Mystery of the Sunken Treasure! Scenario: You're on an underwater adventure seeking a legendary sunken treasure. You find a sealed chest with an electronic lock safeguarded by a complex resistor network. Attached to the chest is a note: "To unlock, adjust the variable resistor to make the entire network have an equivalent resistance of 10 ohms." Resistor Network: 1. Resistor R1=8 ohms 2. Resistor R2=12 ohms 3. Resistor R3=6 ohms 4. A variable resistor Rv whose resistance you need to adjust. It starts at 4 ohms but can be adjusted from 1 to 10 ohms. The resistors are connected in the following manner: ● ● R1 and R2 are connected in parallel. This combination is labeled as Rparallel. Rparallel, R3, and Rv are then connected in series. Question: To what value should you adjust the variable resistor Rv to make the entire network's resistance 10 ohms?

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Mystery of the Sunken Treasure!
Scenario: You're on an underwater adventure seeking a legendary sunken treasure. You
find a sealed chest with an electronic lock safeguarded by a complex resistor network.
Attached to the chest is a note: "To unlock, adjust the variable resistor to make the
entire network have an equivalent resistance of 10 ohms."
Resistor Network:
1. Resistor R1=8 ohms
2. Resistor R2= 12 ohms
3. Resistor R3=6 ohms
4. A variable resistor Rv whose resistance you need to adjust. It starts at 4 ohms but
can be adjusted from 1 to 10 ohms.
The resistors are connected in the following manner:
●
●
R1 and R2 are connected in parallel. This combination is labeled as Rparallel.
Rparallel, R3, and Rv are then connected in series.
Question: To what value should you adjust the variable resistor Rv to make the entire
network's resistance 10 ohms?
Transcribed Image Text:Mystery of the Sunken Treasure! Scenario: You're on an underwater adventure seeking a legendary sunken treasure. You find a sealed chest with an electronic lock safeguarded by a complex resistor network. Attached to the chest is a note: "To unlock, adjust the variable resistor to make the entire network have an equivalent resistance of 10 ohms." Resistor Network: 1. Resistor R1=8 ohms 2. Resistor R2= 12 ohms 3. Resistor R3=6 ohms 4. A variable resistor Rv whose resistance you need to adjust. It starts at 4 ohms but can be adjusted from 1 to 10 ohms. The resistors are connected in the following manner: ● ● R1 and R2 are connected in parallel. This combination is labeled as Rparallel. Rparallel, R3, and Rv are then connected in series. Question: To what value should you adjust the variable resistor Rv to make the entire network's resistance 10 ohms?
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