Q150 / 160 · TS EAMCET 2021 (05 Aug Shift 2) · Physics

A galvanometer coil has a resistance of $10 Ω$ and the meter shows full scale deflection for a current of $2 mA .$ What resistance needs to be connected to convert the meter into a voltmeter of range $0$ to $18 V ?$

A
$8880 Ω$
Correct answer
B
$8990 Ω$
C
$9000 Ω$
D
$9010 Ω$

Solution

To make the galvanometer as a voltmeter, we have to connect a series shunt resistance.

V = i (R_{G} + R_{s})

\Rightarrow 18 = 2 \times 10^{- 3} \times (10 + R_{s})

\Rightarrow \frac{18 \times 1000}{2} = (10 + R_{s})

\Rightarrow 9000 = (10 + R_{s})

\Rightarrow R_{s} = 9000 - 10 = 8990 Ω

Hence, the correct answer is option: 'B'.

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