Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers , which of the following statement(s) about any one of the galvanometers is (are) true? [2016]

Question

Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers $R_{c} < \frac{R}{2}$ , which of the following statement(s) about any one of the galvanometers is (are) true? [2016]

Smart Achievers · Accepted Answer

(1, 3)

The range of voltmeter

$V = I_{g} (R_{e q} + G)$

$∴$ Maximum voltage can be obtained if the equivalent resistance of components is maximum, i.e. when all the components are connected in series.

The range of ammeter

$I = I_{g} (1 + \frac{G}{S_{e q}})$

$∴$ Maximum current range can be obtained if the equivalent shunt resistance is minimum, i.e. when all the components are connected in parallel.

Solution

Q.
Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers $R_{c} < \frac{R}{2}$ , which of the following statement(s) about any one of the galvanometers is (are) true [2016]

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

2 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.

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

4 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.

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