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AP® Physics 1 & 2

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Moderate

Three Voltmeters

APPH12-QPWNZV

A variable resistor, $r$, and a fixed resistor, $R$, are connected in series to a battery.

Three voltmeters, ${ V }_{ 1 }$, ${ V }_{ 2 }$, and ${ V }_{ 3 }$ are connected across each device as shown in the picture.

If the values read off voltmeters ${ V }_{ 1 }$ and ${ V }_{ 2 }$ are $937\text{ mV}$ and $7.64\text{ V}$ respectively, what is a possible value for the reading of ${ V }_{ 3 }$?

A

$8.58\text{ V}$

B

$944.64\text{ V}$

C

$4.29\text{ V}$

D

$16.2\text{ V}$