A voltmeter with internal resistance of xtext | vedclass

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(A) To increase the range of a voltmeter from $V$ to $V'$, a high resistance $R$ must be connected in series with the voltmeter.The formula for the re

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connect a resistor of $\frac{x}{2}	ext{ }\Omega$ in series with the voltmeter.

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(A) To increase the range of a voltmeter from $V$ to $V'$, a high resistance $R$ must be connected in series with the voltmeter.The formula for the required series resistance is $R = R_v (\frac{V'}{V} - 1)$, where $R_v$ is the internal resistance of the voltmeter.Given: $R_v = x	ext{ }\Omega$, $V = 20	ext{ V}$, and $V' = 30	ext{ V}$.Substituting these values into the formula:$R = x (\frac{30}{20} - 1)$$R = x (1.5 - 1)$$R = 0.5x = \frac{x}{2}	ext{ }\Omega$.Therefore, a resistor of $\frac{x}{2}	ext{ }\Omega$ must be connected in series with the voltmeter.

$A$ voltmeter with internal resistance of $x\text{ }\Omega$ can be used to measure up to $20\text{ V}$. In order to increase its measuring range to $30\text{ V}$, the required modification is to . . . . . . .

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