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AP® Physics 1 & 2

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Difficult

Variable Resistor Setting

APPH12-PZGWTY

The diagram above shows a $ {400\space \Omega }$ resistor connected in series to a variable resistor,$ r$, and a constant $9.0\space V$ battery (no internal resistance). A student building this circuit wants to create a $6.0\space V$ potential difference across the variable resistor.

What value should the variable resistor have to meet this requirement?

A

${ 200 \space\Omega }$

B

${ 800 \space\Omega }$

C

${ 900 \space\Omega }$

D

${ 1600 \space\Omega }$