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Q.

A micro-ammeter has a resistance of 100 $Ω$ and full scale range of $50 µ A .$ It can be used as a voltmeter and an ammeter of a higher range provided a resistance is added to it. Pick the correct range and resistance combination (s):

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a

50 V range with 10 k $Ω$ resistance is series.

b

10 V range with 200 k $Ω$ resistance in series.

c

5 mA range with 1 $Ω$ resistance in parallel.

d

10 mA range with 1 $Ω$ resistance in parallel.

answer is B, C.

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Detailed Solution

For $50 V, R_{V} = \frac{50}{50 \times 10^{- 6}} = 1000 K Ω$ in series
For $10 V, R_{V} = \frac{10}{50 \times 10^{- 6}} = 200 K Ω$ in series
For $5 m A, R_{S} = \frac{100 \times 50 \times 10^{- 6}}{5 \times 10^{- 3}} = 1 Ω$ in parallel
For $10 m A, R_{S} = \frac{100 \times 50 \times 10^{- 6}}{10 \times 10^{- 3}} = \frac{1}{2} Ω$ in parallel

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