connected in series and the combination is connected in parallel with both the resistors

Answer: (B),(C)

Solution

Let a galvanometer carry its full-scale current . Voltage ranges: (A) all in series: . (B) the two galvanometers in parallel share , in series with : . Since , (B) gives the larger range: (B) true, (A) false.

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Question ID VK-026547