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# Effect on Current of Increasing Voltage: Resistors in Combination

APPH12-QL1BGK

The circuit shown above has three identical resistors that are connected to a source of the variable potential difference. The potential difference is increased from $5.0\text{ volts}$ to $10.0\text{ volts}$.

Which of the following provides the correct prediction and explanation for what will happen to the three currents?

A

${I}_{ 1 }$, ${I}_{ 2 }$, and ${I}_{ 3 }$ will all decrease by a factor of 5 because the voltage went up by 5.

B

${I}_{ 1 }$ will increase by a factor of 2 because ${I}_{ 1 }$ is closest to the voltage source. ${I}_{ 2 }$ and ${I}_{ 3 }$ will remain unchanged.

C

${ I}_{ 1 }$ will increase by a factor of 4 because ${I}_{ 2 }$ and ${I}_{ 3 }$ will increase by a factor of 2 because the voltage on each branch is doubled.

D

${I}_{ 1 }$, ${ I }_{ 2 }$, and ${ I }_{ 3 }$ will all increase by a factor of 2 because the voltage is doubled and the equivalent resistance is constant, so each current will double.