First slide

voltmeter

Question

A voltmeter having a resistance of $998 Ω$ is connected to a cell of emf 2 V and internal resistance $2 Ω$ . The error in the measurement of emf will be

Moderate

A

$4 \times 10^{- 1} V$
B

$2 \times 10^{- 3} V$
C

$4 \times 10^{- 3} V$
D

$2 \times 10^{- 1} V$

Solution

Error in measurement - Actual value Measured value
Actual value = 2V
$\begin{array}{l} i = \frac{2}{998 + 2} = \frac{1}{500} A \\ Since E = V + ir \Rightarrow V = E - ir = 2 - \frac{1}{500} \times 2 = \frac{998}{500} V \\ ∴ Measured value = \frac{998}{500} V \\ \Rightarrow Error = 2 - \frac{998}{500} = 4 \times 10^{- 3} V \end{array}$

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