Can the Brightness of Light Bulb C be Increased by Cutting a Wire?

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SUMMARY

The discussion centers on the challenge of increasing the brightness of light bulb C by cutting a wire in a circuit with bulbs A, B, and C. The consensus is that cutting the wire between bulbs B and C does not enhance brightness, as it would break the circuit and prevent current flow. The key takeaway is that it is impossible to increase the brightness of bulb C by cutting any wire, as doing so either opens the circuit or increases the overall resistance, thereby reducing current.

PREREQUISITES
  • Understanding of Ohm's Law (I=V/R)
  • Knowledge of series and parallel resistor configurations
  • Familiarity with circuit diagrams and components
  • Basic principles of electrical resistance
NEXT STEPS
  • Study the effects of cutting wires in series and parallel circuits
  • Learn about equivalent resistance calculations for complex circuits
  • Explore practical applications of Ohm's Law in circuit design
  • Investigate how to manipulate circuit components to achieve desired brightness levels
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Students studying electrical engineering, educators teaching circuit theory, and hobbyists interested in electronics and circuit design.

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Homework Statement



https://www.dropbox.com/s/8tbqxmeoiulxg7s/Screen shot 2013-03-06 at 7.54.11 PM.png

The three light bulbs A, B, and C do not necessarily have the same resistance. The battery voltage remains constant. Click on a wire to cut that will result in the light bulb C glowing brighter. If it is not possible to do this, click in the target area. Careful, you get only 3 clicks.

Hint: Write out the formula for the current through the bulb and see what happens if one of the resistances goes to infinity. Use the methods found on the pages for parallel and series resistors.

Homework Equations



I=V/R
Resistors in series (Req = R1 + R2 + ...)
Resistors in parallel (1/Req = 1/R1 + 1/R2 + ...)

The Attempt at a Solution



On the picture you can see that there is a "x" on the wire between bulbs B and C. That is where I thought the wire had to be cut since this would remove resistors A and B, but it was wrong. I think it may be impossible to do this, but I only have two attempts left so I want to make sure I do not make a mistake again.

Thank you!
 
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If you cut at that point then the circuit won't be closed so there won't be any current.
 
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I think the answer is impossible. c is the only one that can be cut out but if you were to cut it out it would increase the resistance of b. This is because the equivalent resistance of two parallel resistors is less then the resistance of the resistors.
 

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