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AP® Physics 1 & 2

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Difficult

Danger High Voltage (Or Is It Low?)

APPH12-N2I2U7

The circuit shown below consists of a battery of negligible internal resistance and two resistors,
(${R}_{1}=100\text{ Ohms and } {R}_{2}=200 \text{ Ohms}$). The resistance of the connecting wires is also negligible.

The potential difference between two points in the circuit is measured at four different locations. They are:

  • Between points $W$ and $X$; where the potential difference will be known as ($\Delta{V}_{WX}$).
  • Between points $X$ and $Y$; where the potential difference will be known as ($\Delta{V}_{XY}$).
  • Between points $Y$ and $Z$; where the potential difference will be known as ($\Delta{V}_{YZ}$).
  • Between points $Z$ and $W$; where the potential difference will be known as ($\Delta{V}_{ZW}$).

Which of the following choices correctly identifies the absolute value of the measured $\Delta{V}$'s in descending order?

A

$\Delta{V}_{WX}=\Delta{V}_{YZ}>\Delta{V}_{XY}=\Delta{V}_{ZW}$

B

$\Delta{V}_{XY}>\Delta{V}_{ZW}>\Delta{V}_{WX}=\Delta{V}_{YZ}$

C

$\Delta{V}_{YZ}=\Delta{V}_{WX}=\Delta{V}_{XY}=\Delta{V}_{ZW}$

D

$\Delta{V}_{ZW}=\Delta{V}_{XY}>\Delta{V}_{WX}=\Delta{V}_{YZ}$