Using voltmeter only!

In the circuit above, when the switch is in position 0, the voltmeter shows a voltage of \(6V\). When the switch is in position 1, the voltmeter shows a voltage of \(12V\). What is the voltage (in volts) on the voltmeter when the switch is in position 2? Submit your answer to the nearest integer.

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Details and Assumptions:

  • The voltmeter is ideal, i.e. its internal resistance is infinitely large.
  • The values of \(E, R, I\) are unknown.
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