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Q.

An ammeter has a resistance of 50 $Ω$ and a full scale deflection current of 50 $μ$ A. It can be used as a voltmeter or as a higher range ammeter provided that a resistance is
added to it. Choose the correct range and resistance combination from the following

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a

20 V range with approximately 400 k $Ω$ resistance in series

b

1 mA range with 50 $Ω$ resistance in parallel

c

100 V range with approximately 2 × 10⁶ $Ω$ resistance in series

d

0.1 mA range with 50 $Ω$ resistance in parallel

answer is A, B, D.

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Detailed Solution

For ammeter,
$i = \frac{i_{max} (R_{s} + R_{A})}{(R_{s})}$
$\Rightarrow i = 0 .1 mA for R_{s} = 50 Ω [as R_{A} = 50 Ω and i_{max} = 50 μA]$
For voltmeter,
$\begin{array}{l} V = i_{max} (R_{A} + R_{V}) \\ \Rightarrow V \approx 10 V for R_{v} = 200 kΩ \end{array}$

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