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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 volts to 10.0 volts.

Which choice below 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.