First slide

Tangent Galvanometer

Question

A voltmeter with a resistance of 50 x10³ ohm is used to measure voltage in a circuit. To increase its range to 3 times, the additional resistance to be put in series is

Easy

A

10⁵ohm
B

150k ohm
C

900 k ohm
D

9x10⁶ ohm

Solution

$R = \frac{V^{'}}{i_{g}} - G = \frac{nV}{(V / R_{0})} - R_{0}$
where R_o is the resistance of voltmeter
$\begin{array}{l} ∴ R = ({nR}_{0} - R_{0}) = (n - 1) R_{0} \\ = (3 - 1) \times (50 \times 10^{3}) \\ = 100 \times 10^{3} = 10^{5} Ω \end{array}$

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