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Question

Consider two identical galvanometers and two identical resistors having resistance, R. Which of the following is true? If the internal resistance of the galvanometers RC<R2, which of the following statement(s) about any one of the galvanometers is(are) true?


A

The maximum current range is obtained when all the components are connected in parallel

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B

The maximum voltage range is obtained when all the components are connected in series

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C

The maximum current range is obtained when two galvanometers are connected in series and the combination in parallel with both the resistors.

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D

The maximum voltage range is obtained when two resistors and one galvanometer is connected in series, and the second galvanometer is connected in parallel to the first galvanometer.

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Solution

The correct option is B

The maximum voltage range is obtained when all the components are connected in series


Explanation for correct options(A) and option(B).

The explanation for option(A):

The range of voltmeter V is given by the expression

V=Ig(Rc+(Rc+R+R))

V is maximum in this case.

Thus option(A) is correct.

Explanation for option(B):

The range of ammeter I is given by the expression.

I=IgRcReq+Ig

Where,

1Req=1Rc+1R

Here Reqā€‹ is the minimum and therefore I is the maximum.

Thus option(b) is correct.

Explanation for incorrect options(C) and option(D).

Explanation for option(C):

The maximum current range is obtained when all the components are connected in parallel.

Thus option (c) is not the correct answer.

Explanation for option(D):

The maximum voltage range is obtained when all the components are connected in series.

Thus option (D) is not the correct answer.

Therefore the correct options are option(A) and option(B).


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