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# The voltage across a 120-k$\Omega$ resistor in a circuit containing additional resistance $(R_2)$ in series with a battery (V) is measured, by a $20,000$-$\Omega/\mathrm{V}$ meter on the $100$-$\mathrm{V}$ scale, to be $25 ~\mathrm{V}$. On the $30$-$\mathrm{V}$ scale, the reading is $23 ~\mathrm{V}$. What is the actual voltage in the absence of the voltmeter? What is $R_2?$

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## Situation:

The voltage across $120.0\times 10^3~\mathrm{\Omega}$ resistor is measured by a voltmeter with $20\times 10^3~\mathrm{\Omega / V}$ sensitivity. If the scale of the voltmeter is $100.0~\mathrm{V}$, the reading is $25.0~\mathrm{V}$. If the scale of the voltmeter is $30.0~\mathrm{V}$ the reading is $23.0~\mathrm{V}$.

Determine the voltage across the resistor if there is no voltmeter connected in the circuit.

The resistor is in a circuit with another resistor $R_2$ in series with battery $V$.

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