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Q.

Consider two identical galvanometers and two identical resistor with resistance R. If the internal resistance of the galvanometers $R_{C} < R / 2,$ Which of the following statement (s) about any one of the galvanometers is (are) true?

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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 galvanometer

c

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

d

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

answer is A, C.

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Detailed Solution

For A

$Range of voltmeter = V_{A} = i_{g} [2 R_{c} + 2 R]$

$V is max in this case as RHS is maximum.$

For C

$\begin{array}{l} Range of ammeter = I = \frac{2 i_{g} \frac{R_{c}}{2}}{\frac{R}{2}} + 2 i_{g} \\ here I is maximum. \end{array}$

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