Calculating Resistance in a Light Bulb

In summary, resistance in a light bulb refers to the opposition of electricity flow caused by the filament, and is measured in ohms. It is mainly determined by the material, length, and thickness of the filament, and can be altered to change the brightness of the light bulb. However, changing the resistance can also affect the lifespan of the bulb.
  • #1
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Homework Statement


A "90-watt" light bulb uses an average power of 90W when connected to an rms voltage of 120V .

What is the resistance of the lightbulb?

Homework Equations



Pav=(V2rms/R)

The Attempt at a Solution



90W = 120V2/R
90W/120V2 = R
R = .00625[tex]\Omega[/tex]
 
Last edited:
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  • #2
You have an algebra problem with your solving for R.
 
  • #3
Hrmm...

P = V2/R
PR = V2
R = V2/P
R = 160[tex]\Omega[/tex]

That works better huh? Thank you!
 

What is resistance in a light bulb?

Resistance in a light bulb refers to the opposition a material (such as the filament inside the bulb) has to the flow of electricity. It is measured in ohms and can affect the brightness and lifespan of the light bulb.

What causes resistance in a light bulb?

The main cause of resistance in a light bulb is the material used for the filament. As electricity passes through the filament, it meets resistance due to the collisions between the electrons and the atoms of the material. Other factors such as the length and thickness of the filament can also contribute to the overall resistance.

How does resistance affect the brightness of a light bulb?

Resistance affects the brightness of a light bulb by converting electrical energy into heat energy. As the electric current passes through the filament, it heats up and produces light. The higher the resistance, the more heat is produced, resulting in a brighter light. However, too much resistance can cause the filament to burn out quickly and dim the light bulb.

What determines the amount of resistance in a light bulb?

The amount of resistance in a light bulb is determined by the material, length, and thickness of the filament. Different materials have different levels of resistance, with tungsten being the most commonly used material due to its high melting point. The longer and thinner the filament, the higher the resistance will be.

Can the resistance in a light bulb be changed?

Yes, the resistance in a light bulb can be changed by altering the material, length, and thickness of the filament. Additionally, using a dimmer switch can also adjust the resistance and control the brightness of the light bulb. However, tampering with the resistance can affect the lifespan of the light bulb and should be done carefully.

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